Litcius/Paper detail

Distributional properties of the entropy transformed Weibull distribution and applications to various scientific fields

Tabassum Naz Sindhu, Anum Shafiq, Showkat Ahmad Lone, Qasem M. Al‐Mdallal, Tahani A. Abushal

2024Scientific Reports11 citationsDOIOpen Access PDF

Abstract

A novel two-parameter continuous model titled the entropy-transformed Weibull (ET-W) distribution has been developed via the entropy transformation. A new framework has been investigated and found to meet the criteria of the probability function. By significantly improving the functional shape and having the ability to model the most likely form of the hazard rate function, this novel modification has increased the adaptability of typical model. Some of its core characteristics, such as its statistical and computational features, are simply and clearly presented. To examine the ultimate performance of maximum likelihood estimators during the process of estimating model parameters, a comprehensive simulation analysis has been conducted. The effectiveness of the suggested distribution is illustrated through the modeling of real datasets.

Topics & Concepts

Weibull distributionComputer scienceEstimatorEntropy (arrow of time)Principle of maximum entropyAdaptabilityStatistical physicsApplied mathematicsData miningMathematicsStatisticsArtificial intelligenceThermodynamicsBiologyEcologyPhysicsStatistical Distribution Estimation and ApplicationsHydrology and Drought AnalysisProbabilistic and Robust Engineering Design