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Showing papers by "Arizona State University published in 2000"


Journal ArticleDOI
10 Mar 2000-Science
TL;DR: This study identified a ranking of the importance of drivers of change, aranking of the biomes with respect to expected changes, and the major sources of uncertainties in projections of future biodiversity change.
Abstract: Scenarios of changes in biodiversity for the year 2100 can now be developed based on scenarios of changes in atmospheric carbon dioxide, climate, vegetation, and land use and the known sensitivity of biodiversity to these changes. This study identified a ranking of the importance of drivers of change, a ranking of the biomes with respect to expected changes, and the major sources of uncertainties. For terrestrial ecosystems, land-use change probably will have the largest effect, followed by climate change, nitrogen deposition, biotic exchange, and elevated carbon dioxide concentration. For freshwater ecosystems, biotic exchange is much more important. Mediterranean climate and grassland ecosystems likely will experience the greatest proportional change in biodiversity because of the substantial influence of all drivers of biodiversity change. Northern temperate ecosystems are estimated to experience the least biodiversity change because major land-use change has already occurred. Plausible changes in biodiversity in other biomes depend on interactions among the causes of biodiversity change. These interactions represent one of the largest uncertainties in projections of future biodiversity change.

8,401 citations


Journal ArticleDOI
TL;DR: This article conducted a comprehensive meta-analysis of antecedent turnover antecedents, extending an earlier one by Hom and Griffeth (1995), and reported the results of this comprehensive meta analysis.

3,891 citations


Journal ArticleDOI
TL;DR: In this paper, the authors demonstrate a particular flaw in existing econometric studies of the relationship between social and financial performance, and find that CSR has a neutral impact on financial performance.
Abstract: Researchers have reported a positive, negative, and neutral impact of corporate social responsibility (CSR) on financial performance. This inconsistency may be due to flawed empirical analysis. In this paper, we demonstrate a particular flaw in existing econometric studies of the relationship between social and financial performance. These studies estimate the effect of CSR by regressing firm performance on corporate social performance, and several control variables. This model is misspecified because it does not control for investment in R&D, which has been shown to be an important determinant of firm performance. This misspecification results in upwardly biased estimates of the financial impact of CSR. When the model is properly specified, we find that CSR has a neutral impact on financial performance. Copyright © 2000 John Wiley & Sons, Ltd.

3,432 citations


Journal ArticleDOI
TL;DR: The statistical similarities among mediation, confounding, and suppression are described and methods to determine the confidence intervals for confounding and suppression effects are proposed based on methods developed for mediated effects.
Abstract: This paper describes the statistical similarities among mediation, confounding, and suppression. Each is quantified by measuring the change in the relationship between an independent and a dependent variable after adding a third variable to the analysis. Mediation and confounding are identical statistically and can be distinguished only on conceptual grounds. Methods to determine the confidence intervals for confounding and suppression effects are proposed based on methods developed for mediated effects. Although the statistical estimation of effects and standard errors is the same, there are important conceptual differences among the three types of effects.

3,285 citations


Journal ArticleDOI
TL;DR: This article examined the effects of international expansion, as measured by international diversity and mode of market entry, on a firm's technological learning and the effect of this learning on the firm's financial performance.
Abstract: An increasing number of new venture firms are internationalizing their business operations early in their life cycles. Previous explanations of this trend have focused on the importance of technological knowledge, skills, and resources for new ventures' international expansion. However, little is known about how these firms use the technological learning gained through internationalization. This study examined the effects of international expansion, as measured by international diversity and mode of market entry, on a firm's technological learning and the effects of this learning on the firm's financial performance.

2,732 citations


Journal ArticleDOI
TL;DR: In this article, the authors describe the results of a critical incident study based on more than 800 incidents involving self-service technologies solicited from customers through a Web-based survey, and present a discussion of the resulting critical incident categories and their relationship to customer attributions, complaining behavior, word of mouth, and repeat purchase intentions.
Abstract: Self-service technologies (SSTs) are increasingly changing the way customers interact with firms to create service outcomes. Given that the emphasis in the academic literature has focused almost exclusively on the interpersonal dynamics of service encounters, there is much to be learned about customer interactions with technology-based self-service delivery options. In this research, the authors describe the results of a critical incident study based on more than 800 incidents involving SSTs solicited from customers through a Web-based survey. The authors categorize these incidents to discern the sources of satisfaction and dissatisfaction with SSTs. The authors present a discussion of the resulting critical incident categories and their relationship to customer attributions, complaining behavior, word of mouth, and repeat purchase intentions, which is followed by implications for managers and researchers.

