pdf_cauchy SciMax Toolbox pdf_continuous_uniform

SciMax Toolbox >> pdf_chi2

pdf_chi2

Maxima Function

Calling Sequence

pdf_chi2 (x,n)

Description

Returns the value at x of the density function of a Chi-square random variable Chi^2(n), with n>0.

The Chi^2(n) random variable is equivalent to the Gamma(n/2,2), therefore when Maxima has not enough information to get the result, a noun form based on the gamma density is returned.

(%i1) load (distrib)$
(%i2) pdf_chi2(x,n);
                                    n
(%o2)                  pdf_gamma(x, -, 2)
                                    2
(%i3) assume(x>0, n>0)$  pdf_chi2(x,n);
                         n/2 - 1   - x/2
                        x        %e
(%o4)                   ----------------
                          n/2       n
                         2    gamma(-)
                                    2
pdf_cauchy SciMax Toolbox pdf_continuous_uniform