Characterizations and time-dependent association measures for bivariate Schur-constant distributions

Bivariate Schur-constant distributions have an important role in Bayesian analysis of lifetime data, as models possessing no-ageing property. In the present work, we obtain characterizations of bivariate Schur-constant distributions by properties of functions of random variables and reliability conc...

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Bibliographic Details
Published in:Brazilian journal of probability and statistics 2014-08, Vol.28 (3), p.409-423
Main Authors: Nair, N. Unnikrishnan, Sankaran, P. G.
Format: Article
Language:English
Subjects:
Modeling
Probabilities
Random variables
Reliability functions
Scalars
Time dependence
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Summary:Bivariate Schur-constant distributions have an important role in Bayesian analysis of lifetime data, as models possessing no-ageing property. In the present work, we obtain characterizations of bivariate Schur-constant distributions by properties of functions of random variables and reliability concepts. Various time-dependent measures are analysed and shown to be characterized by the ageing property of the marginal distribution.
ISSN:0103-0752
2317-6199
DOI:10.1214/12-BJPS215