Warsono, Warsono and Buana, Kartika Candra and Kurniasari, Dian (2014) Approximations of the Generalized LogLogistic Distribution to the ChiSquare Distribution. IPTEK, The Journal for Technology and Science, 25 (1). pp. 712. ISSN 20882033

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Abstract
The main purpose of this article is to do approximations graphically and mathematically the fourparameter generalized loglogistic distribution, denoted by G4LL( ), to the oneparameter Chisquare distribution with υ degrees of freedom. In order to achieve this purpose, this article creates graphically the probability density functions of both distribution and derives mathematically the MGF of the both distributions. To prove the MGF of Chisquare as a special case of the MGF of G4LL distribution, we utilized an expansion of the MacLaurin series. The results show that graphically, the Chisquare distribution can be approximated by the generalized loglogistic distribution. Moreover, by letting ( ) and , the MGF of the G4LL distribution can be written in the form of the MGF of the Chisquare distribution. Thus, the Chisquare distribution is a limiting or special case distribution of the generalized loglogistic distribution. Keywordschisquare distribution, generalized loglogistic distribution, moment generating function, MacLaurin series
Item Type:  Article 

Subjects:  A General Works > AC Collections. Series. Collected works 
Divisions:  Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika 
Depositing User:  LPPM . Unila 
Date Deposited:  12 Jul 2016 02:04 
Last Modified:  12 Jul 2016 03:52 
URI:  http://repository.lppm.unila.ac.id/id/eprint/121 
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