Calculates the complement of the chi-squared distribution.
double
scalar value at which is to be evaluated. double
specifying the number of degrees of freedom. This must be at least 0.5. A double
specifying the probability that a chi-squared random variable takes a value greater than chsq.
Method ComplementaryChi
evaluates the distribution function, , of a chi-squared random variable with df
degrees of freedom, that is, with , and ,
where is the gamma function. The value of the distribution function at the point x is the probability that the random variable takes a value greater than x.
For , ComplementaryChi
uses the Wilson-Hilferty approximation (Abramowitz and Stegun 1964, equation 26.4.17) to the one minus the normal distribution, and method Normal
is used to evaluate the normal distribution function.
For , ComplementaryChi
uses series expansions to evaluate the distribution function. If , ComplementaryChi
uses the series 6.5.29 in Abramowitz and Stegun (1964), otherwise, it uses the asymptotic expansion 6.5.32 in Abramowitz and Stegun.
This function provides higher right tail accuracy for the Chi-squared distribution.
Cdf Class | Imsl.Stat Namespace