Kurniasari, Dian and Warsono, Warsono and Widiarti, Widiarti and Usman, Mustofa (2018) ESTIMATION OF GENERALIZED GAMMA DISTRIBUTION PARAMETER WITH PROBABILITY WEIGHTED MOMENT METHOD. Science International Lahore, 30 (1). pp. 1-6. ISSN 1013-5316

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Abstract

The classical Gamma distribution with two parameters is the distribution most commonly used in modeling the distribution of environmental quality data. However, this distribution is less precise for environmental quality data fittings. One way to overcome this is by making generalization of Gamma distribution. In this study Generalized Gamma distribution with parameters , , and k will be used as a model of water quality data. The parameters of the Generalized Gamma distribution probability model are to be estimated with the Probability Weighted Moment Method. To see the accuracy of estimations in various sample sizes, the Monte Carlo simulation or experiment is used to generate data. Using the data, the result indicates initial guess value b = 0.14, d = 3.28 and k = 0.001.Simulation with Monte Carlo experiments for parameter estimation with Probability Weighted Moment Method on parameters and shows better results if the sample sizes used are larger. For modeling environment quality data that has Generalized Gamma distribution, regular (routine) sampling is necessary. The Probability Weighted Moment method can be an alternative method of estimation used in Generalized Gamma distribution.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA) > Prodi Matematika
Depositing User: DIAN KURNIASARI
Date Deposited: 28 May 2018 03:37
Last Modified: 28 May 2018 03:37
URI: http://repository.lppm.unila.ac.id/id/eprint/6905

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