caa a22 4500 378920804 CHVBK 20180305123604.0 cr unu---uuuuu 161128e20041201xx s 000 0 eng 10.1515/1569397042722337 doi (NATIONALLICENCE)gruyter-10.1515/1569397042722337 On the skew uniform distribution [Elektronische Daten] [Saralees Nadarajah, Gokarna Aryal] A random variable X is said to have the skew-uniform distribution if its pdf is ƒ(x) = 2g(x)G(λx), where g(·) and G(·), respectively, denote the pdf and the cdf of the Uniform (−θ, θ) distribution. This distribution - in spite of its simplicity - appears not to have been studied in detail. The only work that appears to give some details of this distribution is Gupta et al. [Random Operators and Stochastic Equations, 10, 2002, 133-140], where expressions for the pdf, moment generating function, expectation, variance, skewness and the kurtosis of X are given. Unfortunately, all of these expressions appear to contain some errors. In this paper, we provide a comprehensive description of the mathematical properties of X. The properties derived include the kth moment, the kth central moment, variance, skewness, kurtosis, moment generating function, characteristic function, hazard rate function, mean deviation about the mean, mean deviation about the median, Rényi entropy, Shannon entropy and the asymptotic distribution of the extreme order statistics. We also consider estimation and simulation issues. Copyright 2003, Walter de Gruyter Nadarajah Saralees Department of Mathematics, University of South Florida, Tampa, Florida 33620, USA aut Aryal Gokarna Department of Mathematics, University of South Florida, Tampa, Florida 33620, USA aut Random Operators and Stochastic Equations Walter de Gruyter 12/4(2004-12-01), 319-330 0926-6364 12:4<319 2004 12 rose https://doi.org/10.1515/1569397042722337 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/1569397042722337 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nadarajah Saralees Department of Mathematics, University of South Florida, Tampa, Florida 33620, USA aut NATIONALLICENCE 700 1- Aryal Gokarna Department of Mathematics, University of South Florida, Tampa, Florida 33620, USA aut NATIONALLICENCE 773 0- Random Operators and Stochastic Equations Walter de Gruyter 12/4(2004-12-01), 319-330 0926-6364 12:4<319 2004 12 rose CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter