Fitting daily rainfall amount in Malaysia using the normal transform distribution
This research presents a statistical study of rainfall which compares several types of normal transform distributions that describe rainfall distribution in Malaysia over a multi-year period. The normal transform distribution meaning that all tested distributions were established based on some modif...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Asian Network for Scientific Information
2007
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| Online Access: | http://eprints.utm.my/7631/1/Abdul_Aziz_Jemain_2007_Fitting_Daily_Rainfall_Amount_Malaysia.pdf |
| _version_ | 1796854248071233536 |
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| author | Jamaludin, Suhaila Jemain, Abdul Aziz |
| author_facet | Jamaludin, Suhaila Jemain, Abdul Aziz |
| author_sort | Jamaludin, Suhaila |
| collection | ePrints |
| description | This research presents a statistical study of rainfall which compares several types of normal transform distributions that describe rainfall distribution in Malaysia over a multi-year period. The normal transform distribution meaning that all tested distributions were established based on some modification or transformation of the normal distribution through several methods. The lognormal, skew normal and mixed lognormal distributions are among the normal transform distributions that are proposed and tested to identify the optimal model for daily rainfall amount in several rain gauge stations in Malaysia. The selected model will be chosen based on the minimum error produced by seven criteria of goodness of-fit (GOF) tests, namely the median of absolute difference (MAD) between the empirical and hypothesized distribution function, the traditional Empirical Distribution Function (EDF) Statistics which include Kolmogorov-Smirnov statistic D, Anderson Darling statistic A2 and Cramer-von-Mises statistic W2 and the new method of EDF Statistics based on the likelihood ratio statistics. Of the three models tested, the mixed lognormal is found to be the most appropriate distribution for describing the daily rainfall amount in Malaysia. |
| first_indexed | 2024-03-05T18:11:34Z |
| format | Article |
| id | utm.eprints-7631 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:11:34Z |
| publishDate | 2007 |
| publisher | Asian Network for Scientific Information |
| record_format | dspace |
| spelling | utm.eprints-76312010-06-01T15:54:08Z http://eprints.utm.my/7631/ Fitting daily rainfall amount in Malaysia using the normal transform distribution Jamaludin, Suhaila Jemain, Abdul Aziz QA Mathematics This research presents a statistical study of rainfall which compares several types of normal transform distributions that describe rainfall distribution in Malaysia over a multi-year period. The normal transform distribution meaning that all tested distributions were established based on some modification or transformation of the normal distribution through several methods. The lognormal, skew normal and mixed lognormal distributions are among the normal transform distributions that are proposed and tested to identify the optimal model for daily rainfall amount in several rain gauge stations in Malaysia. The selected model will be chosen based on the minimum error produced by seven criteria of goodness of-fit (GOF) tests, namely the median of absolute difference (MAD) between the empirical and hypothesized distribution function, the traditional Empirical Distribution Function (EDF) Statistics which include Kolmogorov-Smirnov statistic D, Anderson Darling statistic A2 and Cramer-von-Mises statistic W2 and the new method of EDF Statistics based on the likelihood ratio statistics. Of the three models tested, the mixed lognormal is found to be the most appropriate distribution for describing the daily rainfall amount in Malaysia. Asian Network for Scientific Information 2007 Article PeerReviewed application/pdf en http://eprints.utm.my/7631/1/Abdul_Aziz_Jemain_2007_Fitting_Daily_Rainfall_Amount_Malaysia.pdf Jamaludin, Suhaila and Jemain, Abdul Aziz (2007) Fitting daily rainfall amount in Malaysia using the normal transform distribution. Journal of Applied Sciences, 7 (14). pp. 1880-1886. ISSN 1812-5654 http://www.scialert.net/previous.php?issn=1812-5654 |
| spellingShingle | QA Mathematics Jamaludin, Suhaila Jemain, Abdul Aziz Fitting daily rainfall amount in Malaysia using the normal transform distribution |
| title | Fitting daily rainfall amount in Malaysia using the normal transform distribution |
| title_full | Fitting daily rainfall amount in Malaysia using the normal transform distribution |
| title_fullStr | Fitting daily rainfall amount in Malaysia using the normal transform distribution |
| title_full_unstemmed | Fitting daily rainfall amount in Malaysia using the normal transform distribution |
| title_short | Fitting daily rainfall amount in Malaysia using the normal transform distribution |
| title_sort | fitting daily rainfall amount in malaysia using the normal transform distribution |
| topic | QA Mathematics |
| url | http://eprints.utm.my/7631/1/Abdul_Aziz_Jemain_2007_Fitting_Daily_Rainfall_Amount_Malaysia.pdf |
| work_keys_str_mv | AT jamaludinsuhaila fittingdailyrainfallamountinmalaysiausingthenormaltransformdistribution AT jemainabdulaziz fittingdailyrainfallamountinmalaysiausingthenormaltransformdistribution |