Calculates Beta function for two identical parameters, allowing non-integer negative values
By defining the Beta Function in terms of the Gamma Function,
Beta(a,b)=(Gamma(a)*Gamma(b))/Gamma(a+b)
the function can be defined for non-integer negative values of a and b. The special case of this where a=b is needed to calculate the standard errors of the L Moment estimates of the gpd type of the generalised lambda distribution, so this function carries out that calculation.
BetaLambdaLambda(lambda)
lambda |
A vector, each element of which is used for both arguments of the Beta function. |
NaN is returned for any negative integer elements of lambda.
A vector the same length as lambda, containing
Beta(lambda,lambda)
Paul van Staden
BetaLambdaLambda(-0.3)
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