采用几何高斯模型的最大稳定过程与塞玛琅市的降雨量数据

Arief Rachman Hakim, R. Santoso, H. Yasin, Masithoh Yessi Rochayani
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摘要

空间极值(SEV)是一种统计技术,用于模拟多个地点发生的极端事件,这些地点之间存在空间依赖关系。高强度降雨可引发洪水和山体滑坡等灾害。需要建立降雨模型作为早期检测步骤。SEV 由单变量极值理论 (EVT) 方法发展成为多变量方法。本研究采用的 SEV 方法,即最大稳定过程,是多元 EVT 向无限维度的扩展。有 4 种最大稳定过程模型,即 Smith、Schlater、Brown Resnik 和几何高斯模型,它们都具有广义极值(GEV)分布。本研究利用三宝垄市的降雨数据建立极端降雨模型。本研究使用几何高斯模型对数据进行建模。该方法是从 Smith 和 Schlater 模型发展而来的,因此与之前的模型相比,该模型能获得更好的建模效果。未来两个时期的最大极端降雨量预测结果分别为三宝垄气候站 129.30 mm3、艾哈迈德-亚尼 121.40 mm3 和丹戎马斯 111.00 mm3。这项研究的结果可作为政府及早发现极端降雨可能性的备选方案。
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MAX-STABLE PROCESS WITH GEOMETRIC GAUSSIAN MODEL ON RAINFALL DATA IN SEMARANG CITY
Spatial extreme value (SEV) is a statistical technique for modeling extreme events at multiple locations with spatial dependencies between locations. High intensity rainfall can cause disasters such as floods and landslides. Rainfall modelling is needed as an early detection step. SEV was developed from the univariate Extreme Value Theory (EVT) method to become multivariate. This work uses the SEV approach, namely the Max-stable process, which is an extension of the multivariate EVT into infinite dimensions. There are 4 Max-stable process models, namely Smith, Schlater, Brown Resnik, and Geometric Gaussian, which have the Generalized Extreme Value (GEV) distribution. This study models extreme rainfall, using rainfall data in the city of Semarang. This research was carried out by modeling data using the Geometric Gaussian model. This method is developed from the Smith and Schlater model, so this model can get better modeling results than the previous model. The maximum extreme rainfall prediction results for the next two periods are Semarang climatology station 129.30 mm3, Ahmad Yani 121.40 mm3, and Tanjung Mas 111.00 mm3. The result from this study can be used as an alternative for the government for early detection of the possibility of extreme rainfall.
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