Parameter estimate for three-parameter kappa distribution using LH-moments approach
The method of higher-order L-moments (LH-moment) was proposed as a more robust alternative compared to classical L-moments to characterize extreme events. The new derivation will be done for Mielke-Johnson's Kappa and Three-Parameters Kappa Type-II (K3D-II) distributions based on the LHmoments...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Advanced Science Extension (IASE)
2022
|
| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/33581/1/Parameter%20estimate%20for%20three-parameter%20kappa%20distribution%20using%20LH-moments%20approach.pdf |
| _version_ | 1825814234812907520 |
|---|---|
| author | Zahrahtul Amani, Zakaria Ali, Jarah Moath Suleiman Wan Nur Syahidah, Wan Yusoff |
| author_facet | Zahrahtul Amani, Zakaria Ali, Jarah Moath Suleiman Wan Nur Syahidah, Wan Yusoff |
| author_sort | Zahrahtul Amani, Zakaria |
| collection | UMP |
| description | The method of higher-order L-moments (LH-moment) was proposed as a more robust alternative compared to classical L-moments to characterize extreme events. The new derivation will be done for Mielke-Johnson's Kappa and Three-Parameters Kappa Type-II (K3D-II) distributions based on the LHmoments approach. The data of maximum monthly rainfall for Embong station in Terengganu were used as a case study. The analyses were conducted using the classical L-moments method with η = 0 and LHmoments methods with η = 1, η = 2, η = 3 and η = 4 for a complete data series and upper parts of the distributions. The most suitable distributions were determined based on the Mean Absolute Deviation Index (MADI), Mean Square Deviation Index (MSDI), and Correlation (r). Also, L-moment and LHmoment ratio diagrams were used to represent visual proofs of the results. The analysis showed that LH-moments methods at a higher order of K3D-II distribution best fit the data of maximum monthly rainfalls for the Embong station for the upper parts of the distribution compared to L-moments. The results also proved that whenever η increases, LH-moments reflect more and more characteristics of the upper part of the distribution. This seems to suggest that LH-moments estimates for the upper part of the distribution events are superior to L-moments in fitting the data of maximum monthly rainfalls. |
| first_indexed | 2024-03-06T12:55:47Z |
| format | Article |
| id | UMPir33581 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T12:55:47Z |
| publishDate | 2022 |
| publisher | Institute of Advanced Science Extension (IASE) |
| record_format | dspace |
| spelling | UMPir335812022-04-15T07:20:34Z http://umpir.ump.edu.my/id/eprint/33581/ Parameter estimate for three-parameter kappa distribution using LH-moments approach Zahrahtul Amani, Zakaria Ali, Jarah Moath Suleiman Wan Nur Syahidah, Wan Yusoff GB Physical geography Q Science (General) QA Mathematics The method of higher-order L-moments (LH-moment) was proposed as a more robust alternative compared to classical L-moments to characterize extreme events. The new derivation will be done for Mielke-Johnson's Kappa and Three-Parameters Kappa Type-II (K3D-II) distributions based on the LHmoments approach. The data of maximum monthly rainfall for Embong station in Terengganu were used as a case study. The analyses were conducted using the classical L-moments method with η = 0 and LHmoments methods with η = 1, η = 2, η = 3 and η = 4 for a complete data series and upper parts of the distributions. The most suitable distributions were determined based on the Mean Absolute Deviation Index (MADI), Mean Square Deviation Index (MSDI), and Correlation (r). Also, L-moment and LHmoment ratio diagrams were used to represent visual proofs of the results. The analysis showed that LH-moments methods at a higher order of K3D-II distribution best fit the data of maximum monthly rainfalls for the Embong station for the upper parts of the distribution compared to L-moments. The results also proved that whenever η increases, LH-moments reflect more and more characteristics of the upper part of the distribution. This seems to suggest that LH-moments estimates for the upper part of the distribution events are superior to L-moments in fitting the data of maximum monthly rainfalls. Institute of Advanced Science Extension (IASE) 2022-02 Article PeerReviewed pdf en cc_by_nc_nd_4 http://umpir.ump.edu.my/id/eprint/33581/1/Parameter%20estimate%20for%20three-parameter%20kappa%20distribution%20using%20LH-moments%20approach.pdf Zahrahtul Amani, Zakaria and Ali, Jarah Moath Suleiman and Wan Nur Syahidah, Wan Yusoff (2022) Parameter estimate for three-parameter kappa distribution using LH-moments approach. International Journal of Advanced and Applied Sciences, 9 (2). pp. 104-108. ISSN 2313-626X. (Published) https://doi.org/10.21833/IJAAS.2022.02.011 https://doi.org/10.21833/IJAAS.2022.02.011 |
| spellingShingle | GB Physical geography Q Science (General) QA Mathematics Zahrahtul Amani, Zakaria Ali, Jarah Moath Suleiman Wan Nur Syahidah, Wan Yusoff Parameter estimate for three-parameter kappa distribution using LH-moments approach |
| title | Parameter estimate for three-parameter kappa distribution using LH-moments approach |
| title_full | Parameter estimate for three-parameter kappa distribution using LH-moments approach |
| title_fullStr | Parameter estimate for three-parameter kappa distribution using LH-moments approach |
| title_full_unstemmed | Parameter estimate for three-parameter kappa distribution using LH-moments approach |
| title_short | Parameter estimate for three-parameter kappa distribution using LH-moments approach |
| title_sort | parameter estimate for three parameter kappa distribution using lh moments approach |
| topic | GB Physical geography Q Science (General) QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/33581/1/Parameter%20estimate%20for%20three-parameter%20kappa%20distribution%20using%20LH-moments%20approach.pdf |
| work_keys_str_mv | AT zahrahtulamanizakaria parameterestimateforthreeparameterkappadistributionusinglhmomentsapproach AT alijarahmoathsuleiman parameterestimateforthreeparameterkappadistributionusinglhmomentsapproach AT wannursyahidahwanyusoff parameterestimateforthreeparameterkappadistributionusinglhmomentsapproach |