SRIWIJAYA JOURNAL OF ENVIRONMENT
Vol 2, No 2 (2017): Water As A Vital Resource for Life

The Application of Modeling Gamma-Pareto Distributed Data Using GLM Gamma in Estimation of Monthly Rainfall with TRMM Data

Herlina Hanum (Department of Mathematics, Sriwijaya University)
Aji Hamim Wigena (Department of Statistics, Bogor Agricultural University)
Anik Djuraidah (Department of Statistics, Bogor Agricultural University)
I Wayan Mangku (Department of Mathematics, Bogor Agricultural University)



Article Info

Publish Date
30 May 2017

Abstract

As a recently developed distribution, the application of Gamma-Pareto is limited to single variable modeling.  A specific transformation of Gamma-Pareto (G-P) yields gamma distribution. Therefore, it is possible to use analysis based on gamma distribution (e.g. GLM) for modeling G-P distributed data.  In this paper we study the application of modeling G-P distributed data using GLM gamma for monthly rainfall which observed in Sukadana Station.  The modeling aims to analyze whether Tropical Rainfall Measuring Mission (TRMM) satellite data is a good estimator for unobserved station’s data.  The transformed of station’s data were considered as response variable in GLM gamma.  The explanatory variable is TRMM data in 9 grids around the station. There are two kinds of modeling i.e. model for whole data and extreme data. The results show that for both data the station’s data are G-P distributed and the transformed data are gamma distributed.  TRMM rainfall data at each grid around the station can be used to estimate the observed data of monthly rainfall. The best model for both data contains dummy variables which correspond to inter quantile data.  The coefficients of dummy variables in the best model may substitute the grouping or the correction in the previous studies.

Copyrights © 2017






Journal Info

Abbrev

ppsunsri

Publisher

Subject

Agriculture, Biological Sciences & Forestry Energy Environmental Science Public Health

Description

Sriwijaya Journal of Environment (SJE) publishes original research or theoretical papers, notes, and mini reviews on new knowledge and research or research applications on current issues in environmental sciences and related such as: Environmental Science, Environmental Technology, Environmental ...