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I have the following problem: I have a time series with counted data. I now want to smooth it using a Gaussian low-pass filter. Is there a method to determine the sigma value? The window should have a size of 365. The data set contains 2191 entries.

In the present study, from which I got the idea, only the filter weights are mentioned. Is this perhaps what is meant by this? It was described with: "required filter weights can be calculated from the standardized normal distribution and its density function". If so, how should this work (I get at the end a function and not a discrete value that I can use for sigma)?

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