Compounding of distributions: a survey and new generalized classes

MH Tahir, GM Cordeiro - Journal of Statistical Distributions and …, 2016 - Springer
Generalizing distributions is an old practice and has ever been considered as precious as
many other practical problems in statistics. It simply started with defining different …

Parametric distributions for survival and reliability analyses, a review and historical sketch

N Taketomi, K Yamamoto, C Chesneau, T Emura - Mathematics, 2022 - mdpi.com
During its 330 years of history, parametric distributions have been useful for survival and
reliability analyses. In this paper, we comprehensively review the historical backgrounds …

On some lifetime distributions with decreasing failure rate

M Chahkandi, M Ganjali - Computational Statistics & Data Analysis, 2009 - Elsevier
A new two-parameter distribution family with decreasing failure rate arising by mixing power-
series distribution and exponential distribution is introduced. This family includes some well …

A compound class of Weibull and power series distributions

AL Morais, W Barreto-Souza - Computational Statistics & Data Analysis, 2011 - Elsevier
In this paper we introduce the Weibull power series (WPS) class of distributions which is
obtained by compounding Weibull and power series distributions, where the compounding …

Stochastic geometric coverage analysis in mmWave cellular networks with realistic channel and antenna radiation models

M Rebato, J Park, P Popovski… - IEEE Transactions …, 2019 - ieeexplore.ieee.org
Millimeter-wave (mmWave) bands will play an important role in 5G wireless systems. The
system performance can be assessed by using models from stochastic geometry that cater …

Generalized exponential–power series distributions

E Mahmoudi, AA Jafari - Computational Statistics & Data Analysis, 2012 - Elsevier
In this paper, we introduce the generalized exponential–power series (GEPS) class of
distributions, which is obtained by compounding generalized exponential and power series …

Alpha-power transformed Lindley distribution: properties and associated inference with application to earthquake data

S Dey, I Ghosh, D Kumar - Annals of Data Science, 2019 - Springer
The Lindley distribution has been generalized by many authors in recent years. A new two-
parameter distribution with decreasing failure rate is introduced, called Alpha Power …

The compound class of extended Weibull power series distributions

RB Silva, M Bourguignon, CRB Dias… - Computational Statistics & …, 2013 - Elsevier
We introduce a general method for obtaining more flexible new distributions by
compounding the extended Weibull and power series distributions. The compounding …

A new compounding life distribution: the Weibull–Poisson distribution

W Lu, D Shi - Journal of applied statistics, 2012 - Taylor & Francis
In this paper, a new compounding distribution, named the Weibull–Poisson distribution is
introduced. The shape of failure rate function of the new compounding distribution is flexible …

Transmuted Lindley-geometric distribution and its applications

F Merovci, I Elbatal - arxiv preprint arxiv:1309.3774, 2013 - arxiv.org
A functional composition of the cumulative distribution function of one probability distribution
with the inverse cumulative distribution function of another is called the transmutation map …