The justification of applying a random coefficient regression model in econometric work has been discussed by numerous econometricians. Hildreth and Houck have derived a set of consistent estimators for such a model. Alternatives to these are developed but analytic attempts to ascertain the small sampling properties of these alternative estimators have not been very successful so far. A Monte Carlo experiment is made and the relative performance of these estimators is described.
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B. R. Froehlich (1973) studied this question.
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