Comparative study of copula families via simulations

Authors

  • Ricardo Tavares Antunes de Oliveira Professor do Instituto Federal de Mato Grosso do Sul (IFMS) https://orcid.org/0000-0001-5180-9430
  • Thaíze Fernandes O. de Assis Professora Efetiva da Diretoria Acadêmica de Ciências (IFRN-CNAT-DIAC).
  • Paulo Renato Alves Firmino Professor Adjunto do Centro de Ciência e Tecnologia (UFRCA). https://orcid.org/0000-0002-3308-2650
  • Tiago Alessandro Espínola Ferreira Professor Adjunto do Departamento de Estatística e Informática da Universidade Federal Rural de Pernambuco (UFRPE-DEINFO). https://orcid.org/0000-0002-2131-9825

Abstract

This paper provides an introduction to copulas models, specifically the empirical  and semi-empirical copulas, dedicated to evaluate the advantages and disadvantages of adopting empirical copulas, based on nonparametric marginal distributions of the involved variables, and the semiempirical which resort to parametric adjustments for the marginals distributions. Simulation data from linear and non-linear dependent variables, as well as independent variables that follow exponential distributions, illustrate the similarities between these alternatives of copulas models. It is evident from the study, the good results of the empirical copula in relation to the semi-empirical, as well as the need for more in-depth studies on the contributions of copulas models.

Published

13-09-2021

How to Cite

Tavares Antunes de Oliveira, R., Fernandes O. de Assis, T., Firmino, P. R. A., & Ferreira, T. A. E. (2021). Comparative study of copula families via simulations. Sigmae, 10(1), 63–81. Retrieved from https://publicacoes.unifal-mg.edu.br/revistas/index.php/sigmae/article/view/436

Issue

Section

Probability and Statistics