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.TH cdft 1 "Dec 1997" "Scilab Group" "Scilab Function"
.so ../sci.an
.SH NAME
cdft - cumulative distribution function Student's T distribution
.SH CALLING SEQUENCE
.nf
[P,Q]=cdft("PQ",T,Df)
[T]=cdft("T",Df,P,Q)
[Df]=cdft("Df",P,Q,T)
.fi
.SH PARAMETERS
.TP 10
P,Q,T,Df
: six real vectors of the same size.
.TP
P,Q (Q=1-P)
: The integral from -infinity to t of the t-density. Input range: (0,1].
.TP
T
: Upper limit of integration of the t-density.
Input range: ( -infinity, +infinity).
Search range: [ -1E150, 1E150 ]
.TP
DF:
Degrees of freedom of the t-distribution.
Input range: (0 , +infinity).
Search range: [1e-300, 1E10]
.SH DESCRIPTION
Calculates any one parameter of the T distribution given
values for the others.
.LP
Formula 26.5.27 of Abramowitz and Stegun, Handbook of
Mathematical Functions (1966) is used to reduce the computation
of the cumulative distribution function to that of an incomplete
beta.
.LP
Computation of other parameters involve a seach for a value that
produces the desired value of P. The search relies on the
monotinicity of P with the other parameter.
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