The article develops an alternative econometric methodology to estimate a s
ystem of censored demand equations using a large cross-section data from Co
lombian urban households. The approach preserves the behavioral information
expressed by zero expenditures and conforms with the requirements imposed
by consumer theory in a way consistent with the random utility hypothesis.
We motivate the choice of the Tobit model as a statistical representation o
f consumer behavior and introduce the methodology by specifying the AIDS mo
del modified according to both a translating and scaling demographic transf
ormation. We propose to estimate each demand equation in unrestricted form
using the jackknife technique. We then recover the demand parameters imposi
ng the cross-equations restrictions by using minimum distance estimation. T
he empirical results of the censored demand system for specific households
of policy relevance are reported.