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 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 lik... Mehr ...

Verfasser: Siow Chen Sian
Darmesah Gabda
Dokumenttyp: Artikel
Erscheinungsdatum: 2021
Reihe/Periodikum: Journal of Applied Science and Engineering, Vol 25, Iss 3, Pp 417-420 (2021)
Verlag/Hrsg.: Tamkang University Press
Schlagwörter: 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
Sprache: Englisch
Permalink: https://search.fid-benelux.de/Record/base-27249656
Datenquelle: BASE; Originalkatalog
Powered By: BASE
Link(s) : https://doi.org/10.6180/jase.202206_25(3).0007

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.