TITLE(NChisquare @@ The Non-Central Chi-Square Distribution)
USAGE(
dnchisq(x, df)
pnchisq(x, df)
qnchisq(x, df)
rnchisq(x, df)
)
ALIAS(dnchisq)
ALIAS(pnchisq)
ALIAS(qnchisq)
ALIAS(rnchisq)
DESCRIPTION(
These functions provide information about the non-central
chi-square distribution with LANG(df) degrees of freedom.
LANG(dnchisq) gives the density, LANG(pnchisq) gives the
distribution function LANG(qnchisq) gives the quantile
function and LANG(rnchisq) generates random deviates.
PARA
The non-central chi-square distribution with EQN(n)
degrees-of-freedom has density
DEQN(f(x) =
OVER(1 @@ SUP(2@@n/2) greekGamma (n/2))
SUP(x@@n/2-1) SUP(e@@-x/2)
@@f(x) = 1 / (2^(n/2) Gamma(n/2))  x^(n/2-1) e^-x/2)
for EQN(x GE 0).
)
