# sev: The Smallest Extreme Value Distribution In teachingApps: Apps for Teaching Statistics, R Programming, and Shiny App Development

## Description

Density, distribution function, quantile function and random generation for the SEV distribution with location loc and scale scale.

## Usage

 1 2 3 4 5 6 7 8 9 qsev(p, loc = 0, scale = 1) psev(q, loc = 0, scale = 1) dsev(x, loc = 0, scale = 1) rsev(n, loc = 0, scale = 1) ssev(x, loc = 0, scale = 1) 

## Arguments

 p Vector of probabilities loc Location parameter scale Scale parameter q Vector of quantiles x Vector of quantiles n Number of observations

## Details

If loc is not specified, a default value of 0 is used. If scale is not specified, a default value of 1 is used.

The smallest extreme value distribution with location parameter μ and scale σ has density

f(x;μ,σ) = \frac{1}{σ}φ_{_{SEV}}≤ft(\frac{x-μ}{σ}\right),\quad -∞ < x < ∞

where φ_{_{SEV}}(z) exp[z - exp(z)] is the density of the standard LEV distribution.

## Value

dsev gives the density, psev gives the distribution function, qsev gives the quantile function, and rsev generates random observations.

The length of the result is determined by n for rsev, and is the maximum of the lengths of the numerical arguments for the other functions.

The numerical arguments other than n are recycled to the length of the result.

teachingApps documentation built on July 1, 2020, 5:58 p.m.