LocationScaleT: Location-scale version of the t-distribution In extraDistr: Additional Univariate and Multivariate Distributions

Description

Probability mass function, distribution function and random generation for location-scale version of the t-distribution. Location-scale version of the t-distribution besides degrees of freedom ν, is parametrized using additional parameters μ for location and σ for scale (μ = 0 and σ = 1 for standard t-distribution).

Usage

 ```1 2 3 4 5 6 7``` ```dlst(x, df, mu = 0, sigma = 1, log = FALSE) plst(q, df, mu = 0, sigma = 1, lower.tail = TRUE, log.p = FALSE) qlst(p, df, mu = 0, sigma = 1, lower.tail = TRUE, log.p = FALSE) rlst(n, df, mu = 0, sigma = 1) ```

Arguments

 `x, q` vector of quantiles. `df` degrees of freedom (> 0, maybe non-integer). `df = Inf` is allowed. `mu` vector of locations `sigma` vector of positive valued scale parameters. `log, log.p` logical; if TRUE, probabilities p are given as log(p). `lower.tail` logical; if TRUE (default), probabilities are P[X ≤ x] otherwise, P[X > x]. `p` vector of probabilities. `n` number of observations. If `length(n) > 1`, the length is taken to be the number required.

`TDist`
 ```1 2 3 4 5 6``` ```x <- rlst(1e5, 1000, 5, 13) hist(x, 100, freq = FALSE) curve(dlst(x, 1000, 5, 13), -60, 60, col = "red", add = TRUE) hist(plst(x, 1000, 5, 13)) plot(ecdf(x)) curve(plst(x, 1000, 5, 13), -60, 60, col = "red", lwd = 2, add = TRUE) ```