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The properties of Exp-G distributions have been studied by many authors in The new family such as the ordinary and incomplete moments and the generatingįunction can be immediately obtained from well-established properties of the Equation ( 4) reveals that the EGGP density function isĪ linear combination of Exp-G densities. Where Π k + 1 ( x ) is the cdf of the Exp-G family with power parameter ( k + 1 ). It is the conditional probability distribution of a Poisson-distributed random variable, given that the value of the random variable is not zero. Where N has zero truncated Poisson (ZTP) distribution with parameter λ. That a system has N subsystems functioning independently at a given time Using the genesis of Poisson distribution with the following motivation. In this paper we propose and study a generalized family of distribution Zubair, a new Weibull-G by Tahir, Zubair, Mansoor, Cordeiro, Alizadeh and Hamedaniįamily by Cordeiro, Alizadeh, Ozel, Hosseini, Ortega and Altun, the beta odd log-logistic generalizedįamily of distributions by Cordeiro, Alizadeh, Tahir, Mansoor,īourguignon and Hamedani, beta transmuted-H by Afify, Yousof and Nadarajah, generalized transmuted-Gīy Nofal, Afify, Yousof and Cordeiro and beta Weibull-G family by Yousof, Rasekhi, Afify, Ghosh, Alizadeh and Hamedani among others. Zografos–Balakrishnan odd log-logistic family of distributions by Cordeiro, Alizadeh, Ortega and Serrano, logistic-X by Tahir, Cordeiro, Alzaatreh, Mansoor and Generalized transmuted Poisson family by Alizadeh, Yousof, Afify, Cordeiro and
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Half-logistic family by Cordeiro, Alizadeh and Diniz Marinho, the complementary Odd-Burr generalized family by Alizadeh, Cordeiro, Nascimento, Lima and Ortega, the transmuted Weibull-G family by Alizadeh, Rasekhi, Yousof and Hamedani, the type I , Burr X-G by Yousof, Afify, Hamedani and Aryal, the odd Lindley-G family of distributions by Silva, Percontini, de Brito, Ramos, Venancio and Cordeiro, exponentiated transmuted-G family by Merovci, Alizadeh, Yousof and Hamedani, the Transmuted-G by Afify, Cordeiro, Yousof, Alzaatreh and Nofal Gupta, transmutedĮxponentiated generalized-G family by Yousof, Afify, Alizadeh, Butt, HamedaniĪnd Ali, transmuted geometric-G by Afify, Alizadeh, Yousof, Aryal and Ahmad Some notable family includes Marshall–Olkin-G family by Marshall and Olkin, exponentiated-G class by R. C. Several continuous univariate-G families have recently appeared. Technology has made many of these techniques accessible even if analytical The addition of one or more parameters to base model which could provideīetter adaptability in the modeling of real lifetime data. In the last decades, several generalized distributions have been proposedīased on different modification methods.