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Rank-based inference for the single-index model

Long Feng, Changliang Zou and Zhaojun Wang

Statistics & Probability Letters, 2012, vol. 82, issue 3, 535-541

Abstract: This paper is concerned with estimating the coefficients in single-index models. We develop a robust estimator, which combines the ideas of rank-based regression inference and outer product of gradients. Both asymptotic and numerical results show that the proposed procedure has better performance than the least-squares-based method when the errors deviate from normal.

Keywords: Asymptotic efficiency; Local polynomial regression; Outer product of gradients; Wilcoxon rank loss function (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (5)

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DOI: 10.1016/j.spl.2011.11.025

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