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Part Two - Applications

Published online by Cambridge University Press:  03 January 2019

Lan Zhang
Affiliation:
Texas A & M University
V. P. Singh
Affiliation:
Texas A & M University
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Summary

In this chapter, we will illustrate the application of copulas in rainfall frequency analysis. This chapter is divided into two parts: (1) rainfall depth-duration frequency (DDF) analysis; and (2) multivariate rainfall frequency (i.e., four-dimensional) analysis. The rainfall data from the watersheds in the United States are collected and applied for analyses. The Archimedean, meta-elliptical, and vine copulas are applied to model the dependence among rainfall variables. Application shows that the DDF may be modeled by the Gumbel–Hougaard copula. Both vine and meta-elliptical copulas may be applied to model the spatial dependence of rainfall variables. Compared to the vine copula, modeling is easier to do when applying the meta-elliptical copula.

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  • Applications
  • Lan Zhang, Texas A & M University, V. P. Singh, Texas A & M University
  • Book: Copulas and their Applications in Water Resources Engineering
  • Online publication: 03 January 2019
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  • Applications
  • Lan Zhang, Texas A & M University, V. P. Singh, Texas A & M University
  • Book: Copulas and their Applications in Water Resources Engineering
  • Online publication: 03 January 2019
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Applications
  • Lan Zhang, Texas A & M University, V. P. Singh, Texas A & M University
  • Book: Copulas and their Applications in Water Resources Engineering
  • Online publication: 03 January 2019
Available formats
×