quantile_cauchy SciMax Toolbox quantile_continuous_uniform

SciMax Toolbox >> quantile_chi2

quantile_chi2

Maxima Function

Calling Sequence

quantile_chi2 (q,n)

Description

Returns the q-quantile of a Chi-square random variable Chi^2(n), with n>0; in other words, this is the inverse of cdf_chi2. Argument q must be an element of [0,1].

This function has no closed form and it is numerically computed if the global variable numer equals true, otherwise it returns a nominal expression based on the gamma quantile function, since the Chi^2(n) random variable is equivalent to the Gamma(n/2,2).

(%i1) load (distrib)$
(%i2) quantile_chi2(0.99,9);
(%o2)                   21.66599433346194
(%i3) quantile_chi2(0.99,n);
                                        n
(%o3)              quantile_gamma(0.99, -, 2)
                                        2
quantile_cauchy SciMax Toolbox quantile_continuous_uniform