期刊名称:Journal of Statistical Theory and Applications (JSTA)
电子版ISSN:1538-7887
出版年度:2017
卷号:16
期号:1
页码:67-82
DOI:10.2991/jsta.2017.16.1.6
语种:English
出版社:Atlantis Press
摘要:This paper introduces the four parameter transmuted generalized Gompertz distribution which includes the transmuted Gompertz, transmuted generalized exponential, transmuted exponential, Gompertz, generalized exponential and exponential distributions as special cases and studies its statistical properties. Explicit expressions are derived for the quantile, moments, moment generating function and entropies. Maximum likelihood estimation is used to estimate the model parameters. Finally, two applications of the new distribution is illustrated using reliability data sets.
关键词:Reliability functions; moment estimation; maximum likelihood estimation.