Characterizations of Weibull, Rayleigh and Maxwell Distributions Using Truncated Moments and Order Statistics | ||||
| The Egyptian Statistical Journal | ||||
| Article 3, Volume 37, Issue 2, December 1993, Page 198-212 | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.1993.314840 | ||||
 View on SCiNiTO | ||||
| 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 | ||||
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Statistics Article View: 21 |
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