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GammaRelatedBetaIR(Double, Double, Double, Boolean) Method

BetaIR(x,a,b) calculates the double precision incomplete beta function ratio. B_x(a,b) Integral(0,x) t**(a-1) (1-t)**(b-1) dt I_x(a,b) = --------- = --------------------------------------- B(a,b) B(a,b)

Namespace: Altaxo.Calc
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3572.0 (4.8.3572.0)
Syntax
C#
Copy
public static double BetaIR(
	double x,
	double a,
	double b,
	bool bDebug
)

Parameters

x  Double
upper limit of integration. x must be in (0,1) inclusive.
a  Double
first beta distribution parameter. a must be > 0.
b  Double
second beta distribution parameter. b must be > 0.
bDebug  Boolean
If true, an exception is thrown if serious errors occur. If false, NaN is returned on errors.

Return Value

Double
The incomplete beta function ratio.
Remarks
The incomplete beta function ratio is the probability that a random variable from a beta distribution having parameters a and b will be less than or equal to x. This is a translation from the Fortran version of DBETAI(X,PIN,QIN), SLATEC, FNLIB, CATEGORY C7F, REVISION 920528, originally written by Fullerton W. (LANL) to C++. References: Nancy E. Bosten and E. L. Battiste, Remark on Algorithm 179, Communications of the ACM 17, 3 (March 1974), pp. 156. Calls LnBeta(a,b)
See Also