- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 70 Issue: 2
- An exceedance model based on bivariate order statistics
An exceedance model based on bivariate order statistics
Authors : Ayşegül Erem
Pages : 785-795
Doi:10.31801/cfsuasmas.816462
View : 8 | Download : 4
Publication Date : 2021-12-31
Article Type : Research
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