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7 - Non-Archimedean Copulas

Meta-Elliptical Copulas

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

Meta-elliptical copulas are derived from elliptical distributions. Kotz and Nadarajah (2001) and Nadarajah (2006) made solutions of meta-elliptical copulas available. In this chapter, we will review the definition and probability distributions as well as other properties of meta-elliptical copulas.

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Publisher: Cambridge University Press
Print publication year: 2019

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References

Fang, H. B., Fang, K. T., and Kotz, S. (2002). The meta-elliptical distributions with given marginals. Journal of Multivariate Analysis, 82, 116.CrossRefGoogle Scholar
Genest, C., Favre, A. C., Be´liveau, J., and Jacques, C. (2007). Meta-elliptical copulas and their use in frequency analysis of multivariate hydrological data. Water Resources Research, 43, W09401, doi:10.1029/2006WR005275.CrossRefGoogle Scholar
Joe, H. (1997). Multivariate Models and Dependence Concept. Chapman & Hall, New York.Google Scholar
Kotz, S. and Nadarajah, S. (2001). Some extreme type elliptical distributions. Statistics & Probability Letters, 54, 171182.CrossRefGoogle Scholar
McNeil, A., Frey, R., and Embrechts, P. (2005). Quantitative Risk Management: Concepts, Techniques, and Tools. Princeton: Princeton University Press.Google Scholar
Nadarajah, S. ( 2006). Fisher information for the elliptically symmetric Pearson distributions. Applied Mathematics and Computation, 178, 195206.CrossRefGoogle Scholar
Nadarajah, S. (2007). A bivariate gamma model for drought. Water Resources Research, 43, W08501, doi:10.1029/2006WR005641.CrossRefGoogle Scholar
Nadarajah, S. and Kotz, S. (2005). Information matrices for some elliptically symmetric distribution. SORT, 29(1), 4356.Google Scholar
Zhang, G. (2000). Multiple complex Gauss–Legendre integral formulae and application. Journal of Lanzhou University (Natural Sciences), 36(5), 3034.Google Scholar

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  • Non-Archimedean Copulas
  • 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/10.1017/9781108565103.008
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  • Non-Archimedean Copulas
  • 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/10.1017/9781108565103.008
Available formats
×

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.

  • Non-Archimedean Copulas
  • 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/10.1017/9781108565103.008
Available formats
×