A Novel Modified Alpha Power Transformed Weibull Distribution and Its Engineering Applications

作     者：Refah Alotaibi Hassan Okasha Mazen Nassar Ahmed Elshahhat 

作者机构：Department of Mathematical SciencesCollege of SciencePrincess Nourah bint Abdulrahman UniversityP.O.Box 84428Riyadh11671Saudi Arabia Department of StatisticsFaculty of ScienceKing Abdulaziz UniversityJeddah80200Saudi Arabia Department of MathematicsFaculty of ScienceAl-Azhar UniversityNasr CityCairo11884Egypt Department of StatisticsFaculty of CommerceZagazig UniversityZagazig44519Egypt Faculty of Technology and DevelopmentZagazig UniversityZagazig44519Egypt 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2023年第135卷第6期

页      面：2065-2089页

核心收录：

学科分类：08[工学] 0835[工学-软件工程] 081202[工学-计算机软件与理论] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：funded by Princess Nourah bint Abdulrahman University Researchers Supporting Project No.(PNURSP2022R50) Princess Nourah bint Abdulrahman University Riyadh Saudi Arabia 

主　　题：Weibull distribution modified alpha power transformationmethod maximum likelihood entropy order statistics 

摘      要：This paper suggests a new modified version of the traditional Weibull distribution by adding a new shape parameter utilising the modified alpha power transformed *** refer to the new model as modified alpha power transformed Weibull *** attractiveness and significance of the new distribution lie in its power to model monotone and non-monotone failure rate functions,which are quite familiar in environmental *** hazard rate function can be decreasing,increasing,bathtub and upside-down then bathtub *** structural properties of the proposed model are acquired including quantile function,moments,entropies,order statistics,residual life and reversed failure rate *** parameters of the distribution were estimated using the maximum likelihood *** maximum likelihood method is employed to estimate the model parameters and the approximate confidence intervals are also *** a simulation study,the performance of the point and interval estimates are compared using different *** real lifetime data sets,we verify that the offered model furnishes a better fit than some other lifetime models including Weibull,gamma and alpha powerWeibull models.