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functions in gammp.i - g
gammp
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gammp(a, x)
or gammp(a, x, q, lg)
return P(a,x) = int[0 to x]{ du * u^(a-1)*exp(-u) } / gamma(a)
optionally return Q(a,x) = 1-P(a,x) and ln(gamma(a))
Note that erf(x)=gammp(0.5,x^2) and erfc(x)=gammq(0.5,x^2)
Also P(chi2|nu)=gammp(0.5*nu,0.5*chi2)
and Q(chi2|nu)=gammq(0.5*nu,0.5*chi2)
are the probabilities that an observed chi-square be less than
or greater than (P or Q) chi2 when there are nu degrees of freedom
(terms in the chi-square sum).
interpreted function, defined at i/gammp.i line 14
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SEE ALSO:
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gammq,
betai,
ln_gamma
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gammq
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gammq(a, x)
or gammq(a, x, p, lg)
return Q(a,x) = 1 - int[0 to x]{ du * u^(a-1)*exp(-u) } / gamma(a)
optionally return P(a,x) = 1-Q(a,x) and ln(gamma(a))
Note that erf(x)=gammp(0.5,x^2) and erfc(x)=gammq(0.5,x^2)
Also P(chi2|nu)=gammp(0.5*nu,0.5*chi2)
and Q(chi2|nu)=gammq(0.5*nu,0.5*chi2)
are the probabilities that an observed chi-square be less than
or greater than (P or Q) chi2 when there are nu degrees of freedom
(terms in the chi-square sum).
interpreted function, defined at i/gammp.i line 50
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SEE ALSO:
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gammp,
betai,
ln_gamma
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