The Lindley-Weibull Distribution  

作　　者：Jun-mei JIA Zai-zai YAN Xiu-yun PENG 

机构地区：[1]College of Science,Inner Mongolia University of Technology,Hohhot 010051,China

出　　处：《Acta Mathematicae Applicatae Sinica》2025年第2期588-600,共13页应用数学学报(英文版)

基　　金：supported by the National Natural Science Foundation of China(Nos.12361058,11861049);Natural Science Foundation of Inner Mongolia(Nos.2022MS01006,2024LHMS01015);The basic research funds for universities directly under the Inner Mongolia Autonomous Region,China(JY20220083);Foundation of Inner Mongolia University of Technology(No.BS2020029).

摘　　要：In this paper,a new distribution named the Lindley-Weibull distribution which combines Lindley andWeibull distributions by using the method of T-X family is introduced.This distribution offers a more flexible model for lifetime data.We study its statistical properties include the shapes of density and hazard rate,residual and reversed residual lifetime,moment,moment generating functions,conditional moment,conditional moment generating,quantiles functions,mean deviations,R´enyi entropy,Bonferroni and Loren curves.The distribution is capable of modeling increasing,decreasing,upside-down bathtub and decreasing-increasing-decreasing hazard rate functions.The method of maximum likelihood is adopted for estimating the model parameters.The potentiality of the new model is illustrated by means of one real data set.

关 键 词：Lindley-Weibull distribution hazard rate function maximum likelihood estimation 

分 类 号：O212[理学—概率论与数理统计]