Marshall–Olkin Alpha Power Inverse Exponential Distribution: Properties and Applications

被引：1
作者：
Basheer A.M. [1 ]
机构：
[1] Albayda University, Albayda
来源：
Annals of Data Science | 2022年 / 9卷 / 02期
关键词：
Alpha power transformation; Inverse exponential distribution; Marshall Olkin transformation; Maximum likelihood estimation; Simulation;
D O I：
10.1007/s40745-019-00229-0
中图分类号：
学科分类号：
摘要：
In this paper, we use the method of the Marshall Olkin alpha power transformation to introduce a new generalized Marshall Olkin alpha power inverse exponential (MOAPIE) distribution. Its characterization and statistical properties are obtained, such as reliability, entropy and order statistics. Moreover, the estimation of the MOAPIE parameters is discussed by using maximum likelihood estimation method. Finally, application of the proposed new distribution to a real data representing the survival times in days of guinea pigs injected with different doses of tubercle bacilli is given and its goodness-of-fit is demonstrated. In addition, comparisons to other models are carried out to illustrate the flexibility of the proposed model. © 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
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页码：301 / 313
页数：12
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