Water Resources Management

, Volume 22, Issue 10, pp 1381–1393 | Cite as

Pareto Random Variables for Hydrological Modeling

Article

Abstract

Motivated by hydrological problems, the exact distributions of the sum X + Y, the product X Y and the ratio X/(X + Y) are derived when X and Y are independent Pareto random variables. A detailed application of the results is provided to extreme rainfall data from Florida.

Keywords

Hydrological modeling Pareto distribution Products of random variables Ratios of random variables Sums of random variables 

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Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  1. 1.School of MathematicsUniversity of ManchesterManchesterUK
  2. 2.Department of Mathematical SciencesBall State UniversityMuncieUSA

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