@article{ajmo2016413,
author={{Abid, Salah H and Mohammed, Sajad H},
title={Properties of the Distributions Generated by Mixing Weibull and Inverse Weibull Distributions with Zero Truncated Poisson},
journal={American Journal of Modeling and Optimization},
volume={4},
number={1},
pages={19--28},
year={2016},
url={http://pubs.sciepub.com/ajmo/4/1/3},
issn={2333-1267},
abstract={In reliability analysis, a lot of failure distributions are used to represent lifetime data. Recently, new distributions are derived to extend some of well-known families of distributions, such that the new distributions are more flexible than the others to model real data. In this paper, properties of Weibull-Poisson distribution (WPD) and inverse Weibull-Poisson distribution (IWPD) will be considered. We provide forms for characteristic function, <i>r</i>th raw moment, mean, variance, median, Shannon entropy function, R¨¦nyi entropy function and Relative entropy function. This paper deals also with the determination of R = P[Y &lt; X] when X and Y are two independent WPD (IWPD) distributions with different parameters.},
doi={10.12691/ajmo-4-1-3}
publisher={Science and Education Publishing}
}