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distfun_tcdf

T CDF

Calling Sequence

p = distfun_tcdf ( x , v )
p = distfun_tcdf ( x , v , lowertail )

Parameters

x :

a matrix of doubles, the outcome.

v :

a matrix of doubles, the number of degrees of freedom, v>0.

lowertail :

a 1-by-1 matrix of booleans, the tail (default lowertail=%t). If lowertail is true (the default), then considers P(X<=x) otherwise P(X>x).

p :

a matrix of doubles, the probability.

Description

Computes the T cumulated distribution function.

Any scalar input argument is expanded to a matrix of doubles of the same size as the other input arguments.

Examples

p = distfun_tcdf(1,2) // 0.7886751
// With lower tail
p = distfun_tcdf(1,2,%f) // 0.2113249

// Plot the function
h=scf();
x = linspace(-5,5,1000);
p1 = distfun_tcdf(x,1);
p2 = distfun_tcdf(x,2);
p3 = distfun_tcdf(x,5);
p4 = distfun_tcdf(x,%inf);
plot(x,p1,"r")
plot(x,p2,"g")
plot(x,p3,"b")
plot(x,p4,"k")
legend(["v=1" "v=2" "v=5" "v=Inf"]);
xtitle("T CDF","x","$P(X\leq x)$");

// An extreme case
distfun_tcdf(40,10,%f) // 1.140D-12

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