Multivariate exponential distributions based on hierarchical successive damage-Reference-Cited by-同舟云学术

Multivariate exponential distributions based on hierarchical successive damage

Published:1975-03 Issue:1 Volume:12 Page:142-147
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Arnold Barry C.

Abstract

A class of multivariate exponential distributions is suggested which includes those presented by Marshall and Olkin, Downton, and Hawkes. It is based on a concept of hierarchical successive damage. Recursive expressions for the Laplace transforms and for first and second moments are derived in the bivariate case. Related multivariate geometric distributions are described.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference5 articles.

1. Bivariate exponential distributions in reliability theory;Downton;J. R. Statist. Soc.,1970

2. A characterization of the geometric distribution and a bivariate geometric distribution;Paulson;Sankhya Ser. A,1972

3. A bivariate exponential distribution with applications to reliability;Hawkes;J. R. Statist. Soc.,1972

4. Arnold B. C. (1974) A characterization of the exponential distribution by multivariate geometric compounding. Sankhya. To appear.

5. A Multivariate Exponential Distribution

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