On the stability of a characterization by the lack of memory property
An useful and interesting characterization of the Weibull distribution is its lack of memory (of order α) property, i.e., P(X ≥ (xα + yα)1/α|X ≥ y) = P(X ≥ x) for all x, y ≥ 0. The characterization holds even in the case when it is required to fulfil this relation not on the entire semi-axis {y|y...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2003-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/32566 |