2018
DOI: 10.7546/crabs.2019.01.06
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Theil–Sen Estimator vs. Ordinary Least Squares — Trend Analysis for Selected ETCCDI Climate Indices

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Cited by 30 publications
(20 citation statements)
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“…Our working group has previous, partially project-driven, experience with CIsbased analysis [4][5][6]. The present study is a natural continuation of our recent efforts, documented in [7,8].…”
Section: Introductionmentioning
confidence: 85%
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“…Our working group has previous, partially project-driven, experience with CIsbased analysis [4][5][6]. The present study is a natural continuation of our recent efforts, documented in [7,8].…”
Section: Introductionmentioning
confidence: 85%
“… , meaning that it can tolerate arbitrary corruption of up to 29.3 % of the input data-points without degradation of its accuracy [23]. The performance of both regression methods, LSE and TSE, for trend estimation of meteorological data is assessed in [4]. Among other findings, it is revealed that in certain cases the LSE could produce trend slope even with wrong sign.…”
Section: Methodsmentioning
confidence: 99%
“…TS is used to compute the magnitude of the trend. It is more robust than the linear regression since it limits the influence of outliers and performs better even for the case of normally distributed data (Gujarati, 2009;Chervenkov and Slavov, 2019). According to TS method, the overall slope S Ã is the median of N values of slope S and is given by…”
Section: Theil Sen's Slope (Ts)mentioning
confidence: 99%
“…The magnitude of the trend is estimated by the Theil-Sen Estimator (TSE), which is preferably used in many geophysical and engineering branches as a superior alternative of the ordinary least squares [8]. The statistical significance is analysed with the Mann-Kendall (MK) test.…”
Section: Trend Analysismentioning
confidence: 99%