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

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.

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Publication Details

Journal
Iraqi Journal of Science
Published
2024-08-30
DOI
https://doi.org/10.24996/ijs.2024.65.8.25
Citations
9
Primary Topic
Statistical Distribution Estimation and Applications
Type
article
Field-Weighted Citation Impact
6.38
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article

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

Nooruldeen Ayad Noori, Alaa Abdulrahman Khalaf, Mundher A. Khaleel, Mohammed Qasim Ibrahim
9 citations
Iraqi Journal of Science
Statistical Distribution Estimation and Applications
6.38
article

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

Nooruldeen Ayad Noori, Alaa Abdulrahman Khalaf, Mundher A. Khaleel, Mohammed Qasim Ibrahim
article en
9 citations

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.

Iraqi Journal of Science
University of Anbar (IQ), University of Tikrit (IQ), University of Diyala (IQ)
Openalex Percentile: Top 3%
Statistical Distribution Estimation and Applications
6.38
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