%0 Journal Article %A NIU Yulin %A YAN Zaizai %T roperties and Applications of Alpha Power Gamma Distribution %D 2019 %R 10.3969/j.issn.1001-4268.2019.04.001 %J CHINESE JOURNAL OF APPLIED PROBABILITY AND STATISTICS %P 331-344 %V 35 %N 4 %X

In this paper, the gamma distribution has been extended by adding an extra shape parameter, we refer to the new distribution as alpha power gamma distribution. It is found that the distribution has a relatively flexible hazard rate function. The properties of the new distribution are studied, including explicit
expressions for the $s^{\text{th}}$ raw moments, moment generating function and distributions of order statistics  are derived. Also, the integral expressions for the entropy, mean residual life and mean waiting time are obtained. The maximum likelihood estimators of the distribution parameters under complete sample are discussed, the Fisher information matrix is derived. Then, the estimation of the parameters under the general progressive type-II censoring is studied.
Finally, the real data set is used to illustrate the practicality of the proposed distribution.

%U http://aps.ecnu.edu.cn/EN/10.3969/j.issn.1001-4268.2019.04.001