Characterization of Marshall-Olkin-G family of distributions by truncated moments
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Authors
Mustapha Muhammad
- College of Mathematics and Information Science, Hebei Normal University, 050024 Shijiazhuang, Hebei, China.
Lixia Liu
- College of Mathematics and Information Science, Hebei Normal University, 050024 Shijiazhuang, Hebei, China.
Abstract
In this paper, a characterization of the Marshall-Olkin-G family of distribution (MO-G)
[A. W. Marshall, I. Olkin, Biometrika, \(\bf 84\) (1997), 641--652] by left and right truncated moments based on a certain continuous function of a random variable is discussed under some necessary condition. We provide characterization of Marshall-Olkin Nadarajah-Haghighi distribution (MONH) [A. J. Lemonte, G. M. Cordeiro, G. Moreno-Arenas, Statistics, \(\bf 50\) (2016), 312--337] and Marshall-Olkin generalized Erlang-truncated exponential distribution (MOGETE) [I. E. Okorie, A. C. Akpanta, J. Ohakwe, Cogent Math., \(\bf 4\) (2017), 19 pages] for illustration.
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ISRP Style
Mustapha Muhammad, Lixia Liu, Characterization of Marshall-Olkin-G family of distributions by truncated moments, Journal of Mathematics and Computer Science, 19 (2019), no. 3, 192--202
AMA Style
Muhammad Mustapha, Liu Lixia, Characterization of Marshall-Olkin-G family of distributions by truncated moments. J Math Comput SCI-JM. (2019); 19(3):192--202
Chicago/Turabian Style
Muhammad, Mustapha, Liu, Lixia. "Characterization of Marshall-Olkin-G family of distributions by truncated moments." Journal of Mathematics and Computer Science, 19, no. 3 (2019): 192--202
Keywords
- MO-G family
- MONH model
- MOGETE model
- truncated Moments
- failure rate
- reverse failure rate
- characterization of distribution
MSC
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