Estimators of distance distributions for spatial patterns

S. N. Chiu; D. Stoyan

doi:10.1111/1467-9574.00080

Estimators of distance distributions for spatial patterns

S. N. Chiu^*, D. Stoyan

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

16 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 language	English
Pages (from-to)	239-246
Number of pages	8
Journal	Statistica Neerlandica
Volume	52
Issue number	2
DOIs	https://doi.org/10.1111/1467-9574.00080
Publication status	Published - Jul 1998

User-Defined Keywords

Edge corrections
Empty space function
Point process

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10.1111/1467-9574.00080

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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.",

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AU - Stoyan, D.

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AB - 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.

KW - Edge corrections

KW - Empty space function

KW - Point process

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M3 - Journal article

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ER -

Estimators of distance distributions for spatial patterns

Abstract

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