%0 Journal Article
%A Bahrami, Ehsan
%A Yarmoghaddam, Narges
%T A New Lifetime Distribution: The Beta Modified Weibull Power Series Distribution
%J Journal of Statistical Research of Iran
%V 16
%N 1
%U http://jsri.srtc.ac.ir/article-1-323-en.html
%R 10.52547/jsri.16.1.1
%D 2019
%K Lifetime, Beta Modified Weibull distribution, power series distribution, maximum Likelihood estimation, hazard function, Fisher's information matrix,
%X In this paper, we propose a new parametric distribution which called as the Beta Modified Weibull Power Series (BMWPS) distribution. This distribution is obtained by compounding Beta Modified Weibull (BMW) and power series distributions. BMWPS distribution contains, as special sub-models, such as Beta Modified Weibull Poisson (BMWP) distribution, Beta Modified Weibull Geometric (BMWG) distribution, Beta Modified Weibull Logarithmic (BMWL) distribution, among others. We obtain closed-form expressions for the cumulative distribution, density, survival function, failure rate function, the r-th raw moment and the moments of order statistics. A full likelihood-based approach that allows yielding maximum likelihood estimates of the BMWPS arameters is used. Finally, application to the Aarset data are given.
%> http://jsri.srtc.ac.ir/article-1-323-en.pdf
%P 1-31
%& 1
%! A New Lifetime Distribution: The Beta Modified Weibull Power Series Distribution
%9 Research
%L A-10-164-1
%+ Shahid Beheshti Universiti
%G eng
%@ 2538-5771
%[ 2019