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I would like to know if what I want to calulate has probability of presence/absence is valid or not, and the best way to do it.

I have a collection of points, and each point has 5 neighbors. For each point I know the probability of presence as well as for the 5 neighbor points.

NPoint1
              NPoint2              NPoint3

                   |POINT|

    NPoint4

                           NPoint5

I would like to calculate a weighted presence probability for |POINT|, by taking into account the probability and distance of each NPoint as well as the |POINT| probability

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Your question as written is a bit circular: You stated that you already know the probability for |POINT| as well as its five neighbors. In that case, you have defined away your problem.

As a variant, which may be what you meant, is the case where you dont know the probability at |POINT|, only the probabilities at NPoints 1 - 5. In this case, there is a whole field devoted to this, its called spatial interpolation. This is used extensively in environmental engineering, hydrology, and mining. In your case, you are spatially interpolating probability of presence, instead of concentration or density etc.

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