2,721 citations


Journal ArticleDOI
TL;DR: In this paper, a structural equations model was used to investigate the effect of perceived performance quality on behavioral intentions and satisfaction, and the results indicated that the perceptions measure of quality fitted the hypothesized model better than data derived from the subjective disconfirmation measure.

2,419 citations


Journal ArticleDOI
TL;DR: The role of nonmoral emotions (e.g. anger and sadness), including moods and dispositional differences in negative emotionality and its regulation, in morally relevant behavior, is reviewed.
Abstract: Research and theory on the role of emotion and regulation in morality have received considerable attention in the last decade. Much relevant work has concerned the role of moral emotions in moral behavior. Research on differences between embarrassment, guilt, and shame and their relations to moral behavior is reviewed, as is research on the association of these emotions with negative emotionality and regulation. Recent issues concerning the role of such empathy-related responses as sympathy and personal distress to prosocial and antisocial behavior are discussed, as is the relation of empathy-related responding to situational and dispositional emotionality and regulation. The development and socialization of guilt, shame, and empathy also are discussed briefly. In addition, the role of nonmoral emotions (e.g. anger and sadness), including moods and dispositional differences in negative emotionality and its regulation, in morally relevant behavior, is reviewed.

2,049 citations


Journal ArticleDOI
TL;DR: The field of viscous liquid and glassy solid dynamics is reviewed by a process of posing the key questions that need to be answered, and then providing the best answers available to the authors and their advisors at this time as mentioned in this paper.
Abstract: The field of viscous liquid and glassy solid dynamics is reviewed by a process of posing the key questions that need to be answered, and then providing the best answers available to the authors and their advisors at this time. The subject is divided into four parts, three of them dealing with behavior in different domains of temperature with respect to the glass transition temperature, Tg , and a fourth dealing with ‘‘short time processes.’’ The first part tackles the high temperature regime T.Tg ,i n which the system is ergodic and the evolution of the viscous liquid toward the condition at Tg is in focus. The second part deals with the regime T;Tg , where the system is nonergodic except for very long annealing times, hence has time-dependent properties ~aging and annealing!. The third part discusses behavior when the system is completely frozen with respect to the primary relaxation process but in which secondary processes, particularly those responsible for ‘‘superionic’’ conductivity, and dopart mobility in amorphous silicon, remain active. In the fourth part we focus on the behavior of the system at the crossover between the low frequency vibrational components of the molecular motion and its high frequency relaxational components, paying particular attention to very recent developments in the short time dielectric response and the high Q mechanical response. © 2000 American Institute of Physics.@S0021-8979~00!02213-1#

1,958 citations


Journal ArticleDOI
TL;DR: Everyday role transitions involving home, work, and other places is focused on boundary-crossing activities, where one exits and enters roles by surmounting role boundaries, spanning high segmentation to high integration.
Abstract: We focus on everyday role transitions involving home, work, and other places. Transitions are boundary-crossing activities, where one exits and enters roles by surmounting role boundaries. Roles can be arrayed on a continuum, spanning high segmentation to high integration. Segmentation decreases role blurring but increases the magnitude of change, rendering boundary crossing more difficult; crossing often is facilitated by rites of passage. Integration decreases the magnitude of change but increases blurring, rendering boundary creation and maintenance more difficult; this challenge often is surmounted by boundary work.

1,934 citations


Journal ArticleDOI
13 Oct 2000-Science
TL;DR: It is concluded that although natural processes can potentially slow the rate of increase in atmospheric CO2, there is no natural "savior" waiting to assimilate all the anthropogenically produced CO2 in the coming century.
Abstract: :Motivated by the rapid increase in atmospheric CO2 due to human activities since the Industrial Revolution, several international scientific research programs have analyzed the role of individual components of the Earth system in the global carbon cycle. Our knowledge of the carbon cycle within the oceans, terrestrial ecosystems, and the atmosphere is sufficiently extensive to permit us to conclude that although natural processes can potentially slow the rate of increase in atmospheric CO 2, there is no natural “savior” waiting to assimilate all the anthropogenically produced CO 2 in the coming century. Our knowledge is insufficient to describe the interactions between the components of the Earth system and the relationship between the carbon cycle and other biogeochemical and climatological processes. Overcoming this limitation requires a systems approach.

