When the sampling window for a point pattern is unknown, it can be estimated from the data. A common error is to assume that
is the smallest rectangle that contains the data points, or is the convex hull that encloses the data points (Baddeley, 2010). Either choice is an underestimate of the true region
and usually yields an overestimate of the point process intensity
or summary statistics such as the K function. The Ripley-Rasson window estimator is an estimate of the spatial window from
which the points were drawn (Ripley and Rasson, 1977). For estimating a rectangular study region, the Ripley-Rasson estimate is the rescaled copy of the minimum bounding box
of the collection of points, centered at the box’s centroid and expanded using a scaling factor of
, where n is the number of data points.