Log Pearson III Distribution and Gumbel Distribution Model for Rainfall Data in Pekanbaru
Ari Pani Desvina1, Siti Arita Novia2, Mas’ud Zein3, Rado Yendra4, Muspika Hendri5, Ahmad Fudholi6
1Ari Pani Desvina*, Department of Mathematics, Faculty of Science and Technology, UIN Sultan Syarif Kasim Riau, Pekanbaru, Indonesia.
2Siti Arita Novia, Department of Mathematics, Faculty of Science and Technology, UIN Sultan Syarif Kasim Riau, Pekanbaru, Indonesia.
3Mas’ud Zein, Faculty of Trainer Teacher and Education, UIN Sultan Syarif Kasim Riau, Pekanbaru, Indonesia.
4Rado Yendra, Department of Mathematics, Faculty of Science and Technology, UIN Sultan Syarif Kasim Riau, Pekanbaru, Indonesia.
5Muspika Hendri, Faculty of Trainer Teacher and Education, UIN Sultan Syarif Kasim Riau, Pekanbaru, Indonesia.
6Ahmad Fudholi, Solar Energy Research Institute, University Kebangsaan Malaysia, Bangi Selangor, Malaysia.
Manuscript received on September 21, 2019. | Revised Manuscript received on October 15, 2019. | Manuscript published on October 30, 2019. | PP: 803-807 | Volume-9 Issue-1, October 2019 | Retrieval Number: A1411109119/2019©BEIESP | DOI: 10.35940/ijeat.A1411.109119
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Rainfall is very important for human life. Both high and low rainfall can cause some problems, ranging from flood to drought. We can see that flood can be found in several big cities, and one of them is in Pekanbaru. Therefore, rainfall data analysis is needed to know the model and the pattern of rainfall distribution. In turn, the result can be used as a consideration for the development of the city or the formulation of policy in Pekanbaru’s governance. In this study, Log Pearson III distribution and Gumbel distribution model were used to analyze data of rainfall in Pekanbaru from January 2011 to April 2017. The purpose of this study was to determine the best rainfall model among Log Pearson III and Gumbel Distribution. To estimate parameters from both models, we used Maximum Likelihood and Newton Rephson method. Based on the use of the AIC and BIC test, this study results showed that Log Pearson III is better than Gumbel distribution in modeling the rainfall data of Pekanbaru.
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