Posted Content
TL;DR: In this paper, the authors examine why international actors, including states, firms, and activists, create different types of legalized arrangements to solve political and substantive problems and show how particular forms of legalization provide superior institutional solutions in different circumstances.
Abstract: We examine why international actors -- including states, firms, and activists -- create different types of legalized arrangements to solve political and substantive problems. We show how particular forms of legalization provide superior institutional solutions in different circumstances. We begin by examining the baseline advantages of "hard" legalization (that is, precise, legally binding obligations with appropriate third-party delegation). We emphasize, however, that actors often prefer softer forms of legalization (that is, various combinations of reduced precision, less stringent obligation, and weaker delegation). Soft legalization has a number of significant advantages: it is easier to achieve, provides strategies for dealing with uncertainty, infringes less on sovereignty, and facilitates compromise among differentiated actors. Although our approach is largely interest-based, we explicitly incorporate the normative elements that are central in law and in recent international relations theorizing. We also consider the important role of nonstate actors who, along with states, are central participants in contemporary international legalization. We illustrate the advantages of various forms of international legal arrangements with examples drawn from articles in this special issue and elsewhere.

Journal ArticleDOI
TL;DR: In this paper, the authors examine the ability of technology to customize service offerings, recover from service failure, and spontaneously delight customers, and examine the infusion of technology as an enabler of both employees and customers in efforts to achieve these three goals.
Abstract: Service encounters are critical in all industries, including those that have not been traditionally defined as service industries. The increasing deployment of technology is altering the essence of service encounters formerly anchored in a “low-tech, high-touch” paradigm. This article explores the changing nature of service, with an emphasis on how encounters can be improved through the effective use of technology. The authors examine the ability of technology to effectively (1) customize service offerings, (2) recover from service failure, and (3) spontaneously delight customers. The infusion of technology is examined as an enabler of both employees and customers in efforts to achieve these three goals. Although the infusion of technology can lead to negative outcomes and may not be embraced by all customers, the focus of this article is on the benefits of thoughtfully managed and effectively implemented technology applications. Past research and industry examples are featured and future research directions and managerial implications are highlighted.

Journal ArticleDOI
TL;DR: The authors argue that the better contrast is with what they call the New Public Service, a movement built on work in democratic citizenship, community and civil society, and organizational humanism and discourse theory.
Abstract: The New Public Management has championed a vision of public managers as the entrepreneurs of a new, leaner, and increasingly privatized government, emulating not only the practices but also the values of business. Proponents of the New Public Management have developed their arguments largely through contrasts with the old public administration. In this comparison, the New Public Management will, of course, always win. We argue here that the better contrast is with what we call the “New Public Service,” a movement built on work in democratic citizenship, community and civil society, and organizational humanism and discourse theory. We suggest seven principles of the New Public Service, most notably that the primary role of the public servant is to help citizens articulate and meet their shared interests rather than to attempt to control or steer society.

Journal ArticleDOI
TL;DR: In this article, the authors examine why international actors seek different types of legalized arrangements to solve political and substantive problems and show how particular forms of legalization provide superior institutional solutions in different circumstances.
Abstract: We examine why international actors—including states, firms, and activists—seek different types of legalized arrangements to solve political and substantive problems. We show how particular forms of legalization provide superior institutional solutions in different circumstances. We begin by examining the baseline advantages of “hard” legalization (that is, precise, legally binding obligations with appropriate third-party delegation). We emphasize, however, that actors often prefer softer forms of legalization (that is, various combinations of reduced precision, less stringent obligation, and weaker delegation). Soft legalization has a number of significant advantages, including that it is easier to achieve, provides strategies for dealing with uncertainty, infringes less on sovereignty, and facilitates compromise among differentiated actors.Although our approach is largely interest-based, we explicitly incorporate the normative elements that are central in law and in recent international relations theorizing. We also consider the important role of nonstate actors who, along with states, are central participants in contemporary international legalization. We illustrate the advantages of various forms of international legal arrangements with examples drawn from articles in this special issue and elsewhere.

Journal ArticleDOI
TL;DR: In this paper, the authors explain when and where strategic role conflict occurs and how organizational controls may be used to alleviate it, and how to alleviate the role conflicts between individual managers and between roles.
Abstract: Strategic renewal consists of three subprocesses (competence definition, deployment, and modification). Within each subprocess, the roles of top-, middle- and operating-level managers differ in their time horizon, information requirements, and core values. Dissensus in managers' perceptions about the need for change creates strategic role conflicts within individual managers and between managerial roles. In this article we explain when and where strategic role conflict occurs and how organizational controls may be used to alleviate it.

