eng
Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2328-7292
2015-08-13
3
4
164
167
10.12691/ajams-3-4-6
AJAMS2015346
article
Some Properties of Skew Uniform Distribution
Salah H Abid
abidsalah@gmail.com
1
Mathematics Department, Education College, Al-Mustansirya University, Baghdad, Iraq
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.
http://pubs.sciepub.com/ajams/3/4/6/ajams-3-4-6.pdf
Skew Uniform distribution
the r th moment
characteristic function
hazard rate function
Entropy