Characterization of Mixtures of Geometric Distributions by Means of a Predictor and Expectations of Order Statistics

Document Type : Original Article

Authors

Abstract

Discrete mixtures of geometric distributions are characterized in terms of
(i) relations between the best predictor of max (X1, X2) given min (X1, X2) and the failure rate of the distribution.
(ii) relations between conditional expectation of some appropriate functions of order statistics on some others and the failure rate of the distributions.
Kirmani and Alam (1980) and Dallas (1987) main results follow as particular cases of our results.

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