The analysis of marked and weighted empirical processes of estimated residuals

Vanessa Berenguer-Rico (), Soren Johansen and Bent Nielsen ()
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Vanessa Berenguer-Rico: Department of Economics and Mansfield College, University of Oxford
Bent Nielsen: Department of Economics and Nuffield College, University of Oxford

No 2019-W03, Economics Papers from Economics Group, Nuffield College, University of Oxford

Abstract: 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.

Keywords: 1-step Huber-skip; Non-stationarity; Robust Statistics; Stationarity (search for similar items in EconPapers)
Pages: 29 pages
Date: 2019-04-29
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Citations: View citations in EconPapers (5)

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https://www.nuffield.ox.ac.uk/economics/Papers/2019/2019W03_VSB_EP_DP.pdf (application/pdf)

Related works:
Working Paper: The analysis of marked and weighted empirical processes of estimated residuals (2019)
Working Paper: The analysis of marked and weighted empirical processes of estimated residuals (2019)
Working Paper: The analysis of marked and weighted empirical processes of estimated residuals (2019)
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Persistent link: https://EconPapers.repec.org/RePEc:nuf:econwp:1903

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