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A new generalized linear exponential distribution and its applications |
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| Authors: | Yu-zhu Tian Mao-zai Tian Qian-qian Zhu |
| Affiliation: | 1. School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000, China 3. Center for Applied Statistics, School of Statistics, Renmin University of China, Beijing, 100872, China 2. School of Statistics, Lanzhou University of Finance and Economics, Lanzhou, 730020, China |
| Abstract: | A new generalized linear exponential distribution (NGLED) is considered in this paper which can be deemed as a new and more flexible extension of linear exponential distribution. Some statistical properties for the NGLED such as the hazard rate function, moments, quantiles are given. The maximum likelihood estimations (MLE) of unknown parameters are also discussed. A simulation study and two real data analyzes are carried out to illustrate that the new distribution is more flexible and effective than other popular distributions in modeling lifetime data. |
| Keywords: | generalized linear exponential distribution(GLED) linear exponential distribution Hazard rate function maximum likelihood estimation(MLE) |
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