@article{ajams2015346,
author={Abid, Salah H},
title={Some Properties of Skew Uniform Distribution},
journal={American Journal of Applied Mathematics and Statistics},
volume={3},
number={4},
pages={164--167},
year={2015},
url={http://pubs.sciepub.com/ajams/3/4/6},
issn={2328-7292},
abstract={There is one work that appears to give some details of the skew uniform distribution, this work due to Aryal and Nadarajah [Random Operators and stochastic equations, Vol.12, No.4, pp.319-330, 2004]. They defined a random variable *X* to have the skew uniform distribution such that *f*_{x}(*x*)*=2g*(*x*)*G*(θ*x*), where *g*(.) and *G*(.) denote the probability density function (*pdf*) and the cumulative distribution function (*cdf*) of the uniform distribution respectively. In this paper, we construct a new skewed distribution with *pdf* of the form *2**f*(*x*)*G*(θ*x*), where θ is a real number, *f*(.) is taken to be uniform (-a,a) while *G*(.) comes from uniform (-b,b). We derive some properties of the new skewed distribution, the *r th* moment, mean, variance, skewness, kurtosis, moment generating function, characteristic function, hazard rate function, median, R?nyi entropy and Shannon entropy. We also consider the generating issues.},
doi={10.12691/ajams-3-4-6}
publisher={Science and Education Publishing}
}