# pietra.exp.test: Test for exponentiality based on the Pietra statistic In exptest: Tests for Exponentiality

## Description

Performs test for the composite hypothesis of exponentiality based on the Pietra statistic, see e.g. Ascher (1990).

## Usage

 1 pietra.exp.test(x, nrepl=2000) 

## Arguments

 x a numeric vector of data values.
 nrepl the number of replications in Monte Carlo simulation.

## Details

The test is based on the Pietra statistic

P_n =∑_{i=1}^n\frac{|X_i-\overline{X}|}{2n\overline{X}}.

The p-value is computed by Monte Carlo simulation.

## Value

A list with class "htest" containing the following components:

 statistic the value of the Pietra statistic. p.value  the p-value for the test. method the character string "Test for exponentiality based on the Pietra statistic". data.name a character string giving the name(s) of the data.

## Author(s)

Ruslan Pusev and Maxim Yakovlev

## References

Ascher, S. (1990): A survey of tests for exponentiality. — Communications in Statistics – Theory and Methods, vol. 19, pp. 1811–1825.

## Examples

 1 2 pietra.exp.test(rexp(100)) pietra.exp.test(runif(100, min = 50, max = 100)) 

exptest documentation built on May 1, 2019, 8:01 p.m.