2007•EnvironmetricsRequires access

Generalized Pareto models with application to drought data

Saralees Nadarajah

Abstract

Abstract Generalized Pareto distributions are some of the most applied distributions in environmental sciences. In this paper, a drought application is described by deriving the exact distributions of the sum X + Y, the product XY, and the ratio X/(X + Y) when X and Y are independent generalized Pareto random variables. Drought data from the State of Nebraska are used. Copyright © 2007 John Wiley & Sons, Ltd.

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Key concepts: Generalized Pareto distribution, Pareto principle, Lomax distribution, Mathematics, Pareto distribution, Pareto interpolation, Product (mathematics), Applied mathematics