ArcGIS Spatial Statistics: Distance to 3rd/4th/5th closest feature

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We have an algorithm which requires us to produce a score based on the distance from any given cell in an output raster to a score calculated from the distances of the 3rd closest, 4th closest, and 5th closest point features in a separate feature class.

For example, our score might be calculated as score=a/(3c+4d+5e), where a is a constant and c, d, and e are the (Euclidean) distances to the 3rd closest, 4th closest, and 5th closest points on the input feature class, respectively.

Can anyone point me in the direction of how to write a custom function to calculate such a cell statistic? I have looked at the various Proximity Analysis functions, but they all seem to leave no room for defining custom scoring metrics.

Thanks!



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