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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Autores principales: Siow Chen Sian, Darmesah Gabda
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Lenguaje:EN
Publicado: Tamkang University Press 2021
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Acceso en línea:https://doaj.org/article/f30b5cc95dd34b78813c3a5309dd920c
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic 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
spellingShingle 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
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