This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

A Bootstrap Test for Single Index Models

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Wolfgang Haerdle (Humboldt-University of Berlin)
Enno MAMMEN (Ruprecht-Karls-University Heidelberg)
Isabel Proenca (ISEG-UTL)

Additional information is available for the following registered author(s):

Abstract

Single index models are frequently used in econometrics and biometrics. Logit and Probit models are special cases with fixed link functions. In this paper we consider a bootstrap specification test that detects nonparametric deviations of the link function. The bootstrap is used with the aim to find a more accurate distribution under the null than the normal approximation. We prove that the statistic and its bootstrapped version have the same asymptotic distribution. In a simulation study we show that the bootstrap is able to capture the negative bias and the skewness of the test statistic. It yields better approximations to the true critical values and consequently it has a more accurate level and superior power properties. We propose a modification of the HH statistic which reduces considerably the dependency of the test performance on the bandwidth choice. We show that the bootstrap of this modified statistic works as well.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://129.3.20.41/eps/em/papers/0508/0508007.pdf
File Format: application/pdf
File Function:
Download Restriction: no

Publisher Info
Paper provided by EconWPA in its series Econometrics with number 0508007.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 28 pages
Date of creation: 05 Aug 2005
Date of revision:
Handle: RePEc:wpa:wuwpem:0508007

Note: Type of Document - pdf; prepared on windows; pages: 28
Contact details of provider:
Web page: http://129.3.20.41

For technical questions regarding this item, or to correct its listing, contact: (EconWPA).

Related research
Keywords: Bootstrap; kernel estimate; single index model; specification test.;

Other versions of this item:

Find related papers by JEL classification:
C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General
C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
C5 - Mathematical and Quantitative Methods - - Econometric Modeling
C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. E. MAMMEN & S. v. d. GEER, . "Penalized quasi-likelihood estimation in partial linear models," Sonderforschungsbereich 373 1996-6, Humboldt Universitaet Berlin.
  2. Horowitz, Joel L., 1993. "Semiparametric estimation of a work-trip mode choice model," Journal of Econometrics, Elsevier, vol. 58(1-2), pages 49-70, July. [Downloadable!] (restricted)
  3. Azzalini,A. & Bowman,A.W. & Haerdle,W., 1988. "On the use of nonparametric regression for model checking," Discussion Paper Serie A 195, University of Bonn, Germany.
  4. I. PROEN\c{C}A & A. WERWATZ, . "Comparing Parametric and Semiparametric Binary Response Models," Sonderforschungsbereich 373 1995-36, Humboldt Universitaet Berlin.
  5. Newey, Whitney K, 1985. "Maximum Likelihood Specification Testing and Conditional Moment Tests," Econometrica, Econometric Society, vol. 53(5), pages 1047-70, September. [Downloadable!] (restricted)
  6. Bertschek, Irene & Entorf, Horst, 1996. "On Nonparametric Estimation of the Schumpeterian Link between Innovation and Firm Size: Evidence from Belgium, France, and Germany," Empirical Economics, Springer, vol. 21(3), pages 401-26.
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Härdle, Wolfgang & Huet, Sylvie & Mammen, Enno & Sperlich, Stefan, 2001. "Bootstrap Inference in Semiparametric Generalized Additive Models," Finance Working Papers 01-3, University of Aarhus, Aarhus School of Business, Department of Business Studies. [Downloadable!]
  2. Isabel Proenca & Joao Santos Silva, 2005. "Parametric and semiparametric specification tests for binary choice models: a comparative simulation study," Econometrics 0508008, EconWPA. [Downloadable!]
Statistics
Access and download statistics

Did you know? Each page is provided with a technical contact, in case something is not right with the supplied information. See under "publisher info".

This page was last updated on 2009-11-20.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.