Estimators of distance distributions for spatial patterns

Sung Nok CHIU*, D. Stoyan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

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 densiti es are border method or minus-sampling type estimators.

Original languageEnglish
Pages (from-to)239-246
Number of pages8
JournalStatistica Neerlandica
Volume52
Issue number2
DOIs
Publication statusPublished - Jul 1998

Scopus Subject Areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

User-Defined Keywords

  • Edge corrections
  • Empty space function
  • Point process

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