A copula-based bivariate integer-valued autoregressive process with application

Buteikis, Andrius; Leipus, Remigijus

doi:10.15559/19-VMSTA130

Modern Stochastics: Theory and Applications

A copula-based bivariate integer-valued autoregressive process with application

Volume 6, Issue 2 (2019), pp. 227–249

Andrius Buteikis Remigijus Leipus

https://doi.org/10.15559/19-VMSTA130

Pub. online: 12 March 2019 Type: Research Article

Open 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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Keywords

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

MSC2010

60G10 62M10 62H12

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