Reliability Modeling with a Transformed Exponential Distribution: Theory and Applications
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.
Published
2025-11-18
How to Cite
Odat, N. (2025). Reliability Modeling with a Transformed Exponential Distribution: Theory and Applications. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2998
Issue
Section
Research Articles
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