The analysis of marked and weighted empirical processes of estimated residuals

An extended and improved theory is presented for marked and weighted empirical processes of residuals of time series regressions. The theory is motivated by 1-step Huber-skip estimators, where a set of good observations are selected using an initial estimator and an updated estimator is found by app...

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المؤلفون الرئيسيون: Berenguer Rico, V, Nielsen, B, Johansen, S
التنسيق: Working paper
منشور في: University of Oxford 2019
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author Berenguer Rico, V
Nielsen, B
Johansen, S
author_facet Berenguer Rico, V
Nielsen, B
Johansen, S
author_sort Berenguer Rico, V
collection OXFORD
description An extended and improved theory is presented for marked and weighted empirical processes of residuals of time series regressions. The theory is motivated by 1-step Huber-skip estimators, where a set of good observations are selected using an initial estimator and an updated estimator is found by applying least squares to the selected observations. In this case, the weights and marks represent powers of the regressors and the regression errors, respectively. The inclusion of marks is a non-trivial extention to previous theory and requires refined martingale arguments.
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spelling oxford-uuid:6b690c4a-b75e-4987-88d3-e69df93f17ef2022-03-26T19:03:52ZThe analysis of marked and weighted empirical processes of estimated residualsWorking paperhttp://purl.org/coar/resource_type/c_8042uuid:6b690c4a-b75e-4987-88d3-e69df93f17efBulk import via SwordSymplectic ElementsUniversity of Oxford2019Berenguer Rico, VNielsen, BJohansen, SAn extended and improved theory is presented for marked and weighted empirical processes of residuals of time series regressions. The theory is motivated by 1-step Huber-skip estimators, where a set of good observations are selected using an initial estimator and an updated estimator is found by applying least squares to the selected observations. In this case, the weights and marks represent powers of the regressors and the regression errors, respectively. The inclusion of marks is a non-trivial extention to previous theory and requires refined martingale arguments.
spellingShingle Berenguer Rico, V
Nielsen, B
Johansen, S
The analysis of marked and weighted empirical processes of estimated residuals
title The analysis of marked and weighted empirical processes of estimated residuals
title_full The analysis of marked and weighted empirical processes of estimated residuals
title_fullStr The analysis of marked and weighted empirical processes of estimated residuals
title_full_unstemmed The analysis of marked and weighted empirical processes of estimated residuals
title_short The analysis of marked and weighted empirical processes of estimated residuals
title_sort analysis of marked and weighted empirical processes of estimated residuals
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