t2: Student t distribution with location and scale

In RTMBdist: Distributions Compatible with Automatic Differentiation by 'RTMB'

Student t distribution with location and scale

Description

Density, distribution function, quantile function, and random generation for the t distribution with location and scale parameters.

Usage

dt2(x, mu, sigma, df, log = FALSE)

pt2(q, mu, sigma, df)

rt2(n, mu, sigma, df)

qt2(p, mu, sigma, df)

pt(q, df)

Arguments

x, q	vector of quantiles
mu	location parameter
sigma	scale parameter, must be positive.
df	degrees of freedom, must be positive.
log	logical; if TRUE, probabilities/ densities p are returned as \log(p).
n	number of random values to return.
p	vector of probabilities

Details

This implementation of dt2 allows for automatic differentiation with RTMB.

Value

dt2 gives the density, pt2 gives the distribution function, qt2 gives the quantile function, and rt2 generates random deviates.

Examples

x <- rt2(1, 1, 2, 5)
d <- dt2(x, 1, 2, 5)
p <- pt2(x, 1, 2, 5)
q <- qt2(p, 1, 2, 5)

RTMBdist documentation built on April 1, 2026, 5:07 p.m.