Proceedings of International Conference on Applied Innovation in IT  ·  2026/03/31  ·  Vol. 14  ·  Issue 1  ·  pp. 131–139
New Probability Distribution for Lifetime Data Analysis
Ali Hussein Noori and Munaf Yousif Hmood
📄 Download PDF DOI: 10.25673/123547
Abstract
In various fields, the analysis of lifetime data is a significant focus. This analysis relies on selecting an appropriate probability distribution that accurately reflects the characteristics of the phenomenon under study and accurately determines the behavior of the data. This study proposes a new probability distribution for modeling and representing a various set of lifetime data. Some The mathematical properties of the distribution are derived. The maximum likelihood approach is used to estimate the distribution parameters(▁ω=α,β,θ,γ). The behavior for the pdf f(x;▁ω) of the proposed new distribution demonstrates that it has the flexibility to represent data through its ability to take on different forms. The flexibility of the distribution is examined by applying it to lifetime data and comparing it with other distributions. Based on several statistical comparison criteria (AIC the Akaike information criterion, BIC the Bayesian information criterion, and AICc the adjusted Akaike information criterion), the results indicate that the proposed distribution provides a better fit to the data.
Keywords
Competing Risks Bathtub-Shaped Weibull-WW Distribution Maximum Likelihood Estimation.
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