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9 - Copulas in Time Series Analysis

from Part One - Theory

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 previous chapters, we have mainly discussed copula models for bivariate/multivariate random variables. Now we ask two other questions that usually arise in hydrology and water resources engineering. Can we use the stochastic approach to predict streamflow at a downstream location using streamflow at the upstream location? If streamflow is time dependent, then it cannot be considered as a random variable as is done in frequency analysis. Can we model the temporal dependence of an at-site streamflow sequence (e.g., monthly streamflow) more robustly than with the classical time series and Markov modeling approach (e.g., modeling the nonlinearity of time series freely)? This chapter attempts to address these questions and introduces how to model a time series with the use of copula approach.

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Publisher: Cambridge University Press
Print publication year: 2019

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References

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  • Copulas in Time Series Analysis
  • 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
  • Chapter DOI: https://doi.org/10.1017/9781108565103.010
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  • Copulas in Time Series Analysis
  • 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
  • Chapter DOI: https://doi.org/10.1017/9781108565103.010
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.

  • Copulas in Time Series Analysis
  • 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
  • Chapter DOI: https://doi.org/10.1017/9781108565103.010
Available formats
×