Characterization of discrete mixtures of exponential distribution based on conditional expectation of order statistics

Wu, Jong-Wuu; Lee, Wen-Chuan

doi:10.1080/02522667.1998.10699392

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The Characterization Theorems For a Mixture Of Weibull And P1

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Cited by 2 publications

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“…If we take = 1 and r = 2, then Theorem 2.1 reduces to the result of El-Arishy and Ahmed (1996). If we take = 1, then Theorem 2.1 reduces to the result of Wu and Lee (1998a) (also see Wu and Lee, 1998b, Nassar, 2005, 2006.…”

Section: The Characterization Theorems For a Mixture Of Weibull And Pmentioning

confidence: 98%

Characterization of Mixtures of Weibull and Pareto Distributions Based on Conditional Expectation of Order Statistics

Lee¹,

Wu²,

Li³

2013

Communications in Statistics - Theory and Methods

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The mixture of Weibull random variables X 1 and X 2 are identified in terms of relations between the conditional expectation of X 2 2 − X 1 2 r given X 1 2 (or ( X 2 2 k given X 1 2 ∀ k ≤ r and hazard rate function of the distribution, where X 1 2 and X 2 2 denote the corresponding order statistics, r is a positive integer and > 0. In addition, by using the natural logarithm transformation, we also characterize and mixture of Pareto distributions based on the conditional expectation of order statistics. Furthermore, when the sample size is n, the above results are also valid, and we also give an application to Multi-Hit models of carcinogenesis (Parallel Systems). Finally, we also characterize mixture of Weibull and Pareto distributions based on the conditional expectation of upper record values.

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Section: The Characterization Theorems For a Mixture Of Weibull And Pmentioning

confidence: 98%

Characterization of Mixtures of Weibull and Pareto Distributions Based on Conditional Expectation of Order Statistics

Lee¹,

Wu²,

Li³

2013

Communications in Statistics - Theory and Methods

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On the Characterization of a Mixture of Generalized Power Function Distributions by Conditional Expectation of Order Statistics

Nassar

2006

Communications in Statistics - Theory and Methods

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Characterization of discrete mixtures of exponential distribution based on conditional expectation of order statistics

Cited by 2 publications

References 13 publications

Characterization of Mixtures of Weibull and Pareto Distributions Based on Conditional Expectation of Order Statistics

Characterization of Mixtures of Weibull and Pareto Distributions Based on Conditional Expectation of Order Statistics

On the Characterization of a Mixture of Generalized Power Function Distributions by Conditional Expectation of Order Statistics

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