PoweR (version 1.0.7)

law0013.PowerUnif: The Power Uniform Distribution

Description

Random generation for the Power Uniform distribution with parameter power.

This generator is called by function gensample to create random variables based on its parameter.

Details

If power is not specified it assumes the default value of 1.

The Power Uniform distribution has density: $$ \frac{1}{1+j}x^{-\frac{j}{j+1}} $$ where power = j.

References

Pierre Lafaye de Micheaux, Viet Anh Tran (2016). PoweR: A Reproducible Research Tool to Ease Monte Carlo Power Simulation Studies for Goodness-of-fit Tests in R. Journal of Statistical Software, 69(3), 1--42. doi:10.18637/jss.v069.i03

Quesenberry and Miller (1977), Power studies of some tests for uniformity, Journal of Statistical Computation and Simulation, 5(3), 169--191 (see p. 178)

See Also

See law0007.Uniform for the Uniform distribution. See Distributions for other standard distributions.

Examples

# NOT RUN {
res <- gensample(13,10000,law.pars=8)
res$law
res$law.pars
mean(res$sample)
sd(res$sample)
# }