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Edgeworth expansions for errors-in-variables models

Gutti Jogesh Babu and Z. D. Bai

Journal of Multivariate Analysis, 1992, vol. 42, issue 2, 226-244

Abstract: Edgeworth expansions for sums of independent but not identically distributed multivariate random vectors are established. The results are applied to get valid Edgeworth expansions for estimates of regression parameters in linear errors-in-variable models. The expansions for studentized versions are also developed. Further, Edgeworth expansions for the corresponding bootstrapped statistics are obtained. Using these expansions, the bootstrap distribution is shown to approximate the sampling distribution of the studentized estimators, better than the classical normal approximation.

Keywords: bootstrap; Edgeworth; expansions; errors-in-variable; models; skewness (search for similar items in EconPapers)
Date: 1992
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Citations: View citations in EconPapers (1)

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