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Beta:: (8 methods):
distribution()
inverse()
calculateInverse()
incompleteBeta()
logBeta()
betaFraction()
betaValue()
regularizedIncompleteBeta()
distribution($value, $alpha, $beta, $rMin = 0.0, $rMax = 1.0) X-Ref |
BETADIST. Returns the beta distribution. param: mixed $value Float value at which you want to evaluate the distribution param: mixed $alpha Parameter to the distribution as a float param: mixed $beta Parameter to the distribution as a float param: mixed $rMin as an float param: mixed $rMax as an float return: array|float|string |
inverse($probability, $alpha, $beta, $rMin = 0.0, $rMax = 1.0) X-Ref |
BETAINV. Returns the inverse of the Beta distribution. param: mixed $probability Float probability at which you want to evaluate the distribution param: mixed $alpha Parameter to the distribution as a float param: mixed $beta Parameter to the distribution as a float param: mixed $rMin Minimum value as a float param: mixed $rMax Maximum value as a float return: array|float|string |
calculateInverse(float $probability, float $alpha, float $beta, float $rMin, float $rMax) X-Ref |
return: float|string |
incompleteBeta(float $x, float $p, float $q) X-Ref |
Incomplete beta function. param: float $x require 0<=x<=1 param: float $p require p>0 param: float $q require q>0 author: Jaco van Kooten author: Paul Meagher return: float 0 if x<0, p<=0, q<=0 or p+q>2.55E305 and 1 if x>1 to avoid errors and over/underflow |
logBeta(float $p, float $q) X-Ref |
The natural logarithm of the beta function. param: float $p require p>0 param: float $q require q>0 author: Jaco van Kooten return: float 0 if p<=0, q<=0 or p+q>2.55E305 to avoid errors and over/underflow |
betaFraction(float $x, float $p, float $q) X-Ref |
Evaluates of continued fraction part of incomplete beta function. Based on an idea from Numerical Recipes (W.H. Press et al, 1992). author: Jaco van Kooten |
betaValue(float $a, float $b) X-Ref |
No description |
regularizedIncompleteBeta(float $value, float $a, float $b) X-Ref |
No description |