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Estimation with Inequality Constraints on Parameters and Truncation of the Sampling Distribution

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Author Info
Barnett, William A.
Seck, Ousmane

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Abstract

Theoretical constraints on economic model parameters often are in the form of inequality restrictions. For example, many theoretical results are in the form of monotonicity or nonnegativity restrictions. Inequality constraints can truncate sampling distributions of parameter estimators, so that asymptotic normality no longer is possible. Sampling theoretic asymptotic inference is thereby greatly complicated or compromised. We use numerical methods to investigate the resulting sampling properties of inequality-constrained estimators produced by popular methods of imposing inequality constraints, with particular emphasis on the method of squaring, which is the most widely used method in the applied literature on estimating integrable neoclassical systems of demand equations. See Barnett and Binner (2004).

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File URL: http://mpra.ub.uni-muenchen.de/12500/
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File URL: http://mpra.ub.uni-muenchen.de/14987/
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Publisher Info
Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 12500.

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Date of creation: 28 Aug 2008
Date of revision: 18 Mar 2009
Handle: RePEc:pra:mprapa:12500

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Related research
Keywords: inequality constraints; truncation of sampling distribution; asymptotics; constrained estimation;

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Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Econometric and Statistical Methods; Specific Distributions
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods

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  1. Barnett, William A., 1980. "Economic monetary aggregates an application of index number and aggregation theory," Journal of Econometrics, Elsevier, vol. 14(1), pages 11-48, September. [Downloadable!] (restricted)
  2. Barnett, William A., 1978. "The user cost of money," Economics Letters, Elsevier, vol. 1(2), pages 145-149. [Downloadable!] (restricted)
  3. Barnett, William A, 1977. "Recursive Subaggregation and a Generalized Hypocycloidal Demand Model," Econometrica, Econometric Society, vol. 45(5), pages 1117-36, July. [Downloadable!] (restricted)
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This page was last updated on 2009-11-29.


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