Estimators of distance distributions for spatial patterns

S. N. Chiu and D. Stoyan

Statistica Neerlandica, 1998, vol. 52, issue 2, 239-246

Abstract: Baddeley and Gill (1994, 1996) have introduced an edge‐corrected Kaplan–Meier type estimator of the empty space function, which is very important in point process statistics. The present paper suggests a further estimator of this function, which is based on a method used by Hanisch (1984) for unbiased edge‐corrected estimation of the nearest neighbour distance distribution function. Moreover, it turns out that the Kaplan–Meier and the new estimator are closely related, since their densities are border method or minus‐sampling type estimators.

Date: 1998
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