Writing `ACF` function from `statsmodels` using `autograd.numpy`

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I would like to compute the derivative of the Auto-Correlation Function (ACF) using autograd. For this reason, I need to rewrite

statsmodels.tsa.stattools.acf

using autograd.numpy. I looked at many questions on here but all the "manual" versions of ACF consistently give different results than the statsmodels function.

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