On rapid change points under long memory.
Estimation of points of rapid change in the mean function m(t) is considered under long memory residuals, irregularily spaced time points and smoothly changing marginal distributions obtained by local Gaussian subordination. The approach is based on kernel estimation of derivatives of the trend func...
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ftunivwagenin:oai:library.wur.nl:wurpubs/403607 2024-01-14T10:07:18+01:00 On rapid change points under long memory. Menéndez, P. Ghosh, S. Beran, J. 2010 application/pdf https://research.wur.nl/en/publications/on-rapid-change-points-under-long-memory https://doi.org/10.1016/j.jspi.2010.04.051 en eng https://edepot.wur.nl/162508 https://research.wur.nl/en/publications/on-rapid-change-points-under-long-memory doi:10.1016/j.jspi.2010.04.051 info:eu-repo/semantics/restrictedAccess Wageningen University & Research Journal of Statistical Planning and Inference 140 (2010) 11 ISSN: 0378-3758 bandwidth selection covariate errors inference limit-theorems nonparametric regression parameter range dependence threshold time-series info:eu-repo/semantics/article Article/Letter to editor info:eu-repo/semantics/publishedVersion 2010 ftunivwagenin https://doi.org/10.1016/j.jspi.2010.04.051 2023-12-20T23:19:05Z Estimation of points of rapid change in the mean function m(t) is considered under long memory residuals, irregularily spaced time points and smoothly changing marginal distributions obtained by local Gaussian subordination. The approach is based on kernel estimation of derivatives of the trend function. An asymptotic expression for the mean squared error is obtained. Limit theorems are derived for derivatives of m and the time points where rapid change occurs. The results are illustrated by an application to measurements of oxygen isotopes trapped in the Greenland ice sheets during the last 20,000 years. (C) 2010 Elsevier B.V. All rights reserved. Article in Journal/Newspaper Greenland Wageningen UR (University & Research Centre): Digital Library Greenland Journal of Statistical Planning and Inference 140 11 3343 3354 |
institution |
Open Polar |
collection |
Wageningen UR (University & Research Centre): Digital Library |
op_collection_id |
ftunivwagenin |
language |
English |
topic |
bandwidth selection covariate errors inference limit-theorems nonparametric regression parameter range dependence threshold time-series |
spellingShingle |
bandwidth selection covariate errors inference limit-theorems nonparametric regression parameter range dependence threshold time-series Menéndez, P. Ghosh, S. Beran, J. On rapid change points under long memory. |
topic_facet |
bandwidth selection covariate errors inference limit-theorems nonparametric regression parameter range dependence threshold time-series |
description |
Estimation of points of rapid change in the mean function m(t) is considered under long memory residuals, irregularily spaced time points and smoothly changing marginal distributions obtained by local Gaussian subordination. The approach is based on kernel estimation of derivatives of the trend function. An asymptotic expression for the mean squared error is obtained. Limit theorems are derived for derivatives of m and the time points where rapid change occurs. The results are illustrated by an application to measurements of oxygen isotopes trapped in the Greenland ice sheets during the last 20,000 years. (C) 2010 Elsevier B.V. All rights reserved. |
format |
Article in Journal/Newspaper |
author |
Menéndez, P. Ghosh, S. Beran, J. |
author_facet |
Menéndez, P. Ghosh, S. Beran, J. |
author_sort |
Menéndez, P. |
title |
On rapid change points under long memory. |
title_short |
On rapid change points under long memory. |
title_full |
On rapid change points under long memory. |
title_fullStr |
On rapid change points under long memory. |
title_full_unstemmed |
On rapid change points under long memory. |
title_sort |
on rapid change points under long memory. |
publishDate |
2010 |
url |
https://research.wur.nl/en/publications/on-rapid-change-points-under-long-memory https://doi.org/10.1016/j.jspi.2010.04.051 |
geographic |
Greenland |
geographic_facet |
Greenland |
genre |
Greenland |
genre_facet |
Greenland |
op_source |
Journal of Statistical Planning and Inference 140 (2010) 11 ISSN: 0378-3758 |
op_relation |
https://edepot.wur.nl/162508 https://research.wur.nl/en/publications/on-rapid-change-points-under-long-memory doi:10.1016/j.jspi.2010.04.051 |
op_rights |
info:eu-repo/semantics/restrictedAccess Wageningen University & Research |
op_doi |
https://doi.org/10.1016/j.jspi.2010.04.051 |
container_title |
Journal of Statistical Planning and Inference |
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140 |
container_issue |
11 |
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3343 |
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3354 |
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1788061711059648512 |