Fitting daily rainfall amount in Peninsular Malaysia using several types of exponential distributions

Abstract

This paper presents a statistical study on fitting distribution of rainfall amount in Peninsular Malaysia using several types of exponential distributions for periods from 21 to 35 years. The mixed gamma, mixed weibull and mixed exponential are proposed and tested together with their single distributions to identify the optimal model for daily rainfall amount in several rain gauge stations in Peninsular Malaysia. The selected model will be determined based on the minimum error produced by some criteria of goodness of-fit (GOF) tests. The results indicated that the mixture distributions are better than the single distributions in modeling rainfall amount where the mixed weibull is identified as the most appropriate model for the majority of sites in Peninsular Malaysia. These results however are varied between the rain gauge stations which are strongly influenced by their geographical, topographical and climatic changes