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Tests for independence in nonparametric regression

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  • Einmahl, J.H.J.

    (Tilburg University)

  • Keilegom, I. van

Abstract

Consider the nonparametric regression model Y = m(X)+e, where the function m is smooth, but unknown.We construct tests for the independence of e and X, based on n independent copies of (X; Y ).The testing procedures are based on differences of neighboring Y 's.We establish asymptotic results for the proposed tests statistics, investigate their finite sample properties through a simulation study and present an econometric application to household data.The proofs are based on delicate empirical process theory.

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Bibliographic Info

Paper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-192434.

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Date of creation: 2008
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Publication status: Published in Statistica Sinica (2008) v.18, p.601-615
Handle: RePEc:ner:tilbur:urn:nbn:nl:ui:12-192434

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Web page: http://www.tilburguniversity.edu/

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  1. Nagel, Eva-Renate & Dette, Holger & Neumeyer, Natalie, 2004. "Bootstrap tests for the error distribution in linear and nonparametric regression models," Technical Reports 2004,38, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
  2. Adang, P.J.M. & Melenberg , B., 1995. "Nonnegativity constraints and intratemporal uncertainty in multi-good life-cycle models," Open Access publications from Tilburg University urn:nbn:nl:ui:12-383455, Tilburg University.
  3. Adang, Pim & Melenberg, Bertrand, 1995. "Nonnegativity Constraints and Intratemporal Uncertainty in a Multi-good Life-Cycle Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(1), pages 1-15, Jan.-Marc.
  4. Lee, Byung-Joo, 1992. "A Heteroskedasticity Test Robust to Conditional Mean Misspecification," Econometrica, Econometric Society, vol. 60(1), pages 159-71, January.
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Cited by:
  1. Florens, Jean-Pierre & Simar, Léopold & Van Keilegom, Ingrid, 2014. "Frontier estimation in nonparametric location-scale models," Journal of Econometrics, Elsevier, vol. 178(P3), pages 456-470.
  2. Hlávka, Zdenek & Husková, Marie & Meintanis, Simos G., 2011. "Tests for independence in non-parametric heteroscedastic regression models," Journal of Multivariate Analysis, Elsevier, vol. 102(4), pages 816-827, April.
  3. Einmahl, J.H.J. & Keilegom, I. van, 2006. "Goodness-of-Fit Tests in Nonparametric Regression," Discussion Paper 2006-79, Tilburg University, Center for Economic Research.
  4. Neumeyer, Natalie, 2009. "Testing independence in nonparametric regression," Journal of Multivariate Analysis, Elsevier, vol. 100(7), pages 1551-1566, August.
  5. Braekers, Roel & Van Keilegom, Ingrid, 2009. "Flexible modeling based on copulas in nonparametric median regression," Journal of Multivariate Analysis, Elsevier, vol. 100(6), pages 1270-1281, July.
  6. Einmahl, J.H.J. & Keilegom, I. van, 2008. "Specification tests in nonparametric regression," Open Access publications from Tilburg University urn:nbn:nl:ui:12-192435, Tilburg University.
  7. Cédric Heuchenne & Ingrid Keilegom, 2010. "Estimation in nonparametric location-scale regression models with censored data," Annals of the Institute of Statistical Mathematics, Springer, vol. 62(3), pages 439-463, June.
  8. Escanciano, Juan Carlos & Jacho-Chávez, David T., 2012. "n-uniformly consistent density estimation in nonparametric regression models," Journal of Econometrics, Elsevier, vol. 167(2), pages 305-316.

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