A Continuous, Bivariate Exponential Extension
- 1 December 1974
- journal article
- research article
- Published by Taylor & Francis in Journal of the American Statistical Association
- Vol. 69 (348) , 1031-1037
- https://doi.org/10.1080/01621459.1974.10480249
Abstract
Two derivations are given for an absolutely continuous bivariate extension of the exponential distribution. This distribution turns out to be the absolutely continuous part of the bivariate exponential distribution of Marshall and Olkin and a variant of the bivariate exponential extension of Freund. One derivation utilizes the loss of memory property (LMP) which Marshall and Olkin used to derive their bivariate exponential distribution. Distributional properties, reliability considerations and estimation for this distribution are discussed. Further, the LMP is characterized for absolutely continuous bivariate random variables (X, Y) through the independence of min (X, Y) and X – Y.Keywords
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