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cdftnc

cumulative distribution function of the non-central Student's T distribution

Syntax

[P, Q] = cdftnc("PQ", T, Df, Pnonc)
T = cdftnc("T", Df, Pnonc, P, Q)
Df = cdftnc("Df", Pnonc, P, Q, T)
Pnonc = cdftnc("Pnonc", P, Q, T, Df)

Arguments

P, Q (Q = 1 - P): real scalar or matrix, the lower-tail probability. Input range: (0,1].
T: real scalar or matrix, quantile value(s) of the non-central t distribution.
Df: real positive scalar or matrix, degrees of freedom of the t-distribution.
Pnonc: real positive scalar or matrix, non-centrality parameter.

Description

The function cdftnc computes the cumulative distribution function (CDF) of the non-central Student's t-distribution with

Degrees of freedom Df
Non-centrality parameters Pnonc
Evaluated at value(s) T

T = cdftnc("T", Df, Pnonc, P, Q) computes the inverse of the non-central cumulative distribution (CDF) of the non-central Student's t-distribution.

P, Q, T, Df and Pnonc must have the same size.

Examples

T = 5;
Df = 2;
Pnonc = 1;
// Expected : P = 0.9301738 and Q = 1-P
[P, Q] = cdftnc("PQ", T, Df, Pnonc)

T = [-2 -1 1 2];
Df = 10*ones(T);
pn = 2*ones(T);
[P, Q] = cdftnc("PQ", T, Df, pn)

See also

cdft — cumulative distribution function Student's T distribution

History

Version	Description
2026.0.0	Function added.

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