Difference between revisions of "BetaI"
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* [[BetaFn]] : The complete beta function | * [[BetaFn]] : The complete beta function | ||
* [[BetaIInv]] : The inverse of the beta function | * [[BetaIInv]] : The inverse of the beta function | ||
+ | * [[BetaIaInv]] : The inverse of the beta function with respect to parameter «a» | ||
* [[GammaI]] : the closely related incomplete gamma function | * [[GammaI]] : the closely related incomplete gamma function |
Revision as of 22:12, 8 January 2013
BetaI(x,a,b)
The incomplete beta function.
The incomplete beta function returns the cumulative probability for a Beta(a,b) distribution at x, defined by:
- [math]\displaystyle{ BetaI(x,a,b) = {1\over{BetaFn(a,b)}} \int_0^x x^{a-1} (1-x)^{b-1} dx }[/math]
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