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El-Arishy, S. (1993). Characterizations of Weibull, Rayleigh and Maxwell Distributions Using Truncated Moments and Order Statistics. The Egyptian Statistical Journal, 37(2), 198-212. doi: 10.21608/esju.1993.314840
Samia M. El-Arishy. "Characterizations of Weibull, Rayleigh and Maxwell Distributions Using Truncated Moments and Order Statistics". The Egyptian Statistical Journal, 37, 2, 1993, 198-212. doi: 10.21608/esju.1993.314840
El-Arishy, S. (1993). 'Characterizations of Weibull, Rayleigh and Maxwell Distributions Using Truncated Moments and Order Statistics', The Egyptian Statistical Journal, 37(2), pp. 198-212. doi: 10.21608/esju.1993.314840
El-Arishy, S. Characterizations of Weibull, Rayleigh and Maxwell Distributions Using Truncated Moments and Order Statistics. The Egyptian Statistical Journal, 1993; 37(2): 198-212. doi: 10.21608/esju.1993.314840

Characterizations of Weibull, Rayleigh and Maxwell Distributions Using Truncated Moments and Order Statistics

Article 3, Volume 37, Issue 2, December 1993, Page 198-212  XML
Document Type: Original Article
DOI: 10.21608/esju.1993.314840
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Author
Samia M. El-Arishy
Abstract
We obtain necessary and sufficient conditions for a life distribution to follow a mixture of two Weibulls as well as Maxwell distributions. Our results extend particular results of Khan et. al. (1983) regarding Weibull distributions and the result of Nassar and Mahmoud (1985) regarding mixture of two exponentials. A characterization of a mixture of two Rayleigh distributions follows as a special case.
Keywords
Characterization; Conditional Expectation; Mixture of Two Distributions; Weibull Distribution; Rayleigh Distribution; Maxwell Distribution
Statistics
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