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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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INSInet Publications
2008
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| Subjects: | |
| Online Access: | http://eprints.utm.my/9956/1/SSuhailaSJamaludin2008_FittingTheStatisticalDistributionforDailyRainfall.pdf |
| _version_ | 1796854612038254592 |
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| author | Syed Jamaludin, Shariffah Suhaila Jemain, Abdul Aziz |
| author_facet | Syed Jamaludin, Shariffah Suhaila Jemain, Abdul Aziz |
| author_sort | Syed Jamaludin, Shariffah Suhaila |
| collection | ePrints |
| description | 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 |
| first_indexed | 2024-03-05T18:16:39Z |
| format | Article |
| id | utm.eprints-9956 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:16:39Z |
| publishDate | 2008 |
| publisher | INSInet Publications |
| record_format | dspace |
| spelling | utm.eprints-99562011-01-25T07:29:18Z http://eprints.utm.my/9956/ Fitting the statistical distribution for daily rainfall in Peninsular Malaysia based on AIC criterion Syed Jamaludin, Shariffah Suhaila Jemain, Abdul Aziz QA Mathematics 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 INSInet Publications 2008-12 Article PeerReviewed application/pdf en http://eprints.utm.my/9956/1/SSuhailaSJamaludin2008_FittingTheStatisticalDistributionforDailyRainfall.pdf Syed Jamaludin, Shariffah Suhaila and Jemain, Abdul Aziz (2008) Fitting the statistical distribution for daily rainfall in Peninsular Malaysia based on AIC criterion. Journal of Applied Sciences Research, 4 (12). pp. 1846-1857. ISSN 1819-544X (online) http://www.insipub.com/jasr/2008/1846-1857.pdf |
| spellingShingle | QA Mathematics Syed Jamaludin, Shariffah Suhaila Jemain, Abdul Aziz Fitting the statistical distribution for daily rainfall in Peninsular Malaysia based on AIC criterion |
| title | Fitting the statistical distribution for daily rainfall in Peninsular Malaysia based on AIC criterion
|
| title_full | Fitting the statistical distribution for daily rainfall in Peninsular Malaysia based on AIC criterion
|
| title_fullStr | Fitting the statistical distribution for daily rainfall in Peninsular Malaysia based on AIC criterion
|
| title_full_unstemmed | Fitting the statistical distribution for daily rainfall in Peninsular Malaysia based on AIC criterion
|
| title_short | Fitting the statistical distribution for daily rainfall in Peninsular Malaysia based on AIC criterion
|
| title_sort | fitting the statistical distribution for daily rainfall in peninsular malaysia based on aic criterion |
| topic | QA Mathematics |
| url | http://eprints.utm.my/9956/1/SSuhailaSJamaludin2008_FittingTheStatisticalDistributionforDailyRainfall.pdf |
| work_keys_str_mv | AT syedjamaludinshariffahsuhaila fittingthestatisticaldistributionfordailyrainfallinpeninsularmalaysiabasedonaiccriterion AT jemainabdulaziz fittingthestatisticaldistributionfordailyrainfallinpeninsularmalaysiabasedonaiccriterion |