Journal ArticleDOI
Some results on the proportional reversed hazards model
TLDR
The proportional reversed hazards model as mentioned in this paper describes random failure times by a family of distribution functions, where F(x) is a baseline distribution function and X is a random distribution function.About:
This article is published in Statistics & Probability Letters.The article was published on 2000-12-01. It has received 102 citations till now. The article focuses on the topics: Stochastic ordering & Probability density function.read more
Citations
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Journal ArticleDOI
On cumulative entropies
TL;DR: The cumulative entropy is introduced and studied, which is a new measure of information alternative to the classical differential entropy and is particularly suitable to describe the information in problems related to ageing properties of reliability theory based on the past and on the inactivity times.
Journal ArticleDOI
Proportional reversed hazard rate model and its applications
TL;DR: In this paper, the structure and properties of the proportional reversed hazard rate model (PRHRM) in contrast to the celebrated proportional hazard model (PHM) are studied and some criteria of aging are presented and the inheritance of the aging notions (of the base distribution) by the PRHRM is studied.
Journal ArticleDOI
Generalized exponential distribution: Bayesian estimations
Debasis Kundu,Rameshwar D. Gupta +1 more
TL;DR: The approximate Bayes estimators obtained under the assumptions of non-informative priors, are compared with the maximum likelihood estimators using Monte Carlo simulations.
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A measure of discrimination between past lifetime distributions
TL;DR: In this article, a measure of discrepancy between past-life distributions is proposed, based on Kullback-Leibler discrimination information and of discrimination information introduced by Ebrahimi and Kirmani.
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Preservation of classes of life distributions and stochastic orders under weighting
TL;DR: In this article, the authors used a representation of weighted distributions by the Lorenz curve to obtain some results concerning their relations with life distributions and also considered the problem of preservation of stochastic orderings under weighting.
References
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Book
Inequalities: Theory of Majorization and Its Applications
TL;DR: In this paper, Doubly Stochastic Matrices and Schur-Convex Functions are used to represent matrix functions in the context of matrix factorizations, compounds, direct products and M-matrices.
Journal ArticleDOI
Modeling failure time data by lehman alternatives
TL;DR: In this paper, the authors proposed to model failure time data by F*(f) = [F(t)]θ where F(t) is the baseline distribution function and θ is a positive real number.
Journal ArticleDOI
The Power of Rank Tests
E. L. Lehmann,E. L. Lehmann +1 more
TL;DR: In this article, simple nonparametric classes of alternatives are defined for various non-parametric hypotheses and the power of a number of such tests against these alternatives is obtained and illustrated with some numerical results.
Journal ArticleDOI
The Reversed Hazard Rate Function
TL;DR: In this article, the authors discuss some properties of the reversed hazard rate function and compare them with the conventional hazard rate ordering for k-out-of-n systems with respect to the reverse hazard rate.