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Partial Linear Model

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Abstract

It is popular to summarize the relationship between an outcome variable y and a vector (x, z) through a linear mean regression where the mean of y is modelled as a linear function of both x and z. A more robust specification is called for in some situations where the imposed linear relationship between (the mean of) y and z is suspect. A partially linear specification allows for a regression function that maintains linearity in x but allows the effect of z to be nonlinear. This partially linear model has been widely studied in the statistics and the semiparametric econometrics literature.

This chapter was originally published in The New Palgrave Dictionary of Economics, 2nd edition, 2008. Edited by Steven N. Durlauf and Lawrence E. Blume.

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Bibliography

  • Ahn, H., and J. Powell. 1993. Semiparametric estimation of censored selection models. Journal of Econometrics 58: 3–29.

    Article  Google Scholar 

  • Engle, R., C. Granger, C. Rice, and J. Weiss. 1986. Semiparametric estimates of the relation between weather and electricity sales. Journal of the American Statistical Association 81: 310–320.

    Article  Google Scholar 

  • Hardle, W. 1991. Applied nonparametric regression. New York: Cambridge University Press.

    Google Scholar 

  • Hardle, W., H. Liang, and J. Gao. 2001. Partially linear models (contributions to statistics). Heidelberg: Physica-Verlag.

    Google Scholar 

  • Heckman, J. 1974. Shadow wages, market wages and labor supply. Econometrica 42: 679–693.

    Article  Google Scholar 

  • Robinson, P. 1988. Root-n-consistent semiparametric regression. Econometrica 56: 931–954.

    Article  Google Scholar 

  • Schmalensee, R., and T. Stoker. 1999. Household gasoline demand in the United States. Econometrica 67: 645–662.

    Article  Google Scholar 

  • Speckman, P. 1988. Kernel Smoothing in partial linear models. Journal of the Royal Statistical Society, B 50: 413–436.

    Google Scholar 

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Tamer, E. (2008). Partial Linear Model. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95121-5_2228-1

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  • DOI: https://doi.org/10.1057/978-1-349-95121-5_2228-1

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  • Publisher Name: Palgrave Macmillan, London

  • Online ISBN: 978-1-349-95121-5

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