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,Renyi 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.
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).
