Many practical studies analyze semi-continuous longitudinal data using, for example, ZAIG (Zero-Adjusted Inverse Gaussian) or BEZI (Beta Zero-Inflated) models as marginal distributions. We develop herein estimating equations analogous to Liang and Zeger’s estimating equation of independence and related diagnostic techniques for regression models, with zero-inflated response variable and panel data structure. A simulation study to evaluate some properties of the estimators obtained from the estimating equations and two applications with real data are presented.
"Estimating equations and diagnostic techniques applied to zero-inflated models for panel data." Electron. J. Statist. 8 (1) 1641 - 1660, 2014. https://doi.org/10.1214/14-EJS936