# LocationScaleT

##### Location-scale version of the t-distribution

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 \(\nu\), is parametrized using additional parameters \(\mu\) for location and \(\sigma\) for scale (\(\mu = 0\) and \(\sigma = 1\) for standard t-distribution).

- Keywords
- distribution

##### Usage

`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 \(P[X \le x]\) 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.

##### See Also

##### Examples

```
# NOT RUN {
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)
# }
```

*Documentation reproduced from package extraDistr, version 1.8.10, License: GPL-2*