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Annals of Data Science
Published in: Annals of Data Science 2/2022

20-07-2019

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

Author: Abdulkareem M. Basheer

Published in: Annals of Data Science | Issue 2/2022

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Abstract

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.
previous article Predictive Inference and Parameter Estimation from the Half-Normal Distribution for the Left Censored Data
next article A Bayesian Meta-Analysis on the Association Between Beta-Carotene and Bone Mineral Density

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Literature
1.
Alice T, Jose KK (2005) Marshall–Olkin logistic processes. STARS Int J 6:1–11
2.
Basheer AM (2019) Alpha power inverse Weibull distribution with reliability application. J Taibah Univ Sci 13(1):423–432CrossRef
3.
Bjerkedal T (1960) Acquisition of resistance in guinea pigs infected with different doses of virulent tubercle bacilli. Am J Hyg 72:130–148
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Ghitany ME (2005) Marshall Olkin extended pareto and its application. Int J Appl Math 18:17–32
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Ghitany ME, Al-Awadhi FA, Alkhalfan LA (2007) Marshall–Olkin extended Lomax distribution and its application to censored data. Commun Stat Theory Methods 36:1855–1866CrossRef
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Mahdavi A, Kundu D (2017) A new method for generating distributions with an application to exponential distribution. Commun Stat Theory Methods 46(13):6543–6557CrossRef
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Marshall AW, Olkin I (1997) A new method for adding a parameter to a family of distributions with applications to the exponential and Weibull families. Biometrika 84:641–652CrossRef
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Nassar M, Alzaatreh A, Mead M, Abo-Kasem O (2017) Alpha power Weibull distribution: properties and applications. Commun Stat Theory Methods 46(20):10236–10252CrossRef
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Nassar M, Kumar D, Dey S, Cordeiro GM, Afify AZ (2019) The Marshall–Olkin alpha power family of distributions with applications. J Comput Appl Math 351:41–53CrossRef
10.
Okasha HM, El-Baz AH, Tarabia AMK, Basheer AB (2017) Extended inverse Weibull distribution with reliability application. J Egypt Math Soc 25(3):343–349CrossRef
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Okasha HM, Kayid M (2016) A new family of Marshall–Olkin extended generalized linear exponential distribution. J Comput Appl Math 296:576–592CrossRef
Metadata
Title
Marshall–Olkin Alpha Power Inverse Exponential Distribution: Properties and Applications
Author
Abdulkareem M. Basheer
Publication date
20-07-2019
Publisher
Springer Berlin Heidelberg
Published in
Annals of Data Science / Issue 2/2022
Print ISSN: 2198-5804
Electronic ISSN: 2198-5812
DOI
https://doi.org/10.1007/s40745-019-00229-0

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