@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 <i>X</i> to have the skew uniform distribution such that <i>f</i><SUB><i>x</i></SUB>(<i>x</i>)<i>=2g</i>(<i>x</i>)<i>G</i>(&#952;<i>x</i>), where <i>g</i>(.) and  <i>G</i>(.) denote the probability density function (<i>pdf</i>) and the cumulative distribution function (<i>cdf</i>) of the uniform  distribution respectively. In this paper, we construct a new skewed distribution with <i>pdf</i> of the form <i>2</i><i>f</i>(<i>x</i>)<i>G</i>(&#952;<i>x</i>), where &#952; is a real number, <i>f</i>(.) is taken to be uniform (-a,a) while <i>G</i>(.) comes from uniform (-b,b). We derive some properties of the new skewed distribution, the <i>r th</i> 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}
}