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Estimators of distance distributions for spatial patterns

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  • S. N. Chiu
  • D. Stoyan

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.

Suggested Citation

  • S. N. Chiu & D. Stoyan, 1998. "Estimators of distance distributions for spatial patterns," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 52(2), pages 239-246, June.
    • Handle: RePEc:bla:stanee:v:52:y:1998:i:2:p:239-246
    DOI: 10.1111/1467-9574.00080
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    Cited by:

    1. Tscheschel, André & Chiu, Sung Nok, 2008. "Quasi-plus sampling edge correction for spatial point patterns," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5287-5295, August.
    2. M. Lieshout, 2006. "A J-Function for Marked Point Patterns," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 58(2), pages 235-259, June.

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