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Classical Laplace estimation for n3-consistent estimators: Improved convergence rates and rate-adaptive inference

Sung Jae Jun, Joris Pinkse and Yuanyuan Wan

Journal of Econometrics, 2015, vol. 187, issue 1, 201-216

Abstract: We propose a classical Laplace estimator alternative for a large class of n3-consistent estimators, including isotonic regression, monotone hazard, and maximum score estimators. The proposed alternative provides a unified method of smoothing; easier computation is a byproduct in the maximum score case. Depending on input parameter choice and smoothness, the convergence rate of our estimator varies between n3 and (almost) n and its limit distribution varies from Chernoff to normal. We provide a bias reduction method and an inference procedure which automatically adapts to the correct convergence rate and limit distribution.

Keywords: Laplace estimation; n3-consistent estimators; Rate-adaptive inference (search for similar items in EconPapers)
JEL-codes: C13 C14 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:187:y:2015:i:1:p:201-216

DOI: 10.1016/j.jeconom.2015.01.005

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Journal of Econometrics is currently edited by T. Amemiya, A. R. Gallant, J. F. Geweke, C. Hsiao and P. M. Robinson

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