Point Process Learning estimation of bandwidth selection for the pair correlation function.

Abstract

In this master thesis I use the newly developed method of Point Process Learning (PPL) to select the bandwidth used when estimating the Pair correlation function with kernel estimation. The selection of bandwidth when using kernel estimation is non trivial as different bandwidths give different results. Cronie et. al showed in their paper that the PPL method out performed the current state of the art when selecting the bandwidth for the intensity function. In this thesis I try the method when selecting the bandwidth for the pair correlation function. The results are promising but the scale of this pilot study is not large enough to give any conclusive results.