Some beta distributions (Q2507558)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some beta distributions |
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Some beta distributions (English)
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4 October 2006
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If \(X\) and \(Y\) are independent gamma random variables then the ratio follows a beta distribution. The authors provide a similar result for compound gamma variables and for the ratio \(X^c / (X^c + Y^c), c > 0\). They introduce a hypergeometric beta distribution and a trigonometric beta distribution. The resulting density functions are amply illustrated.
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beta distributions
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Hazard rate function
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moments
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