Journal ArticleDOI
30 Nov 2000-Nature
TL;DR: In both lakes and terrestrial systems, herbivores should have low growth efficiencies when consuming autotrophs with typical carbon-to-nutrient ratios and stoichiometric constraints on herbivore growth appear to be qualitatively similar and widespread in both environments.
Abstract: Biological and environmental contrasts between aquatic and terrestrial systems have hindered analyses of community and ecosystem structure across Earth's diverse habitats. Ecological stoichiometry1,2 provides an integrative approach for such analyses, as all organisms are composed of the same major elements (C, N, P) whose balance affects production, nutrient cycling, and food-web dynamics3,4. Here we show both similarities and differences in the C:N:P ratios of primary producers (autotrophs) and invertebrate primary consumers (herbivores) across habitats. Terrestrial food webs are built on an extremely nutrient-poor autotroph base with C:P and C:N ratios higher than in lake particulate matter, although the N:P ratios are nearly identical. Terrestrial herbivores (insects) and their freshwater counterparts (zooplankton) are nutrient-rich and indistinguishable in C:N:P stoichiometry. In both lakes and terrestrial systems, herbivores should have low growth efficiencies (10–30%) when consuming autotrophs with typical carbon-to-nutrient ratios. These stoichiometric constraints on herbivore growth appear to be qualitatively similar and widespread in both environments.

Journal ArticleDOI
TL;DR: In this paper, a review of the family literature on domestic violence suggests that two broad themes of the 1990s provide the most promising directions for the future: the importance of distinctions among types or contexts of violence, and issues of control, although most visible in the feminist literature that focuses on men using violence to control women, also arise in other contexts, calling for more general analyses of the interplay of violence and power in relationships.
Abstract: This review of the family literature on domestic violence suggests that two broad themes of the 1990s provide the most promising directions for the future. The first is the importance of distinctions among types or contexts of violence. Some distinctions are central to the theoretical and practical understanding of the nature of partner violence, others provide important contexts for developing more sensitive and comprehensive theories, and others may simply force us to question our tendency to generalize carelessly from one context to another. Second, issues of control, although most visible in the feminist literature that focuses on men using violence to control “their” women, also arise in other contexts, calling for more general analyses of the interplay of violence, power, and control in relationships. In addition to these two general themes, our review covers literature on coping with violence, the effects on victims and their children, and the social effects of partner violence. She wandered the streets, looking in shop windows. Nobody knew her here. Nobody knew what he did when the door was closed. Nobody knew. (Brant, 1996, pp. 281)

Posted Content
TL;DR: This paper developed an empirically based conception of international legalization to show how law and politics are intertwined across a wide range of institutional forms and to frame the analytic and empirical articles that follow in this volume.
Abstract: We develop an empirically based conception of international legalization to show how law and politics are intertwined across a wide range of institutional forms and to frame the analytic and empirical articles that follow in this volume. International legalization is a form of institutionalization characterized by three dimensions: obligation, precision, and delegation. Obligation means that states are legally bound by rules or commitments and therefore subject to the general rules and procedures of international law. Precision means that the rules are definite, unambiguously defining the conduct they require, authorize, or proscribe. Delegation grants authority to third parties for the implementation of rules, including their interpretation and application, dispute settlement, and (possibly) further rule making. These dimensions are conceptually independent, and each is a matter of degree and gradation. Their various combinations produce a remarkable variety of international legalization. We illustrate a continuum ranging from "hard" legalization (characteristically associated with domestic legal systems) through various forms of "soft" legalization to situations where law is largely absent. Most international legalization lies between the extremes, where actors combine and invoke varying degrees of obligation, precision, and delegation to create subtle blends of politics and law.

