A general location model with zero-inflated counts and skew normal outcomes

This paper proposes an extension of the general location model using a joint model for analyzing inflated counting outcomes and skew continuous outcomes. A zero-inflated binomial with batches of binomials or a zero-inflated Poisson with batches of Poissons is proposed for counting outcome and a skew normal distribution is assumed for continuous outcome. The EM algorithm is developed for estimation of parameters. The accuracy of estimations is evaluated using a simulation study. An application of our models for joint analysis of the number of cigarettes smoked per day and the weights of respondents for the American's Changing Lives study is enclosed.