Journal ArticleDOI
Multivariate weighted distributions: a review and some extensions
TLDR
In this article, the authors study some properties for multivariate weighted distributions related to reliability measures, ordering, characterization and dependence properties, by compiling and extending previous results given by different authors.Abstract:
We study some properties for multivariate weighted distributions related to reliability measures, ordering, characterization and dependence properties, by compiling and extending previous results given by different authors. We pay special attention to the multivariate size biased and equilibrium distributions, and propose a new definition for the multivariate equilibrium distribution.read more
Citations
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Some new results on the cumulative residual entropy
TL;DR: In this article, Rao et al. defined the cumulative residual entropy and the dynamic cumulative past entropy as new measures of uncertainty in reliability and survival studies, and studied the relationship between these measures and the mean residual life function.
Journal Article
Construction of multivariate distributions: a review of some recent results
TL;DR: In this paper, a review of recent developments in multivariate distribution construction is presented, including the following methods: (a) construction of multivariate distributions based on order statistics, (b) methods based on mixtures, (c) Conditionally specified distributions, (d) multivariate skew distribution, (e) distribution based on the method of the variables in common and (f) other methods, which include multivariate weighted distributions, vines and multivariate Zipf distributions.
Journal ArticleDOI
Quantile based entropy function
TL;DR: A quantile based Shannon entropy function is introduced and it is shown that the residual quantile entropy function determines the quantile density function uniquely through a simple relationship.
Journal ArticleDOI
Quantile based entropy function in past lifetime
TL;DR: In this article, the authors introduced a quantile version of the entropy function in past lifetime and studied its properties, and proved characterizations theorems for some well known quantile lifetime distributions.
Journal ArticleDOI
Study of some measures of dependence between order statistics and systems
TL;DR: Some expressions for the Pearson's correlation coefficient between X"i":"n and X"j":"n are obtained and the Spearman's rho and Kendall's tau coefficients when the variables are independent and identically distributed or when they jointly have an exchangeable distribution.
References
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Journal ArticleDOI
The effect of methods of ascertainment upon the estimation of frequencies
On discrete distributions arising out of methods of ascertainment
TL;DR: In this paper, the frequency of families with both parents heterozygous for albinism and having no albino children was investigated and the actual frequency of the event was not ascertainable.
Book
Conditional specification of statistical models
TL;DR: Applications to Modeling Bivariate Extremes and Bayesian Analysis Using Conditionally Specified Models and Conditional Specification Versus Simultaneous Equation Models are explored.