المستخلص: |
In the last few years, attempts have been made to define new families of probability distributions that extend well-known families of distributions and provide great flexibility in modeling data in practice. And Mahdavi and Kundu (2015) proposed a new method to introduce an extra parameter to a family of distributions for more flexibility. The proposed method is called alpha power transformation (APT) and it is useful to incorporate skewness to a family of distributions. Recently, Elbatal et al (2019) proposed a new proposal named new alpha-power transformation (NAPT) method. Here we use Ibrahim distribution. A random variable is said to have two parameters Ibrahim distribution if its pdf is of the following from (cf Abdul-Monem (2016)) and the main aim of this study is introducing a new generalized form Ibrahim distribution, based on the new alpha-power transformation technique. And Mathematical structure and the statistical properties of the new distribution are studied. And Estimation and simulation are performed. And Applications to real data will be illustrated.
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