Detecting trends in time series of functional data: A study of Antarctic climate change
Abstract The Spanish Antarctic Station Juan Carlos I has been registering surface air temperatures with the frequency of one reading per 10 min since the austral summer 1987–1988. Although this data set contains valuable information about the climate patterns in and around Antarctica, it has not bee...
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crwiley:10.1002/cjs.11231 2024-09-30T14:25:53+00:00 Detecting trends in time series of functional data: A study of Antarctic climate change Fraiman, Ricardo Justel, Ana Liu, Regina Llop, Pamela 2014 http://dx.doi.org/10.1002/cjs.11231 https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fcjs.11231 https://onlinelibrary.wiley.com/doi/pdf/10.1002/cjs.11231 en eng Wiley http://onlinelibrary.wiley.com/termsAndConditions#vor Canadian Journal of Statistics volume 42, issue 4, page 597-609 ISSN 0319-5724 1708-945X journal-article 2014 crwiley https://doi.org/10.1002/cjs.11231 2024-09-11T04:15:09Z Abstract The Spanish Antarctic Station Juan Carlos I has been registering surface air temperatures with the frequency of one reading per 10 min since the austral summer 1987–1988. Although this data set contains valuable information about the climate patterns in and around Antarctica, it has not been utilized in any existing climate studies thus far because of the concern of its substantial missing data caused by the difficulty in collecting data in the extreme winter weather conditions there. Such data sets do not fit the standard setting covered by the existing times series techniques. However, by treating the temperature readings for each summer as a function, the temperature data can be viewed as a time series of functional data. We introduce new notions of increasing trends for general time series of functional data based on the so‐called record functions , and also develop useful nonparametric tests for such trends. Following our analysis, the data collected from Juan Carlos I Station exhibit an increasing trend in the Antarctic temperature. The Canadian Journal of Statistics 42: 597–609; 2014 © 2014 Statistical Society of Canada Article in Journal/Newspaper Antarc* Antarctic Antarctica Wiley Online Library Antarctic The Antarctic Austral Canada Canadian Journal of Statistics 42 4 597 609 |
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Wiley Online Library |
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English |
description |
Abstract The Spanish Antarctic Station Juan Carlos I has been registering surface air temperatures with the frequency of one reading per 10 min since the austral summer 1987–1988. Although this data set contains valuable information about the climate patterns in and around Antarctica, it has not been utilized in any existing climate studies thus far because of the concern of its substantial missing data caused by the difficulty in collecting data in the extreme winter weather conditions there. Such data sets do not fit the standard setting covered by the existing times series techniques. However, by treating the temperature readings for each summer as a function, the temperature data can be viewed as a time series of functional data. We introduce new notions of increasing trends for general time series of functional data based on the so‐called record functions , and also develop useful nonparametric tests for such trends. Following our analysis, the data collected from Juan Carlos I Station exhibit an increasing trend in the Antarctic temperature. The Canadian Journal of Statistics 42: 597–609; 2014 © 2014 Statistical Society of Canada |
format |
Article in Journal/Newspaper |
author |
Fraiman, Ricardo Justel, Ana Liu, Regina Llop, Pamela |
spellingShingle |
Fraiman, Ricardo Justel, Ana Liu, Regina Llop, Pamela Detecting trends in time series of functional data: A study of Antarctic climate change |
author_facet |
Fraiman, Ricardo Justel, Ana Liu, Regina Llop, Pamela |
author_sort |
Fraiman, Ricardo |
title |
Detecting trends in time series of functional data: A study of Antarctic climate change |
title_short |
Detecting trends in time series of functional data: A study of Antarctic climate change |
title_full |
Detecting trends in time series of functional data: A study of Antarctic climate change |
title_fullStr |
Detecting trends in time series of functional data: A study of Antarctic climate change |
title_full_unstemmed |
Detecting trends in time series of functional data: A study of Antarctic climate change |
title_sort |
detecting trends in time series of functional data: a study of antarctic climate change |
publisher |
Wiley |
publishDate |
2014 |
url |
http://dx.doi.org/10.1002/cjs.11231 https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fcjs.11231 https://onlinelibrary.wiley.com/doi/pdf/10.1002/cjs.11231 |
geographic |
Antarctic The Antarctic Austral Canada |
geographic_facet |
Antarctic The Antarctic Austral Canada |
genre |
Antarc* Antarctic Antarctica |
genre_facet |
Antarc* Antarctic Antarctica |
op_source |
Canadian Journal of Statistics volume 42, issue 4, page 597-609 ISSN 0319-5724 1708-945X |
op_rights |
http://onlinelibrary.wiley.com/termsAndConditions#vor |
op_doi |
https://doi.org/10.1002/cjs.11231 |
container_title |
Canadian Journal of Statistics |
container_volume |
42 |
container_issue |
4 |
container_start_page |
597 |
op_container_end_page |
609 |
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1811646488751636480 |