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A New Three-Parameter Inverse Weibull Distribution with Medical and Engineering Applications

Computer Modeling in Engineering & Sciences 2023年第5期135卷 1255-1274页

作者： Refah Alotaibi Hassan Okasha Hoda Rezk Mazen Nassar Department of Mathematical Sciences College of SciencePrincess Nourah bint Abdulrahman UniversityRiyadh11671Saudi Arabia Department of Statistics Faculty of ScienceKing Abdulaziz UniversityJeddah21589Saudi Arabia Department of Mathematics Faculty of ScienceAl-Azhar UniversityNasr City11884CairoEgypt Department of Statistics Faculty of CommerceAl-Azhar UniversityNasr City11884CairoEgypt Department of Statistics Faculty of CommerceZagazig UniversityZagazig44519Egypt

The objective of this article is to provide a novel extension of the conventional inverse Weibull distribution that adds an extra shape parameter to increase its *** addition is beneficial in a variety of fields,including reliability,economics,engineering,biomedical science,biological research,environmental studies,and *** modeling real data,several expanded classes of distributions have been *** modified alpha power transformed approach is used to implement the new *** datamatches the new inverseWeibull distribution better than the inverse Weibull distribution and several other competing *** appears to be a distribution designed to support decreasing or unimodal shaped distributions based on its *** expressions for quantiles,moments,incomplete moments,moment generating function,characteristic generating function,and entropy expression are among the determined attributes of the new *** point and interval estimates are studied using the maximum likelihood *** research is conducted to illustrate the correctness of the theoretical *** applications to medical and engineering data are utilized to illustrate the model’s flexibility.

关键词： Inverse weibull distribution modified alpha power transformation method moments order statistics

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