Journal ArticleDOI
TL;DR: It is hypothesized that the continuous generation of variation in the rDNA may also play a role in how species interactions develop in ecosystems under different conditions of energy input and nutrient supply.
Abstract: Ecological stoichiometry is the study of the balance of multiple chemical elements in ecological interactions. This paper reviews recent findings in this area and seeks to broaden the stoichiometric concept for use in evolutionary studies, in integrating ecological dynamics with cellular and genetic mechanisms, and in developing a unified means for studying diverse organisms in diverse habitats. This broader approach would then be considered “biological stoichiometry”. Evidence supporting a hypothesised connection between the C:N:P stoichiometry of an organism and its growth rate (the “growth rate hypothesis”) is reviewed. Various data indicate that rapidly growing organisms commonly have low biomass C:P and N:P ratios. Evidence is then discussed suggesting that low C:P and N:P ratios in rapidly growing organisms reflect increased allocation to P-rich ribosomal RNA (rRNA), as rapid protein synthesis by ribosomes is required to support fast growth. Indeed, diverse organisms (bacteria, copepods, fishes, others) exhibit increased RNA levels when growing actively. This implies that evolutionary processes that generate, directly or indirectly, variation in a major life history trait (specific growth rate) have consequences for ecological dynamics due to their effects on organismal elemental composition. Genetic mechanisms by which organisms generate high RNA, high growth rate phenotypes are discussed next, focusing on the structure and organisation of the ribosomal RNA genes (the “rDNA”). In particular, published studies of a variety of taxa suggest an association between growth rate and variation in the length and content of the intergenic spacer (IGS) region of the rDNA tandem repeat unit. In particular, under conditions favouring increased growth or yield, the number of repeat units (“enhancers”) increases (and the IGS increases in length), and transcription rates of rRNA increase. In addition, there is evidence in the literature that increased numbers of copies of rDNA genes are associated with increased growth and production. Thus, a combination of genetic mechanisms may be responsible for establishing the growth potential, and thus the RNA allocation and C:N:P composition, of an organism. Furthermore, various processes, during both sexual and asexual reproduction, can generate variation in the rDNA to provide the raw material for selection and to generate ecologically significant variation in C:N:P stoichiometry. This leads us to hypothesize that the continuous generation of such variation may also play a role in how species interactions develop in ecosystems under different conditions of energy input and nutrient supply.

Journal ArticleDOI
TL;DR: In this article, the effects of emotionality and regulation on social functioning were examined and it was shown that negative emotionality moderated the relation of behavior regulation to socially appropriate/prosocial behavior.
Abstract: Individual differences in emotionality and regulation are central to conceptions of temperament and personality. In this article, conceptions of emotionality and regulation and ways in which they predict social functioning are examined. Linear (including additive) and nonlinear effects are reviewed. In addition, data on mediational and moderational relations from a longitudinal study are presented. The effects of attention regulation on social functioning were mediated by resiliency, and this relation was moderated by negative emotionality at the first, but not second, assessment. Negative emotionality moderated the relation of behavior regulation to socially appropriate/prosocial behavior. These results highlight the importance of examining different types of regulation and the ways in which dispositional characteristics interact in predicting social outcomes.

Journal ArticleDOI
TL;DR: In this article, a meta-analytic review of the empirical literature on the determinants of CEO pay was conducted, and the hypothesized relationships between firm size, performance, and CEO pay were tested.

Journal ArticleDOI
TL;DR: Using positron emission tomography, it is found contralateral activity correlated with graded cooling stimuli only in the dorsal margin of the middle/posterior insula in humans, which supports the proposal that central pain results from loss of the normal inhibition of pain by cold.
Abstract: Temperature sensation is regarded as a submodality of touch, but evidence suggests involvement of insular cortex rather than parietal somatosensory cortices. Using positron emission tomography (PET), we found contralateral activity correlated with graded cooling stimuli only in the dorsal margin of the middle/posterior insula in humans. This corresponds to the thermoreceptive- and nociceptive-specific lamina I spinothalamocortical pathway in monkeys, and can be considered an enteroceptive area within limbic sensory cortex. Because lesions at this site can produce the post-stroke central pain syndrome, this finding supports the proposal that central pain results from loss of the normal inhibition of pain by cold. Notably, perceived thermal intensity was well correlated with activation in the right (ipsilateral) anterior insular and orbitofrontal cortices.

