Abstract:

The purpose of this paper is to study the theory of conservative estimating
functions in nonlinear regression model with aggregated data. In this model, a quasi-score
function with aggregated data is defined. When this function happens to be conservative, it
is projection of the true score function onto a class of estimation functions. By constructing,
the potential function for the projected score with aggregated data is obtained, which have
some properties of log-likelihood function.

Key words: Nonlinear regression model with aggregated data, quasi-score function, con-
servative vector field, potential function