Generalized exponential–power series distributions

Exponentiated Extended Weibull-Power Series Class of Distributions

“…(10) which is the pdf of generalized exponential-power series (GEPS) class of distributions introduced by Mahmoudi and Jafari (2012).…”

“…the EEWPS distribution with H(x, Θ) = x and C(λ) = λ(1 − λ) −1 . This distribution is considered by Mahmoudi and Jafari (2012).…”

“…We call it exponentiated extended Weibull-power series (EEWPS) class of distributions. In similar way, some distributions are proposed in literature: the exponential-power series (EP) distribution by Chahkandi and Ganjali (2009), Weibull-power series (WPS) distributions by Morais and Barreto-Souza (2011), generalized exponential-power series (GEP) distribution by Mahmoudi and Jafari (2012), complementary exponential power series by Flores et al (2013), extended Weibull-power series (EWPS) distribution by , double bounded Kumaraswamypower series by Bidram and Nekoukhou (2013), Burrpower series by , generalized linear failure rate-power series (GLFRP) distribution by Alamatsaz and Shams (2014), Birnbaum-Saunderspower series distribution by Bourguignon et al (2014), linear failure rate-power series by Mahmoudi and Jafari (2014), and complementary extended Weibull-power series by Cordeiro and Silva (2014). Similar procedures are used by Roman et al (2012), Lu andShi (2011), Nadarajah et al (2015) and Louzada et al (2014).…”

Generalizedextended Weibull Power Series Family of Distributions

“…The proposed family contains all types of combinations between truncated discrete with generalized and nongeneralized Weibull distributions. Some existing power series and subclasses of mixed lifetime distributions become special cases of the proposed family, such as the compound class of extended Weibull power seriesdistributions proposed by Silva et al (2013) and the generalized exponential power series distributionsintroduced by Mahmoudi and Jafari (2012).Some mathematical properties of the new class are studied, includingthe cumulative distribution function, density function, survival function, and hazard rate function. The method of maximum likelihood is used for obtaining a general setup for estimating the parameters of any distribution in this class.…”

Poisson-odd generalized exponential family of distributions: Theory and Applications

“…In another approach, a new family of probability models with more flexibility is generated by combining the continuous and discrete probability distributions such as, the exponential geometric (EG) distribution introduced by [3], [16] proposed the exponential Poisson (EP), exponentiated exponential Poisson (EEP) by [33], complementary exponentiated exponential geometric (CEEG) by [19], exponentiated exponential binomial(GEB) by [7], generalize exponential power series (GEPS) by [21], binomial exponential-2 (BE2) by [6], Poisson exponential (PE) by [10], generalized Gompertz-power series (GGPS) by [40], LindleyPoisson (LP) by [13], bivariate Weibull-power series by [30] and Linear failure rate-power series (LFRPS) by [22]. Others that follow the same approach include the Weibull power series(WPS), extended Weibull power series (EWPS), exponentiated Weibull-logarithmic (EWL), exponentiated Weibull Poisson (EWP), exponentiated Weibull geometric (EWG) and exponentiated Weibull power series (EWPS) distributions proposed and studied by [27,37,24,23,25] and [26] respectively.…”