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On the Consistency of Approximate Maximizing Estimator Sequences in the Case of Quasiconcave Functions

Kemp, GCR (2007) On the Consistency of Approximate Maximizing Estimator Sequences in the Case of Quasiconcave Functions. UNSPECIFIED. University of Essex, Department of Economics, Economics Discussion Papers 641.

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Abstract

This paper demonstrates consistency for estimators obtained by approximately maximizing a sequence of stochastic quasiconcave functions on RP that converges in probability pointwise to a non-stochastic function. In the scalar parameter case all that is necessary for consistency is that the parameter value of interest is a unique maximizer of the limiting function. However, in the vector parameter case certain further conditions on the limiting function are necessary to establish consistency. The paper also discusses the relation of these results to existing results on the consistency of estimators obtained by approximately maximizing concave functions and to the concepts of hypoconvergence and epiconvergence.

Item Type: Monograph (UNSPECIFIED)
Subjects: H Social Sciences > HB Economic Theory
Divisions: Faculty of Social Sciences > Economics, Department of
Depositing User: Jim Jamieson
Date Deposited: 17 Jul 2012 12:14
Last Modified: 17 Aug 2017 18:11
URI: http://repository.essex.ac.uk/id/eprint/2879

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