An exceedance model based on bivariate order statistics
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Date
2021
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Ankara Üniversitesi
Abstract
In hydrologic risk analysis, the use of exceedance statistics are very important. In this sense, we construct a random threshold model based on bivariate order statistics. The exact distribution of exceedance statistics is calculated under some well-known copulas such as independent and Farlie-Gumbel-Morgenstern (FGM) copulas. Furthermore, numerical results are provided for expected value and variance of exceedance statistics under independent and Farlie-Gumbel-Morgenstern copulas. The application of the model in hydrology is also discussed.
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Keywords
Exceedance Probability, bivariate order statistics, bivariate distributions, random threshold model, hydrologic risk