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Hypothesis Testing in Semiparametric and Nonparametric Models for Econometric Time Series

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Author Info
Robinson, P M

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Abstract

A restriction on a semiparametric or nonparametric econometric time series model determines the value of a finite-dimensional functional of an infinite-dimensional nuisance function. The estimate of and its estimated covariance matrix use nonparametric probability and spectral density estimation. A consequent test of the restriction is given approximate large sample justification under absolute regularity on the time series and other conditions. The methodology relates closely to recent proposals of J. L. Powell, J. H. Stock, T. M. Stoker, and P. M. Robinson in cross-sectional applications, but serial dependence generally affects the test statistic's form, as well as statistical theory. Copyright 1989 by The Review of Economic Studies Limited.

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Publisher Info
Article provided by Blackwell Publishing in its journal Review of Economic Studies.

Volume (Year): 56 (1989)
Issue (Month): 4 (October)
Pages: 511-34
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Handle: RePEc:bla:restud:v:56:y:1989:i:4:p:511-34

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  1. Burton Hollifield & Robert A. Miller & patrik Sandas, . "An Empirical Analysis of Limit Order Markets," Rodney L. White Center for Financial Research Working Papers 29-99, Wharton School Rodney L. White Center for Financial Research. [Downloadable!]
  2. Yoshihiko Nishiyama & Peter M Robinson, 2005. "The Bootstrap and the Edgeworth Correction for Semiparametric Averaged Derivatives," STICERD - Econometrics Paper Series /2005/483, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
  3. Hollifield, Burton & Miller, Robert & Sandås, Patrik, 2001. "Empirical Analysis of Limit Order Markets," CEPR Discussion Papers 2843, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
    Other versions:
  4. Kiho Jeong & Wolfgang Härdle, 2008. "A Consistent Nonparametric Test for Causality in Quantile," SFB 649 Discussion Papers SFB649DP2008-007, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  5. Aït-Sahalia, Yacine. & Bickel, Peter J. & Stoker, Thomas M., 1994. "Goodness-of-fit tests for regression using kernel methods," Working papers 3747-94., Massachusetts Institute of Technology (MIT), Sloan School of Management. [Downloadable!]
  6. Chen, songxi & Gao, Jiti & Tang, Chenghong, 2005. "A test for model specification of diffusion processes," MPRA Paper 11976, University Library of Munich, Germany, revised Feb 2007. [Downloadable!]
  7. Cheng Hsiao & Qi Li & Jeff Racine, 2006. "A Consistent Model Specification Test with Mixed Discrete and Continuous Data," IEPR Working Papers 06.47, Institute of Economic Policy Research (IEPR). [Downloadable!]
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  8. Oliver Linton, 1993. "Second Order Approximation in the Partially Linear Regression Model," Cowles Foundation Discussion Papers 1065, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  9. Y. Nishiyama & Peter Robinson, 2004. "The bootstrap and the Edgeworth correction for semiparametric averaged derivatives," CeMMAP working papers CWP12/04, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
    Other versions:
  10. Y Nishiyama & Peter M Robinson, 1999. "Studentization in Edgworth Expansions for Estimates of Semiparametric Index Models - (Now published in C Hsiao, K Morimune and J Powell (eds): Nonlinear Statistical Modeling (Festschrift for Takeshi A," STICERD - Econometrics Paper Series /1999/374, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
  11. Yanqin Fan & Qi Li, 2002. "A Consistent Model Specification Test Based On The Kernel Sum Of Squares Of Residuals," Econometric Reviews, Taylor and Francis Journals, vol. 21(3), pages 337-352. [Downloadable!] (restricted)
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