Modeling the Extreme Rainfall Data of Several Sites in Sabah using Sandwich Estimator
When the extreme data were obtained from several sites in a region, spatial extreme analysis is always been considered. In this paper, we model the annual maximum rainfall data by using generalized extreme value distribution. We fit the model independently for each site to prevent extreme value comp...
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Tamkang University Press
2021
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oai:doaj.org-article:f30b5cc95dd34b78813c3a5309dd920c2021-11-24T14:42:36ZModeling the Extreme Rainfall Data of Several Sites in Sabah using Sandwich Estimator10.6180/jase.202206_25(3).00072708-99672708-9975https://doaj.org/article/f30b5cc95dd34b78813c3a5309dd920c2021-11-01T00:00:00Zhttp://jase.tku.edu.tw/articles/jase-202206-25-3-0007https://doaj.org/toc/2708-9967https://doaj.org/toc/2708-9975When the extreme data were obtained from several sites in a region, spatial extreme analysis is always been considered. In this paper, we model the annual maximum rainfall data by using generalized extreme value distribution. We fit the model independently for each site to prevent extreme value complex modeling. However, it also causes the statistical assumption of dependency between sites to be violated. Therefore, we applied the sandwich estimator to correct the variance of the model. We also consider an analysis of small sample sizes of the observed data. The method of penalized maximum likelihood estimation was carried out to improve the inference of the model. In the end, the return levels of the annual maximum rainfall data were computed by using the corrected model. Siow Chen SianDarmesah GabdaTamkang University Pressarticlegeneralized extreme value (gev) distributionpenalized maximum likelihood estimation (pmle)sandwich estimatorreturn levelEngineering (General). Civil engineering (General)TA1-2040Chemical engineeringTP155-156PhysicsQC1-999ENJournal of Applied Science and Engineering, Vol 25, Iss 3, Pp 417-420 (2021) |
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generalized extreme value (gev) distribution penalized maximum likelihood estimation (pmle) sandwich estimator return level Engineering (General). Civil engineering (General) TA1-2040 Chemical engineering TP155-156 Physics QC1-999 |
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generalized extreme value (gev) distribution penalized maximum likelihood estimation (pmle) sandwich estimator return level Engineering (General). Civil engineering (General) TA1-2040 Chemical engineering TP155-156 Physics QC1-999 Siow Chen Sian Darmesah Gabda Modeling the Extreme Rainfall Data of Several Sites in Sabah using Sandwich Estimator |
description |
When the extreme data were obtained from several sites in a region, spatial extreme analysis is always been considered. In this paper, we model the annual maximum rainfall data by using generalized extreme value distribution. We fit the model independently for each site to prevent extreme value complex modeling. However, it also causes the statistical assumption of dependency between sites to be violated. Therefore, we applied the sandwich estimator to correct the variance of the model. We also consider an analysis of small sample sizes of the observed data. The method of penalized maximum likelihood estimation was carried out to improve the inference of the model. In the end, the return levels of the annual maximum rainfall data were computed by using the corrected model. |
format |
article |
author |
Siow Chen Sian Darmesah Gabda |
author_facet |
Siow Chen Sian Darmesah Gabda |
author_sort |
Siow Chen Sian |
title |
Modeling the Extreme Rainfall Data of Several Sites in Sabah using Sandwich Estimator |
title_short |
Modeling the Extreme Rainfall Data of Several Sites in Sabah using Sandwich Estimator |
title_full |
Modeling the Extreme Rainfall Data of Several Sites in Sabah using Sandwich Estimator |
title_fullStr |
Modeling the Extreme Rainfall Data of Several Sites in Sabah using Sandwich Estimator |
title_full_unstemmed |
Modeling the Extreme Rainfall Data of Several Sites in Sabah using Sandwich Estimator |
title_sort |
modeling the extreme rainfall data of several sites in sabah using sandwich estimator |
publisher |
Tamkang University Press |
publishDate |
2021 |
url |
https://doaj.org/article/f30b5cc95dd34b78813c3a5309dd920c |
work_keys_str_mv |
AT siowchensian modelingtheextremerainfalldataofseveralsitesinsabahusingsandwichestimator AT darmesahgabda modelingtheextremerainfalldataofseveralsitesinsabahusingsandwichestimator |
_version_ |
1718415023893643264 |