Journal ArticleDOI
01 Apr 2000
TL;DR: This paper reviews methodologies that achieve perceptually transparent coding of FM- and CD-quality audio signals, including algorithms that manipulate transform components, subband signal decompositions, sinusoidal signal components, and linear prediction parameters, as well as hybrid algorithms that make use of more than one signal model.
Abstract: During the last decade, CD-quality digital audio has essentially replaced analog audio. Emerging digital audio applications for network, wireless, and multimedia computing systems face a series of constraints such as reduced channel bandwidth, limited storage capacity, and low cost. These new applications have created a demand for high-quality digital audio delivery at low bit rates. In response to this need, considerable research has been devoted to the development of algorithms for perceptually transparent coding of high-fidelity (CD-quality) digital audio. As a result, many algorithms have been proposed, and several have now become international and/or commercial product standards. This paper reviews algorithms for perceptually transparent coding of CD-quality digital audio, including both research and standardization activities. This paper is organized as follows. First, psychoacoustic principles are described, with the MPEG psychoacoustic signal analysis model 1 discussed in some detail. Next, filter bank design issues and algorithms are addressed, with a particular emphasis placed on the modified discrete cosine transform, a perfect reconstruction cosine-modulated filter bank that has become of central importance in perceptual audio coding. Then, we review methodologies that achieve perceptually transparent coding of FM- and CD-quality audio signals, including algorithms that manipulate transform components, subband signal decompositions, sinusoidal signal components, and linear prediction parameters, as well as hybrid algorithms that make use of more than one signal model. These discussions concentrate on architectures and applications of those techniques that utilize psychoacoustic models to exploit efficiently masking characteristics of the human receiver. Several algorithms that have become international and/or commercial standards receive in-depth treatment, including the ISO/IEC MPEG family (-1, -2, -4), the Lucent Technologies PAC/EPAC/MPAC, the Dolby AC-2/AC-3, and the Sony ATRAC/SDDS algorithms. Then, we describe subjective evaluation methodologies in some detail, including the ITU-R BS.1116 recommendation on subjective measurements of small impairments. This paper concludes with a discussion of future research directions.

Journal ArticleDOI
TL;DR: This paper identified two sub-components of a destination product, and examined their significance as perceived by tourists, using secondary data relating to visits to a premier Canadian destination, with respect to its visitors' perceptions of quality, value and intent to return.

Journal ArticleDOI
TL;DR: The authors found that participants' behavior conformed to the dictates of a relevant norm (the norm against littering) only under conditions of normative focus, and this relationship held true across three types of procedures for producing normative focus (physiological arousal, modeling, and self-directed attention).
Abstract: In three experiments, respondents’ behavior conformed to the dictates of a relevant norm (the norm against littering) only under conditions of normative focus. This relationship held true across three types of procedures for producing normative focus (physiological arousal, modeling, and self-directed attention), across two types of settings (public and private), and across two types of norms (social and personal). Moreover, factors that would be expected to affect normative action were influential only when the norm was focal. These factors included the degree to which the action violated the relevant norm (Study 2) and the degree to which an individual subscribed to that norm (Study 3). Implications are discussed for developing campaigns to encourage prosocial behavior.


Journal Article
TL;DR: This work educates athletes regarding the risks of dehydration and overhydration on health and physical performance, and works with individual athletes to develop fluid-replacement practices that optimize hydration status before, during, and after competition.
Abstract: Objective: To present recommendations to optimize the fluid-replacement practices of athletes. Background: Dehydration can compromise athletic performance and increase the risk of exertional heat injury. Athletes do not voluntarily drink sufficient water to prevent dehydration during physical activity. Drinking behavior can be modified by education, increasing accessibility, and optimizing palatability. However, excessive overdrinking should be avoided because it can also compromise physical performance and health. We provide practical recommendations regarding fluid replacement for athletes. Recommendations: Educate athletes regarding the risks of dehydration and overhydration on health and physical performance. Work with individual athletes to develop fluid-replacement practices that optimize hydration status before, during, and after competition.

Journal ArticleDOI
TL;DR: The basic geometries for three-dimensional low-connectivity nets are described in this article, and examples of open framework solids with these topologies are adduced for illustration.

Journal ArticleDOI
TL;DR: In this article, the authors introduce several general structures for depth functions, classify many existing examples as special cases, and establish results on the possession, or lack thereof, of four key properties desirable for depth function in general: affine invariance, maximality at center, monotonicity relative to deepest point, and vanishing at infinity.
Abstract: Statistical depth functions are being formulated ad hoc with increasing popularity in nonparametric inference for multivariate data. Here we introduce several general structures for depth functions, classify many existing examples as special cases, and establish results on the possession, or lack thereof, of four key properties desirable for depth functions in general. Roughly speaking, these properties may be described as: affine invariance, maximality at center, monotonicity relative to deepest point, and vanishing at infinity. This provides a more systematic basis for selection of a depth function. In particular, from these and other considerations it is found that the halfspace depth behaves very well overall in comparison with various competitors.