Dilip Roy

Bio: Dilip Roy is an academic researcher from University of Burdwan. The author has contributed to research in topics: Bivariate analysis & Exponential distribution. The author has an hindex of 16, co-authored 73 publications receiving 1181 citations. Previous affiliations of Dilip Roy include Kalyani Government Engineering College.

Discrete Rayleigh distribution

Abstract: Using a general approach for discretization of continuous life distributions in the univariate & bivariate situations, we have proposed a discrete Rayleigh distribution. This distribution has been examined in detail with respect to two measures of failure rate. Characterization results have also been studied to establish a direct link between the discrete Rayleigh distribution, and its continuous counterpart. This discretization approach not only expands the scope of reliability modeling, but also provides a method for approximating probability integrals arising out of a continuous setting. As an example, the reliability value of a complex system has been approximated. This discrete approximation in a nonnormal setting can be of practical use & importance, as it can replace the much relied upon simulation method. While the replication required is minimal, the degree of accuracy remains reasonable for our suggested method when compared with the simulation method.

Some results on reversed hazard rate

Abstract: In view of the growing importance of reversed hazard rate (RHR) in reliability analysis and stochastic modeling, we have considered different implicative relationships with respect to the monotonic behavior of RHR. In that context, a few characterizing properties have also been presented based on expected inactivity time.

The discrete normal distribution

Abstract: The normal distribution has been playing a key role in stochastic modeling for a continuous setup. But its distribution function does not have an analytical form. Moreover, the distribution of a complex multicomponent system made of normal variates occasionally poses derivational difficulties. It may be worth exploring the possibility of developing a discrete version of the normal distribution so that the same can be used for modeling discrete data. Keeping in mind the above requirement we propose a discrete version of the continuous normal distribution. The Increasing Failure Rate property in the discrete setup has been ensured. Characterization results have also been made to establish a direct link between the discrete normal distribution and its continuous counterpart. The corresponding concept of a discrete approximator for the normal deviate has been suggested. An application of the discrete normal distributions for evaluating the reliability of complex systems has been elaborated as an alte...

CARE‐ing strategy for integration of brand identity with brand image

Abstract: Purpose – The end‐state of marketing is the creation of a lasting bond between the consumers and the offered brand. In view of the growing competition in the market, a never‐ending brand war can be witnessed that attempts to destabilize the consumer‐brand bonding. To ensure a long‐run success, there is a need to develop a system approach towards proper integration of a brand's identity with its image. This paper seeks to address this issue.Design/methodology/approach – The major task is to identify the gap and skilful integration of brand identity with brand image to cement the gap. Improper integration may lead to a major setback in the market and irreparable loss. The authors present a verbal model as the basis for integration so that the chance of a setback becomes minimal.Findings – The authors propose a Brand Derby Matrix, a classification cum decision matrix to enable a marketer to identify its present position and future course of action, in conjunction with the Credibility‐Alteration‐Relationship‐...

Univariate Discrete Distributions

Abstract: Here are two books on a topic new to Technometrics: statistical and mathematical demography. The first author of Applied Mathematical Demography wrote the first two editions of this book alone. The second edition was published in 1985. Professor Keyfritz noted in the Preface (p. vii) that at age 90 he had no interest in doing another edition; however, the publisher encouraged him to find a coauthor. The result is an additional focus for the book in the world of biology that makes it much more relevant for the sciences. The book is now part of the publisher’s series on Statistics for Biology and Health. Much of it, of course, focuses on the many aspects of human populations. The new material focuses on mature population models, the particular focus of the new author (see, e.g., Caswell 2000). As one might expect from a book that was originally written in the 1970s, it does not include a lot of information on statistical computing. The new book by Alho and Spencer is focused on putting a better emphasis on statistics in the discipline of demography (Preface, p. vii). It is part of the publisher’s Series in Statistics. The authors are both statisticians, so the focus is on statistics as used for demographic problems. The authors are targeting human applications, so their perspective on science does not extend any further than epidemiology. The book actually strikes a good balance between statistical tools and demographic applications. The authors use the first two chapters to teach statisticians about the concepts of demography. The next four chapters are very similar to the statistics content found in introductory books on survival analysis, such as the recent book by Kleinbaum and Klein (2005), reported by Ziegel (2006). The next three chapters are focused on various aspects of forecasting demographic rates. The book concludes with chapters focusing on three areas of applications: errors in census numbers, financial applications, and small-area estimates.

