Erem, Ayşegül2022-12-212022-12-212021https://doi.org/10.31801/cfsuasmas.816462http://hdl.handle.net/20.500.12575/86289In 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.enExceedance Probability, bivariate order statistics, bivariate distributions, random threshold model, hydrologic riskArticle7027857951303-5991