Characterizations of the geometric distribution via residual lifetime (Q1706460)
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scientific article; zbMATH DE number 6852090
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizations of the geometric distribution via residual lifetime |
scientific article; zbMATH DE number 6852090 |
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Characterizations of the geometric distribution via residual lifetime (English)
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22 March 2018
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The authors propose some characterizations of the geometric distribution. The first part of the manuscript is devoted to characterizations based on the moments of truncated life of the form \(E((X-t)_+^n)\), where \((X-t)_+\) is a type of residual life defined as \((X-t)_+=\max\{X-t,0\}\). In the second part of the manuscript, characterizations of the geometric renewal process are presented.
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characterization
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exponential distribution
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geometric distribution
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renewal process
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residual lifetime
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