On characterizations of continuous distributions in terms of moments of order statistics when the sample size is random (Q1288935)
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scientific article; zbMATH DE number 1289183
| Language | Label | Description | Also known as |
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| English | On characterizations of continuous distributions in terms of moments of order statistics when the sample size is random |
scientific article; zbMATH DE number 1289183 |
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On characterizations of continuous distributions in terms of moments of order statistics when the sample size is random (English)
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25 October 1999
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Consider a random sample of a random size \(N\) from a population with a continuous distribution function \(F\). The authors characterize \(F\) in terms of the moments of the conditional distribution of \(k\)th order statistic, given that \(N\geq k\). Particular characterizations are given for the uniform, exponential, Pareto, logistic and the Weibull distributions.
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uniform, exponential, Pareto, logistic and the Weibull distributions
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