Estimation of the intensity of a Poisson point process by means of nearest neighbor distances

V. Granville

Statistica Neerlandica, 1998, vol. 52, issue 1, 112-124

Abstract: A new unbiased consistent asymptotically normal estimator Uk of the intensity λ of a stationary multivariate Poisson point process is exhibited. This estimate is based on a combination of the j‐th nearest neighbor (possibly non Euclidean) distances (j=1, ..., k) to a single fixed site x. A simple closed form containing logarithmic terms is obtained for E(Ulk)(0

Date: 1998
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