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math.PRDec 15, 2009
87
citations (OpenAlex)
authors
  • Christian Meyer
arXiv abstractPDF
paper

The Bivariate Normal Copula

arXiv:0912.2816 · doi:10.1080/03610926.2011.611316

Abstract

We collect well known and less known facts about the bivariate normal distribution and translate them into copula language. In addition, we prove a very general formula for the bivariate normal copula, we compute Gini's gamma, and we provide improved bounds and approximations on the diagonal.

24 pages

References in corpus (1)

  • Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t distribution

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  • Extending one-factor copulas
  • A moment-equation-copula-closure method for nonlinear vibrational systems subjected to correlated noise
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