•Journal•ISSN: 1026-597X
Austrian Journal of Statistics
Austrian Journal of Statistics
About: Austrian Journal of Statistics is an academic journal published by Austrian Journal of Statistics. The journal publishes majorly in the area(s): Estimator & Mathematics. It has an ISSN identifier of 1026-597X. It is also open access. Over the lifetime, 543 publications have been published receiving 5048 citations.
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TL;DR: A discussion on the future of data analysis which took place on the last day of the Symposium IDA 2000 as discussed by the authors, discussed the main problems of current data analysis as well as future developments were discussed.
Abstract: This contribution is based on a discussion on the future of data analysis which took place on the last day of the symposium IDA 2000. By different discussants the main problems of current data analysis as well as future developments were discussed. Moreover a network for cooperation and continuing education in the field of uncertainty analysis was initiated and the list of scientists who initiated this is given.
433 citations
TL;DR: In this article, the authors generalize the Rayleigh distribution using the quadratic rank transmutation map studied by Shaw et al. They provide a comprehensive description of the mathematical properties of the subject distribution along with its reliability behavior.
Abstract: In this article, we generalize the Rayleigh distribution using the quadratic rank transmutation map studied by Shaw et al. (2009) to develop a transmuted Rayleigh distribution. We provide a comprehensive description of the mathematical properties of the subject distribution along with its reliability behavior. The usefulness of the transmuted Rayleigh distribution for modeling data is illustrated using real data.
128 citations
TL;DR: Fuzzy set theory has been used to combine statistical methods and fuzzy set theory, called fuzzy statistics as mentioned in this paper, and a lot of studies have been done to combine statistics and fuzzy sets.
Abstract: After introducing and developing fuzzy set theory, a lot of studies have been done to combine statistical methods and fuzzy set theory. Thisworks, called fuzzy statistics, have been developed in some branches. In this article we review essential works on fuzzy estimation, fuzzy hypotheses testing, fuzzy regression, fuzzy Bayesian statistics, and some relevant fields.
121 citations
TL;DR: A model for analyzing multiple response models for count data and that may take into account complex correlation structures is developed, a discrete multivariate response approach regarding the left side of models equations.
Abstract: The aim of this paper is to develop a model for analyzing multiple response models for count data and that may take into account complex correlation structures. The model is specified hierarchically in several layers and can be used for sparse data as it is shown in the second part of the paper. It is a discrete multivariate response approach regarding the left side of models equations. Markov Chain Monte Carlo techniques are needed for extracting inferential results. The possible correlation between different counts is more general than the one used in repeated measurements or longitudinal studies framework.
103 citations
TL;DR: In this article, a CoDa-dendrogram-like graph is used to represent compositional data, showing the explanatory role of subcompositions generated in the partition process.
Abstract: Within the special geometry of the simplex, the sample space of compositional data, compositional orthonormal coordinates allow the application of any multivariate statistical approach The search for meaningful coordinates has suggested balances (between two groups of parts)—based on a sequential binary partition of a D-part composition—and a representation in form of a CoDa-dendrogram Projected samples are represented in a dendrogram-like graph showing: (a) the way of grouping parts; (b) the explanatory role of subcompositions generated in the partition process; (c) the decomposition of the variance; (d) the center and quantiles of each balance The representation is useful for the interpretation of balances and to describe the sample in a single diagram independently of the number of parts Also, samples of two or more populations, as well as several samples from the same population, can be represented in the same graph, as long as they have the same parts registered The approach is illustrated with an example of food consumption in Europe
93 citations