Title: A multivariate copula-based SUR probit model: application to insolvency probability of enterprises

Authors: Paravee Maneejuk; Chalerm Jaitang; Woraphon Yamaka

Addresses: Center of Excellence in Econometrics, Faculty of Economics, Chiang Mai University, Thailand ' Faculty of Economics, Prince of Songkla University, Song Khla, Thailand ' Center of Excellence in Econometrics, Faculty of Economics, Chiang Mai University, Thailand

Abstract: The purpose of this study is to introduce a more flexible joint distribution for a probit model with more than two equations, or a so-called SUR probit model. The main idea of the suggested method is to use a multivariate copula to link the errors of equations in the SUR probit model. We conduct a simulation study to assess the performance of the model and then apply the model to a real economic problem that is the insolvency probability of small and medium enterprises in Thailand. This study considers three economic sectors and speculates some dependencies among them. The results obtained from the copula-based SUR probit model can show a better performance in both simulation and application studies. In addition, it is found to be suitable for explaining the causal effect of the companies' financial statements on their insolvency probability and challenged results for the Thai enterprises are brought out.

Keywords: multivariate copula; multivariate probit model; small and medium enterprises; financial statements; insolvency probability.

DOI: 10.1504/IJDMMM.2021.118025

International Journal of Data Mining, Modelling and Management, 2021 Vol.13 No.3, pp.268 - 282

Received: 02 Jan 2020
Accepted: 06 Apr 2020

Published online: 08 Oct 2021 *

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