A new class of lifetime distribution with decreasing failure rate: Properties and applications

作     者：Kumar, C. Satheesh Satheenthar, A. S. 

作者机构：Univ Kerala Dept Stat Thiruvananthapuram Kerala India 

出 版 物：《COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION》 (统计学通讯：模拟与计算)

年 卷 期：2023年第52卷第7期

页      面：3343-3364页

核心收录：

学科分类：0202[经济学-应用经济学] 02[经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 

基　　金：Department of Science and Technology  New Delhi (Government of India) [MTR/2017/000942] 

主　　题：Compound distributions EM algorithm Exponential distribution Maximum likelihood estimation Model selection Positive hyper-Poisson distribution Simulation 

摘      要：The exponential model is the simplest among all lifetime distribution models and it possesses a constant failure rate. Here we propose a new class of lifetime distribution having decreasing failure rate which we developed through compounding exponential distribution with the positive hyper-Poisson distribution. We investigate some of its statistical properties and employed various methods of estimation for estimating the parameters of the distribution along with certain test procedures. All the procedures discussed in the paper are illustrated with the help of real-life data sets. Further, a brief simulation study is conducted for examining the performance of the estimators of the parameters of the distribution.