Accurate normalisation of the beta-function PDF (Q1902673)
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scientific article; zbMATH DE number 819449
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Accurate normalisation of the beta-function PDF |
scientific article; zbMATH DE number 819449 |
Statements
Accurate normalisation of the beta-function PDF (English)
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22 November 1995
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The probability density function based on the beta-function is accurately normalized. To compute the beta-function: \[ B_\infty=\int^1_0 x^{\beta_1-1}(1-x)^{\beta_2-1}dx \] for positive small parameters, \(\beta_1\), \(\beta_2\), in this paper, an approximation \(B_\infty={\beta_1+\beta_2\over \beta_1\beta_2}\) is proposed.
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recurrence formulas
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gamma functions
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probability density function
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beta-function
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0.7413249015808105
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0.7090789675712585
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