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The Generalized Alpha Power Exponentiated Inverse Exponential distribution and it's application to real data
  • Moses Kargbo,
  • Anthony Waititu,
  • Anthony Wanjoya
Moses Kargbo
Pan African University Institute for Basic Sciences Technology and Innovation

Corresponding Author:kargbomoses14684@gmail.com

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Anthony Waititu
Jomo Kenyatta University of Agriculture and Technology
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Anthony Wanjoya
Jomo Kenyatta University of Agriculture and Technology
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Abstract

This paper proposes a new distribution named “The Generalized Alpha Power Exponentiated Inverse Exponential (GAPEIEx for short) distribution” with four parameters, from which one (1) scale and three (3) shape parameters and the statistical properties such as Survival function, Hazard function, Quantile function, r^(th) Moment, Rényi Entropy, and Order Statistics of the new distribution are derived. The method of maximum likelihood estimation (MLE) is used to estimate the parameters of the distribution. The performance of the estimators is assessed through simulation, which shows that the maximum likelihood method works well in estimating the parameters. The GAPEIEx distribution was applied to simulated and real data in order to access the flexibility and adaptability of the distribution, and it happens to perform better than its submodels.
16 Jul 2023Submitted to Engineering Reports
17 Jul 2023Submission Checks Completed
17 Jul 2023Assigned to Editor
17 Jul 2023Review(s) Completed, Editorial Evaluation Pending
20 Jul 2023Reviewer(s) Assigned
28 Aug 2023Editorial Decision: Revise Major
10 Sep 20231st Revision Received
11 Sep 2023Assigned to Editor
11 Sep 2023Submission Checks Completed
11 Sep 2023Review(s) Completed, Editorial Evaluation Pending
12 Sep 2023Reviewer(s) Assigned
07 Oct 2023Editorial Decision: Revise Major
21 Oct 20232nd Revision Received
24 Oct 2023Submission Checks Completed
24 Oct 2023Assigned to Editor
24 Oct 2023Review(s) Completed, Editorial Evaluation Pending
25 Oct 2023Reviewer(s) Assigned
20 Nov 2023Editorial Decision: Revise Minor
22 Nov 20233rd Revision Received