Characterization of Mixtures of Geometric Distributions by Means of a Predictor and Expectations of Order Statistics
Ahmed, A., Yehia, A. (1992). Characterization of Mixtures of Geometric Distributions by Means of a Predictor and Expectations of Order Statistics. EKB Journal Management System, 36(1), 119-135. doi: 10.21608/esju.1992.314856
A.N. Ahmed; A. Y. Yehia. "Characterization of Mixtures of Geometric Distributions by Means of a Predictor and Expectations of Order Statistics". EKB Journal Management System, 36, 1, 1992, 119-135. doi: 10.21608/esju.1992.314856
Ahmed, A., Yehia, A. (1992). 'Characterization of Mixtures of Geometric Distributions by Means of a Predictor and Expectations of Order Statistics', EKB Journal Management System, 36(1), pp. 119-135. doi: 10.21608/esju.1992.314856
Ahmed, A., Yehia, A. Characterization of Mixtures of Geometric Distributions by Means of a Predictor and Expectations of Order Statistics. EKB Journal Management System, 1992; 36(1): 119-135. doi: 10.21608/esju.1992.314856

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

The Egyptian Statistical Journal
Article 8, Volume 36, Issue 1, June 1992, Page 119-135  XML
Document Type: Original Article
DOI: 10.21608/esju.1992.314856
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Authors
A.N. Ahmed; A. Y. Yehia
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.
Keywords
Mixtures; Order Statistics; Predictor; Failure Rate; Geometric Distribution; Conditional Expectation
Statistics
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