Inferences for the exponentiated Weibull distribution based on record statistics (Q2891129)
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scientific article; zbMATH DE number 6045953
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inferences for the exponentiated Weibull distribution based on record statistics |
scientific article; zbMATH DE number 6045953 |
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13 June 2012
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exponentiated Weibull distributions
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record statistics
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Inferences for the exponentiated Weibull distribution based on record statistics (English)
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This paper deals with so-called exponentiated Weibull family, an extension of the Weibull distribution by adding an additional shape parameter. Its cumulative distribution function is NEWLINE\[NEWLINEF(x,\gamma,\beta)=(1-\exp[-x^\gamma])^\beta, \quad x>0,\beta,\gamma>0.NEWLINE\]NEWLINE Here, \(\beta\) is the shape parameter.NEWLINENEWLINE The aim of this note is to derive exact expression for single and mixed record statistics. Also, the \(\alpha\)-th moment of the \(k\)-th record statistics are obtained.
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