Author(s):
1. Faton Merovci:
Faculty of Mechanical and Computer Engineering, University of Mitrovica ”Isa Boletini”, Kosovo
2. Haitham M. Yousof:
Department of Statistics, Mathematics and Insurance, Benha University, Egypt
3. G.G. Hamedani:
Department of Mathematics, Statistics and Computer Science, Marquette University, USA
Abstract:
We study a new family of distributions defined by the minimum of the Poisson random number of independent identically distributed random variables having a Topp Leone - G distribution (see Rezaei et al., (2016)). Some mathematical properties of the new family including ordinary and incomplete moments, quantile and generating functions, mean deviations, order statistics, reliability and entropies are derived. Maximum likelihood estimation of the model parameters is investigated. Some special models of the new family are discussed. An application is carried out on real data set applications sets to show the potentiality of the proposed family.
Page(s):
343-355
Published:
Journal: Pakistan Journal of Statistics and Operation Research, Volume: 16, Issue: 2, Year: 2020
Keywords:
Order Statistics
,
Generating Function
,
Quantile function
,
Topp LeoneG Family
,
Moments
,
Maximum Likelihood Estimation
References:
References are not available for this document.
Citations
Citations are not available for this document.