Difference between revisions of "BetaI"
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| − | [[ | + | [[Category: Analytic Distribution Functions]] |
| − | [[Category:Doc Status C]] <!-- For Lumina use, do not change --> | + | [[Category: Distribution Densities library functions]] |
| + | [[Category: Doc Status C]] <!-- For Lumina use, do not change --> | ||
== BetaI(x, a'', b'') == | == BetaI(x, a'', b'') == | ||
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== Library == | == Library == | ||
| − | Advanced Math | + | Advanced Math, [[Distribution Densities Library]] ([[media:Distribution Densities.ana|Distribution Densities.ana]]) |
| + | :Use [[File menu|File]] → '''Add Library...''' to add this library | ||
== See Also == | == See Also == | ||
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* [[BetaIaInv]] : The inverse of the beta function with respect to parameter «a» | * [[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 | ||
| + | * [[Distribution Densities Library]] | ||
| + | * [[media:Distribution Densities.ana|Distribution Densities.ana]] | ||
Latest revision as of 21:16, 24 May 2016
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]
Library
Advanced Math, Distribution Densities Library (Distribution Densities.ana)
- Use File → Add Library... to add this library
See Also
- Beta : The beta distribution
- BetaFn : The complete 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
- Distribution Densities Library
- Distribution Densities.ana
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