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Using linear statistics on cyclical data can give misleading results (Mardia 1972, xviii), so this study used statistical methods developed for use with circular data.
The idea is similar to that of Tong and Lim [13], where a class of threshold autoregressive models were introduced to capture the notion of a limit cycle, which plays a key role in the modeling of cyclical data.
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The Guidelines emphasize the importance of a cyclical framework of data collection, research and monitoring to quantify and reduce the incidental mortality of seabirds in an adaptive manner.
B-splines are the common approximation system for non-cyclical non-periodic data [ 49].
You also may stabilize the variance of random or seasonal fluctuations and/or highlight cyclical patterns in the data.
As a countercheck, a "top-down" fiscal consolidation variable based on the cyclical adjustment of budgetary data is also used.
The vertical variograms can be models for most of the reservoirs in the model, despite the anisotropy and cyclical nature of the data.
Separating that subsample from the rest, it is clear that the cyclical behavior of the data after 1985 is different than it was before 1975.
When you take a Fourier transform of a time series you are implicitly assuming that the data are cyclical (i.e. that the first point is adjacent to the last point).
Grounded Theory is rooted in the cyclical process of collecting data, analyzing it, and developing a provisional coding scheme [26].
For example, Fourier smoothers are traditionally used when the data are cyclical or periodic.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com