Articles | Volume 29, issue 1
https://doi.org/10.5194/npg-29-1-2022
https://doi.org/10.5194/npg-29-1-2022
Research article
 | 
10 Jan 2022
Research article |  | 10 Jan 2022

A waveform skewness index for measuring time series nonlinearity and its applications to the ENSO–Indian monsoon relationship

Justin Schulte, Frederick Policelli, and Benjamin Zaitchik

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Latest update: 21 Jun 2024
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Short summary
The skewness of a time series is commonly used to quantify the extent to which positive (negative) deviations from the mean are larger than negative (positive) ones. However, in some cases, traditional skewness may not provide reliable information about time series skewness, motivating the development of a waveform skewness index in this paper. The waveform skewness index is used to show that changes in the relationship strength between climate time series could arise from changes in skewness.