Multivariate ordinal regression models: an analysis of corporate credit ratings

Hirk, Rainer and Hornik, Kurt ORCID: and Vana, Laura (2019) Multivariate ordinal regression models: an analysis of corporate credit ratings. Statistical Methods & Applications, 28. pp. 507-539. ISSN 1618-2510

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Correlated ordinal data typically arises from multiple measurements on a collection of subjects. Motivated by an application in credit risk, where multiple credit rating agencies assess the creditworthiness of a firm on an ordinal scale, we consider multivariate ordinal regression models with a latent variable specification and correlated error terms. Two different link functions are employed, by assuming a multivariate normal and a multivariate logistic distribution for the latent variables underlying the ordinal outcomes. Composite likelihood methods, more specifically the pairwise and tripletwise likelihood approach, are applied for estimating the model parameters. Using simulated data sets with varying number of subjects, we investigate the performance of the pairwise likelihood estimates and find them to be robust for both link functions and reasonable sample size. The empirical application consists of an analysis of corporate credit ratings from the big three credit rating agencies (Standard & Poor's, Moody's and Fitch). Firm-level and stock price data for publicly traded US firms as well as an unbalanced panel of issuer credit ratings are collected and analyzed to illustrate the proposed framework.

Item Type: Article
Additional Information: The online version of this article ( contains supplementary material, which is available to authorized users.
Keywords: Composite likelihood, Credit Ratings, Financial ratios, Latent variable models, Multivariate ordered probit, Multivariate ordered logit
Divisions: Departments > Finance, Accounting and Statistics > Statistics and Mathematics
Version of the Document: Published
Depositing User: ePub Administrator
Date Deposited: 12 Sep 2018 11:59
Last Modified: 21 Jan 2021 15:02
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