Author:
Ghurye S. G.,Marshall Albert W.
Abstract
If the survival function satisfies the functional equation
where e = (1, …, 1), and if the marginal distributions are exponential, then is the multivariate exponential distribution of Marshall and Olkin. The functional equation has many solutions if the requirement of exponential marginals is not imposed, but the class of possible marginals is somewhat limited (e.g., marginals must be absolutely continuous). The class of possible solutions of the equation is characterized in this paper, and several examples are obtained from models for dependence that may be of practical interest.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference6 articles.
1. Association of Random Variables, with Applications
2. A Multivariate Exponential Distribution
3. A continuous bivariate exponential extension;Block;J. Amer. Statist. Assoc.,1974
4. Ferman P. (1981) A characterization of the multivariate exponential distribution. Vestnik Moskov. Univ. Ser. I, No. 4, 44–46.
5. A Bivariate Extension of the Exponential Distribution
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