tlscdf
"upper")Location-scale Student’s T cumulative distribution function (CDF).
For each element of x, compute the cumulative distribution function (CDF) of the location-scale Student’s T distribution with location parameter mu, scale parameter sigma, and nu degrees of freedom. The size of p is the common size of x, mu, sigma, and nu. A scalar input functions as a constant matrix of the same size as the other inputs.
p = tlscdf (x, mu, sigma, nu, "upper")
computes the upper tail probability of the location-scale Student’s T
distribution with parameters mu, sigma, and nu, at the
values in x.
Further information about the location-scale Student’s T distribution can be found at https://en.wikipedia.org/wiki/Student%27s_t-distribution#Location-scale_t_distribution
See also: tlsinv, tlspdf, tlsrnd, tlsfit, tlslike, tlsstat
Source Code: tlscdf
## Plot various CDFs from the location-scale Student's T distribution
x = -8:0.01:8;
p1 = tlscdf (x, 0, 1, 1);
p2 = tlscdf (x, 0, 2, 2);
p3 = tlscdf (x, 3, 2, 5);
p4 = tlscdf (x, -1, 3, Inf);
plot (x, p1, "-b", x, p2, "-g", x, p3, "-r", x, p4, "-m")
grid on
xlim ([-8, 8])
ylim ([0, 1])
legend ({"mu = 0, sigma = 1, nu = 1", "mu = 0, sigma = 2, nu = 2", ...
"mu = 3, sigma = 2, nu = 5", 'mu = -1, sigma = 3, nu = \infty'}, ...
"location", "northwest")
title ("Location-scale Student's T CDF")
xlabel ("values in x")
ylabel ("probability")
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