Estimation of Engel Curves from Survey Data with Zero Expenditures*

Abstract

The objective of this article is to propose a Bayesian method for estimating a system of Engel functions using survey data that include zero expenditures. We deal explicitly with the problem of zero expenditures in the model and estimate a system of Engel functions that satisfy the adding-up condition. Furthermore, using Markov chain Monte Carlo method, we estimate unobservable parameters, including consumption of commodities, total consumption and equivalence scale, and use their posterior distributions to calculate inequality measures and total consumption elasticities.