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Edgeworth Approximations for Semiparametric Instrumental Variable Estimators and Test Statistics Author info | Abstract | Publisher info | Download info | Related research | Statistics Oliver Linton
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We stablish the validity of higher order asymptotic expansions to the distribution of a version of the nonlinear semiparametric instrumental variable considered in Newey (1990) as well as to the distribution of a Wald statistic derived from it. We emply local polynomial smoothing with variable bandwidth, which includes local linear, kernel, and [a version of] nearest neighbour estimates as special cases. Our expansions are valid to order n -? for some 0 < ? < ½, where ? depends on the smoothness and dimensionality of the data distribution and on the order of the polynomial chosen by the practitioner. We use the expansions to define optimal bandwidth selection methods for both estimation and testing problems and apply our methods to simulated data.
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Paper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Econometrics Paper Series with number
/2000/399.
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Date of creation: Jul 2000Date of revision:
Handle: RePEc:cep:stiecm:/2000/399Contact details of provider: Web page: http://sticerd.lse.ac.uk/_new/publications/default.asp
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Keywords: Bandwidth selection ; Edgeworth approximation ; instrumental viariables ; kernel estimation ; local polynomials. ; Other versions of this item:
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repec:cup:etheor:v:12:y:1996:i:1:p:30-60 is not listed on IDEAS
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1151, Cowles Foundation, Yale University.
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Hidehiko Ichimura & Oliver Linton, 2003.
"Asymptotic Expansions for Some Semiparametric Program Evaluation Estimators ,"
STICERD - Econometrics Paper Series
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University of California at San Diego, Economics Working Paper Series
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Liangjun Su & Halbert White, 2003.
"A Consistent Characteristic-Fuction-Based Test for Conditional Independence ,"
University of California at San Diego, Economics Working Paper Series
2003-11, Department of Economics, UC San Diego.
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