Warsono, Warsono (2011) REMARKS ON MOMENT PROPERTIES OF GENERALIZED DISTRIBUTIONS. In: Proceedings of the Third International Conference on Mathematics and Natural Sciences (ICMNS 2010). The ICMNS 2010 Organizing Committee, Bandung. ISBN 978 979 17090 3 3

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Abstract. Because of their flexibility, several authors propose to use generalized distributions. In particular, in fitting the size distribution of income the generalized beta of the second kind (GB2) is outlined by McDonald (1987). In modeling data of lung and other cancers, the generalized log-logistic (GLL) distribution is suggested by Singh (1989). In fitting air pollutant concentrations, the generalized gamma (GG) model is proposed by Marani, Lavagni, and Buttazoni (1986). Since in those papers there is no discussion about moment properties of those particular distributions, this paper derives moment generating functions (MGFs) of GLL, GB2, and GG distributions. Moreover, based on their moment generating functions this paper proves that relation among generalized distributions In deriving MGFs of generalized distributions and their relation, this paper utilizes MacLaurin series and Stirling’s approximation formula. Keywords: Generalized beta of the second kind, Generalized log-logistic distribution, Generalized gamma distribution, Moment generating function, MacLaurin series, and Stirling approximation.

Item Type: Book Section
Subjects: A General Works > AC Collections. Series. Collected works
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika
Depositing User: WARSONO
Date Deposited: 14 Jul 2016 02:07
Last Modified: 14 Jul 2016 02:07
URI: http://repository.lppm.unila.ac.id/id/eprint/154

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