Lavergne, Pascal and Patilea, Valentin (2013) Smooth Minimum Distance Estimation and Testing with Conditional Estimating Equations: Uniform in Bandwidth Theory. TSE Working Paper, n. 13-404, Toulouse

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Abstract

We study the influence of a bandwidth parameter in inference with conditional estimating equations. In that aim, we propose a new class of smooth minimum distance
estimators and we develop a theory that focuses on uniformity in bandwidth. We establish a vn-asymptotic representation of our estimator as a process indexed by a
bandwidth that can vary within a wide range including bandwidths independent of the sample size. We develop an efficient version of our estimator. We also study its behavior in misspecified models. We develop a procedure based on a distance metric statistic for testing restrictions on parameters as well as a bootstrap technique to account for the bandwidth’s influence. Our new methods are simple to implement, apply to non-smooth problems, and perform well in our simulations.

Item Type: Monograph (Working Paper)
Language: English
Date: March 2013
Place of Publication: Toulouse
Uncontrolled Keywords: Semiparametric Estimation, Conditional Estimating Equations, Smoothing Methods, Asymptotic Efficiency, Hypothesis Testing, Bootstrap
JEL Classification: C12 - Hypothesis Testing
C14 - Semiparametric and Nonparametric Methods
Subjects: B- ECONOMIE ET FINANCE
Divisions: TSE-R (Toulouse)
Institution: Université Toulouse 1 Capitole
Site: UT1
Date Deposited: 09 Jul 2014 17:36
Last Modified: 02 Apr 2021 15:48
OAI Identifier: oai:tse-fr.eu:27219
URI: https://publications.ut-capitole.fr/id/eprint/15629

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