Multivariate Exponential Distributions with Constant Failure Rates

In this paper a multivariate failure rate representation based on Cox's conditional failure rate is introduced, characterizations of the Freund–Block and the Marshall–Olkin multivariate exponential distributions are obtained, and generalizations of the Block–Basu and the Friday–Patil bivariate...

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Bibliographic Details
Published inJournal of multivariate analysis Vol. 61; no. 2; pp. 159 - 169
Main Authors Basu, Asit P, Sun, Kai
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 01.05.1997
Elsevier
SeriesJournal of Multivariate Analysis
Subjects
characterization
Distribution theory
Exact sciences and technology
failure rate
Mathematics
Multivariate analysis
multivariate exponential distribution
multivariate exponential distribution reliability N-component system failure rate characterization
N-component system
Probability and statistics
reliability
Sciences and techniques of general use
Statistics
failure rate
multivariate exponential distribution
N-component system
characterization
reliability
Characterization
Multivariate process
N component system
Cox model
Survival function
Exponential distribution
Parallel system
Multivariate distribution
Failure rate
Random variable
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Summary:In this paper a multivariate failure rate representation based on Cox's conditional failure rate is introduced, characterizations of the Freund–Block and the Marshall–Olkin multivariate exponential distributions are obtained, and generalizations of the Block–Basu and the Friday–Patil bivariate exponential distributions are proposed.
ISSN:0047-259X
1095-7243
DOI:10.1006/jmva.1997.1670