Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2328-7292
3
4
2015
08
13
Some Properties of Skew Uniform Distribution
164
167
EN
Salah H
Abid
Mathematics Department, Education College, Al-Mustansirya University, Baghdad, Iraq
AJAMS2015346
10.12691/ajams-3-4-6
2015
06
10
2015
07
03
2015
08
13
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 fx(x)=2g(x)G(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 2f(x)G(x), where 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.