In this paper, we develop a new numerical method to estimate a multivariate probit model. To this end, we derive a new decomposition of normal multivariate integrals that has two appealing properties. First, the decomposition may be written as the sum of normal multivariate integrals, in which...

In this article, I discuss the methods for generating nonnegatively correlated binary random variates. I provide a new command, rbinary, with examples showing how the command can be used. Copyright 2015 by StataCorp LP.

We establish conditions for full efficiency of the maximum composite likelihood estimator, related to proportionality of the full and composite score functions. A major application is in exponential family models. An illustrative example is considered.