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Modern Stochastics: Theory and Applications


A copula-based bivariate integer-valued autoregressive process with application
Volume 6, Issue 2 (2019), pp. 227–249
Pub. online: 12 March 2019      Type: Research Article      Open accessOpen Access
Received
21 August 2018
Revised
12 December 2018
Accepted
28 January 2019
Published
12 March 2019

Abstract

A bivariate integer-valued autoregressive process of order 1 (BINAR(1)) with copula-joint innovations is studied. Different parameter estimation methods are analyzed and compared via Monte Carlo simulations with emphasis on estimation of the copula dependence parameter. An empirical application on defaulted and non-defaulted loan data is carried out using different combinations of copula functions and marginal distribution functions covering the cases where both marginal distributions are from the same family, as well as the case where they are from different distribution families.

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Open access article under the CC BY license.

Keywords
Count data BINAR Poisson negative binomial distribution copula FGM copula Frank copula Clayton copula

MSC2010
60G10 62M10 62H12

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