Characterization results based on a functional derivative approach. (Q2777892)
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scientific article; zbMATH DE number 1718969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterization results based on a functional derivative approach. |
scientific article; zbMATH DE number 1718969 |
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2001
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mean residual life function
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hazard function
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conditional expectation
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characterization properties
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exponential distribution
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functional derivative
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Characterization results based on a functional derivative approach. (English)
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A unified approach based on functional derivatives is given for characterizing probability distributions via conditional expectations. Among the characterization results that have been dealt with here are those that have links with certain results met in [\textit{S. Kotz} and \textit{D. N. Shanbhag}, Adv. Appl. Probab. 12, 903--921 (1980; Zbl 0454.62085)]. Some related results in differential calculus and statistical inference are also discussed.
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