Applied Mathematics and Computation

Abstract: The work is giving estimations of the discrepancy between solutions of the initial and the homogenized problems for a one{dimensional second order elliptic operators with random coeecients satisfying strong or uniform mixing conditions. We obtain several sharp estimates in terms of the corresponding mixing coeecient. Abstract. In the theory of homogenisation it is of particular interest to determine the classes of problems which are stable on taking the homogenisation limits. A notable situation where the limit enlarges the class of original problems is known as memory (nonlocal) eeects. A number of results in that direction has been obtained for linear problems. Tartar (1990) innitiated the study of the eeective equation corresponding to nonlinear equation: @ t u n + a n u 2 n = f: Signiicant progress has been hampered by the complexity of required computations needed in order to obtain the terms in power{series expansion. We propose a method which overcomes that diiculty by introducing graphs representing the domain of integration of the integrals in each term. The graphs are relatively simple, it is easy to calculate with them and they give us a clear image of the form of each term. The method allows us to discuss the form of the eeective equation and the convergence of power{series expansions. The feasibility of our method for other types of nonlinearities will be discussed as well.

Software Architecture Optimization Methods: A Systematic Literature Review

Abstract: Due to significant industrial demands toward software systems with increasing complexity and challenging quality requirements, software architecture design has become an important development activity and the research domain is rapidly evolving. In the last decades, software architecture optimization methods, which aim to automate the search for an optimal architecture design with respect to a (set of) quality attribute(s), have proliferated. However, the reported results are fragmented over different research communities, multiple system domains, and multiple quality attributes. To integrate the existing research results, we have performed a systematic literature review and analyzed the results of 188 research papers from the different research communities. Based on this survey, a taxonomy has been created which is used to classify the existing research. Furthermore, the systematic analysis of the research literature provided in this review aims to help the research community in consolidating the existing research efforts and deriving a research agenda for future developments.

Software architecture optimization methods: A systematic literature review

Abstract: Due to significant industrial demands toward software systems with increasing complexity and challenging quality requirements, software architecture design has become an important development activity and the research domain is rapidly evolving. In the last decades, software architecture optimization methods, which aim to automate the search for an optimal architecture design with respect to a (set of) quality attribute(s), have proliferated. However, the reported results are fragmented over different research communities, multiple system domains, and multiple quality attributes. To integrate the existing research results, we have performed a systematic literature review and analyzed the results of 188 research papers from the different research communities. Based on this survey, a taxonomy has been created which is used to classify the existing research. Furthermore, the systematic analysis of the research literature provided in this review aims to help the research community in consolidating the existing research efforts and deriving a research agenda for future developments.

Status and Conspicuousness – Are They Related? Strategic Marketing Implications for Luxury Brands

Abstract: The purpose of this paper is to develop a scale to measure luxury brands' status and conspicuousness using the new luxury brand context as a reference point. This scale will be utilized to establish empirical evidence that allows an exploration of the relationship between status and conspicuousness as dimensions of luxury brand perception. The study used Confirmatory Factor Analysis and Attribute Rating. The data were collected from 204 consumers in France. Status and conspicuousness are revealed to constitute two different, although related, dimensions of luxury brands and should therefore be measured as distinct constructs when assessing brand luxury. Strategic marketing implications for marketing managers are identified and discussed within the context of the three product categories. This is the first empirical study to use actual consumers in order to explore the difference between status and conspicuousness in assessing luxury brands.