Reliability Modeling with a Transformed Exponential Distribution: Theory and Applications

Authors

  • Naser Odat Department of mathematics, Faculty of Science, Jadara University, Irbid 21110, Jordan

DOI:

https://doi.org/10.19139/soic-2310-5070-2998

Keywords:

Transmuted Distribution, Hazard Rate, Reliability, Maximum Likelihood Estimation, Goodness-of-Fit.

Abstract

In this study, we present the Transmuted Exponential Distribution (TED), which is a quadratic transformation-based version of the exponential distribution. The TED gets around the exponential distribution's main drawback, which is its constant failure rate, by introducing a single shape parameter . The new model is much more appropriate to data from the real world since it can depict both rising and falling hazard rates. Using a real-world dataset, we show its greater performance over the conventional exponential model and deduce its fundamental statistical features.

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Published

2025-11-18

How to Cite

Odat, N. (2025). Reliability Modeling with a Transformed Exponential Distribution: Theory and Applications. Statistics, Optimization & Information Computing, 15(3), 1592–1610. https://doi.org/10.19139/soic-2310-5070-2998

Issue

Vol. 15 No. 3 (2026)

Section

Research Articles

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