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The Stata Journal
Volume 16 Number 1: pp. 159-184

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bicop: A command for fitting bivariate ordinal regressions with residual dependence characterized by a copula function and normal mixture marginals

Mónica Hernández-Alava
School of Health and Related Research (ScHARR)
Health Economics and Decision Science
University of Sheffield
Sheffield, UK
Stephen Pudney
Institute for Social and Economic Research (ISER)
University of Essex
Colchester, UK
Abstract.  In this article, we describe a new Stata command, bicop, for fitting a model consisting of a pair of ordinal regressions with a flexible residual distribution, with each marginal distribution specified as a two-part normal mixture, and stochastic dependence governed by a choice of copula functions. The bicop command generalizes the existing biprobit and bioprobit commands, which assume a bivariate normal residual distribution. We present and explain the bicop estimation command and the available postestimation commands using data on financial well-being from the UK Understanding Society Panel Survey.
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