Frontiers of Mathematics in China >

2023 , Vol. 18 >Issue 3: 165 - 174

DOI: https://doi.org/10.3868/s140-DDD-023-0013-x

RESEARCH　ARTICLE

Parameters estimation and application of generalized exponential distribution under grouped and right-censored data

  • Yuzhu TIAN , 1,2 ,
  • Maozai TIAN 2 ,
  • Ping CHEN 3
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  • 1. Center for Applied Statistics, Renmin University of China, Beijing 100872, China
  • 2. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China
  • 3. Dependment of Mathematics, Southeast University, Nanjing 210096, China
pole1999@163.com

Copyright

2023 Higher Education Press 2023
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Abstract

Generalized exponential distribution is a class of important distribution in lifedata analysis, especially in some skewed lifedata. The Parameter estimation problem for generalized exponential distribution model with grouped and right-censored data is considered. The maximum likelihood estimators are obtained using the EM algorithm. Some simulations are carried out to illustrate that the proposed algorithm is effective for the model. Finally, a set of medicine data is analyzed by generalized exponential distribution.

Key words： Generalized exponential distribution; grouped and right-censored data; EM algorithm

Cite this article

Yuzhu TIAN , Maozai TIAN , Ping CHEN . Parameters estimation and application of generalized exponential distribution under grouped and right-censored data[J]. Frontiers of Mathematics in China, 2023 , 18(3) : 165 -174 . DOI: 10.3868/s140-DDD-023-0013-x

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