Generating a New Family of Distributions for Reliability Control

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DOI: https://doi.org/10.28924/2291-8639-23-2025-328
Published: Dec 12, 2025
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Mohammad A. Amleh, Morad Ahmad, Generating a New Family of Distributions for Reliability Control, Int. J. Anal. Appl., 23 (2025), 328.

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Mohammad A. Amleh, Morad Ahmad

Abstract

Recently, many researchers have been searching for a new family of distributions that improves the fit to a specific dataset and has attractive properties. In this paper, we present a flexible method for constructing continuous distributions by controlling their reliability. Our new technique incorporates a single parameter into the chosen continuous distribution, but it is a novel method and independent of any previously used methods. We present two special cases of this family. The new modified family offers significant improvements in fit and applicability in many fields. Furthermore, the maximum likelihood method is used to estimate the parameters in the proposed family. Real data analysis is performed to demonstrate the suitability of the new family.

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