Separate noise from signal if I know the noise

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eoghan
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Hi all!
I have this problem: I have some data that come from a negative binomial distribution with unknown parameters and some additive noise with gaussian distribution of known parameters.
What is the best way to remove the noise from the distribution of the data? I tried bot a very basic mean noise subtraction and a Wiener filter and they seems to work quite well, but I wonder if there are better techniques.

Thank you!
 
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Wiener is likely more appropriate than Kalman in this case.
 

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