On Least Squares Estimation when the Dependent Variable is Grouped

S-Tier
Journal: Review of Economic Studies
Year: 1983
Volume: 50
Issue: 4
Pages: 737-753

Score contribution per author:

8.043 = (α=2.01 / 1 authors) × 4.0x S-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

This paper examines the problem of estimating the parameters of an underlying linear model using data in which the dependent variable is only observed to fall in a certain interval on a continuous scale, its actual value remaining unobserved. A Least Squares algorithm for attaining the Maximum Likelihood estimator is described, the asymptotic bias of the OLS estimator derived for the normal regressors case and a "moment" estimator presented. A "two-step estimator" based on combining the two approaches is proposed and found to perform well in both an economic illustration and simulation experiments.

Technical Details

RePEc Handle
repec:oup:restud:v:50:y:1983:i:4:p:737-753.
Journal Field
General
Author Count
1
Added to Database
2026-01-29