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     Research Journal of Applied Sciences, Engineering and Technology


Modeling of Annual Maximum Storm Intensity with Bayesian Markov Chain Monte Carlo (MCMC) and L-moment

1Rado Yendra, 1Ari Pani Desvina, 1Rahmadeni, 2Kuseiri, 3Abdul Aziz Jemain and 4Ahmad Fudholi
1Department of Mathematics, Faculty of Science and Technology, Universitas Islam Sultan Syarif Kasim (UIN Suska), 28293 Pekanbaru, Riau, Indonesia
2Department of Mathematics and Science Education, Faculty of Education and Teacher Training, Islamic State University of Sunan Ampel, Surabaya, Indonesia
3School of Mathematical Sciences, Faculty of Science and Technology
4Solar Energy Research Institute, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia
Research Journal of Applied Sciences, Engineering and Technology  2016  4:283-294
http://dx.doi.org/10.19026/rjaset.13.2944  |  © The Author(s) 2016
Received: July ‎13, ‎2015   |  Accepted: August ‎30, ‎2015  |  Published: August 15, 2016

Abstract

This study presents the best fitting distribution to describe the siries MSI based on hourly rainfall form 1970 to 2008 for three rain gauge stations in Peninsular Malaysia namely Bertam, Dungun and Pekan. Two three-parameter extreme value distributions which are considered are Generalized Extreme Value (GEV) and Generalized Logistic (GL). The parameters of these distributions are determined using the Bayesian MCMC with non-informative prior distribution and L-moments (LMOM) method. The Goodness-Of-Fit (GOF) between empirical data and theoretical distributions are then evaluated for each stations. The result show that the majority of the stations are found that the L-moment method can give the best modelling for MSI, specified for GEV distribution. Based on the model that has been identified, we can reasonably predict the risks associated the MSI for various return periods.

Keywords:

AMSE , Bayesian MCMC , MSA , MSD , MSI,


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Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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