Book ChapterDOI
Ch. 4. Equilibrium distribution — its role in reliability theory
A. Chatterjee,S.P. Mukherjee +1 more
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This article is published in Handbook of Statistics.The article was published on 2001-01-01. It has received 15 citations till now. The article focuses on the topics: Distribution (number theory) & Reliability theory.read more
Citations
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Multivariate weighted distributions: a review and some extensions
TL;DR: 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.
Journal ArticleDOI
A Generalized Poisson Distribution
TL;DR: In this paper, the cumulative probabilities of a Poisson distribution can be written in terms of incomplete gamma functions where the parameter of the gamma function is an integer, and a new generalization of the Poisson distributions with two parameters is obtained.
Journal ArticleDOI
Modelling lifetimes with bivariate Schur-constant equilibrium distributions from renewal theory
TL;DR: In this article, the asymptotic distribution of the age and residual life in a renewal process is studied and various time dependent measures of association and dependence concepts can be inferred from the ageing properties of the baseline distribution.
Journal ArticleDOI
Failure rate properties of parallel systems
TL;DR: In this paper, failure rate monotonicity and generalised convex transform stochastic ordering properties of random variables were studied, and the effect of a tail-weight iteration procedure to define distributions, which is equivalent to characterisation of moments of the residual lifetime at a given instant, were investigated.
References
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Journal ArticleDOI
Comparison methods for queues and other stochastic models
TL;DR: Comparison properties of random variables and stochastic processes are given and are illustrated by application to various queueing models and questions in experimental design, renewal and reliability theory, PERT networks and branching processes.
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.