Difference between revisions of "BetaI"

Latest revision as of 21:16, 24 May 2016

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]

Use File → Add Library... to add this library

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-[[category:Analytic Distribution Functions]]
+[[Category: Analytic Distribution Functions]]
-[[Category:Doc Status D]] <!-- For Lumina use, do not change -->
+[[Category: Distribution Densities library functions]]
+[[Category: Doc Status C]] <!-- For Lumina use, do not change -->
-{{stub}}
+== 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>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]]  ([[media:Distribution Densities.ana|Distribution Densities.ana]])
+:Use [[File menu|File]] &rarr; '''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]]
+* [[media:Distribution Densities.ana|Distribution Densities.ana]]