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
Value
dt2 gives the density, pt2 gives the distribution function, qt2 gives the quantile function, and rt2 generates random deviates.
Details
This implementation of dt2 allows for automatic differentiation with RTMB.
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)