law0014.AverageUnif: The Average Uniform Distribution

In PoweR: Computation of Power and Level Tables for Hypothesis Tests

Description

Random generation for the Average Uniform distribution with parameters size, a and b.

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

Details

If size, a and b are not specified they assume the default values of 2, 0 and 1.

The Average Uniform distribution has density:

f(x) = k^k/(k-1)! ∑_{j=0}^{\lfloor k (x-a)/(b-a) \rfloor} (-1)^j choose(k,j) ((x-a)/(b-a) - j/k)^(k-1)

where size = k and for a ≤ x ≤ b.

Author(s)

P. Lafaye de Micheaux, V. A. Tran

References

Pierre Lafaye de Micheaux, Viet Anh Tran (2016). PoweR: A Reproducible Research Tool to Ease Monte Carlo Power Simulation Studies for 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. 179)

See Also

law0007.Uniform for the Uniform distribution.

Distributions for other standard distributions.

Examples

res <- gensample(14,10000,law.pars=c(9,2,3))
res$law
res$law.pars
mean(res$sample)
sd(res$sample)

PoweR documentation built on May 2, 2019, 2:09 p.m.