An exceedance model based on bivariate order statistics

Year 2021, Volume: 70 Issue: 2, 785 - 795, 31.12.2021

Ayşegül Erem

https://doi.org/10.31801/cfsuasmas.816462

Cited By: 2

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.

Keywords

Exceedance Probability, bivariate order statistics, bivariate distributions, random threshold model, hydrologic risk

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