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An exceedance model based on bivariate order statistics
2021
Journal:  
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
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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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2021
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2021
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Article : 1.028
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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics