Fitting the statistical distribution for daily rainfall in Peninsular Malaysia based on AIC criterion
This paper presents several types of exponential distributions to describe rainfall distribution in Peninsular Malaysia over a multi-year period. The exponential, gamma, mixed exponential and mixed gamma distributions are compared to identify the optimal model for daily rainfall amount based on da...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
INSInet Publications
2008
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/9956/1/SSuhailaSJamaludin2008_FittingTheStatisticalDistributionforDailyRainfall.pdf http://eprints.utm.my/id/eprint/9956/ http://www.insipub.com/jasr/2008/1846-1857.pdf |
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| Summary: | This paper presents several types of exponential distributions to describe rainfall distribution
in Peninsular Malaysia over a multi-year period. The exponential, gamma, mixed exponential and mixed
gamma distributions are compared to identify the optimal model for daily rainfall amount based on data
recorded at rain gauges stations in Peninsular Malaysia. The models are evaluated based on the Akaike
Information criterion (AIC). The log likelihood ratio test has been employed to determine whether the
differences in AIC between tested models are statistically significant. However, this test is restricted by
the need of the models to be nested. Since the gamma is not nested in the mixed exponential model so
comparison has been done indirectly using the mixed gamma as the nested model. Overall, this study has
shown that the mixture of two distributions is better than single distributions for describing the daily
rainfall amount in Peninsular Malaysia based on the AIC criterion and their differences in AIC are
statistically significant |
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