[0,1]Truncated Exponentiated Exponential Burr type X Distributionwith Applications

Alaa Abdulrahman  Khalaf; Mohammed Qasim  Ibrahim; Nooruldeen Ayad  Noori; Mundher Abdullah  khaleel

doi:10.24996/ijs.2024.65.8.25

Authors

Alaa Abdulrahman Khalaf Diyala Education Directorate, Diyala, Iraq
Mohammed Qasim Ibrahim Diyala Education Directorate, Diyala, Iraq
Nooruldeen Ayad Noori Anbar Education Directorate, Anbar, Iraq https://orcid.org/0000-0001-6315-5083
Mundher Abdullah khaleel Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Iraq

DOI:

https://doi.org/10.24996/ijs.2024.65.8.25

Keywords:

[0,1]Truncated, moments, order statistics, Rényi entropy, parameter estimation

Abstract

We introduce a new flexible distribution four-parameter which is called [0,1]Truncated Exponentiated Exponential Burr type X distribution ([0,1] TEE-BX). Using binomial series expansion and exponential expansion, the new distribution is expanded by four parameters. We derive moments, moment generating function, quantile function, order statistics and the Rényi entropy. The maximum likelihood estimation method is used to estimate the parameters of the proposed TEE-BX model [0,1]. Finally, using two real-world data sets, the performance of the [0,1] TEE-BX distribution is explored. Based on the certain goodness of fit criteria, we conclude that the [0,1] TEE-BX distribution has a better fit than the other distributions.