std function

Student Distribution

Density, distribution, quantile function and random number generation for the student distribution parameterized in terms of mean, standard deviation and shape parameters.

dstd(x, mu = 0, sigma = 1, shape = 5, log = FALSE)

pstd(q, mu = 0, sigma = 1, shape = 5, lower_tail = TRUE, log = FALSE)

qstd(p, mu = 0, sigma = 1, shape = 5, lower_tail = TRUE, log = FALSE)

rstd(n, mu = 0, sigma = 1, shape = 5)

Arguments

• x, q: vector of quantiles.
• mu: mean.
• sigma: standard deviation.
• shape: shape parameter.
• log: (logical) if TRUE, probabilities p are given as log(p).
• lower_tail: if TRUE (default), probabilities are $P[X \le x]$ otherwise, $P[X > x]$.
• p: vector of probabilities.
• n: number of observations.

Returns

d gives the density, p gives the distribution function, q gives the quantile function and r generates random deviates. Output depends on x or q length, or n for the random number generator.