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Asymptotic Efficiency in Parametric Structural Models with Parameter-Dependent Support

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Author Info
Keisuke Hirano
Jack R. Porter

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Abstract

In certain auction, search, and related models, the boundary of the support of the observed data depends on some of the parameters of interest. For such nonregular models, standard asymptotic distribution theory does not apply. Previous work has focused on characterizing the nonstandard limiting distributions of particular estimators in these models. In contrast, we study the problem of constructing efficient point estimators. We show that the maximum likelihood estimator is generally inefficient, but that the Bayes estimator is efficient according to the local asymptotic minmax criterion for conventional loss functions. We provide intuition for this result using Le Cam's limits of experiments framework. Copyright The Econometric Society 2003.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 71 (2003)
Issue (Month): 5 (09)
Pages: 1307-1338
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Handle: RePEc:ecm:emetrp:v:71:y:2003:i:5:p:1307-1338

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  1. Tong Li & Xiaoyong Zheng, 2006. "Entry and competition effects in first-price auctions: theory and evidence from procurement auctions," CeMMAP working papers CWP13/06, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
  2. Tong Li, 2006. "Simulation based selection of competing structural econometric models," CeMMAP working papers CWP16/06, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
  3. Michael Jansson, 2007. "Semiparametric Power Envelopes for Tests of the Unit Root Hypothesis," CREATES Research Papers 2007-12, School of Economics and Management, University of Aarhus. [Downloadable!]
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  4. Patrick Bayer & Shakeeb Khan & Christopher Timmins, 2008. "Nonparametric Identification and Estimation in a Generalized Roy Model," NBER Working Papers 13949, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Joris Pinkse & Margaret Slade, 2007. "Semi-structural models of advertising competition," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(7), pages 1227-1246. [Downloadable!]
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