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Second order approximation in a linear regression with heteroskedasticity of unknown form

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Author Info
Oliver Linton

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Abstract

We develop stochastic expansions with remainder [image omitted] , where 0<μ<1/2, for a standardised semiparametric GLS estimator, a standard error, and a studentized statistic, in the linear regression model with heteroskedasticity of unknown form. We calculate the second moments of the truncated expansion, and use these approximations to compare two competing estimators and to define a method of bandwidth choice.

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File URL: http://www.informaworld.com/openurl?genre=article&doi=10.1080/07474939608800336&magic=repec&7C&7C8674ECAB8BB840C6AD35DC6213A474B5
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Publisher Info
Article provided by Taylor and Francis Journals in its journal Econometric Reviews.

Volume (Year): 15 (1996)
Issue (Month): 1 ()
Pages: 1-32
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Handle: RePEc:taf:emetrv:v:15:y:1996:i:1:p:1-32

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Related research
Keywords: Semiparametric Estimation; Gls; Heteroskedasticity; Local Linear Regression; Asymptotic Expansions;

Cited by:
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  1. Peter C.B. Phillips & Binbin Guo & Zhijie Xiao, 2002. "Efficient Regression in Time Series Partial Linear Models," Cowles Foundation Discussion Papers 1363, Cowles Foundation, Yale University. [Downloadable!]
  2. Oliver Linton & Douglas G. Steigerwald, 1995. "Adaptive Testing in ARCH Models," Cowles Foundation Discussion Papers 1105, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  3. Oliver Linton, 2000. "Edgeworth Approximations for Semiparametric Instrumental Variable Estimators and Test Statistics," STICERD - Econometrics Paper Series /2000/399, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  4. Hidehiko Ichimura & Oliver Linton, 2003. "Asymptotic Expansions for Some Semiparametric Program Evaluation Estimators," STICERD - Econometrics Paper Series /2003/451, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
    Other versions:
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