Statistical reconstruction of random point patterns

A. Tscheschel; D. Stoyan

doi:10.1016/j.csda.2005.09.007

Statistical reconstruction of random point patterns

A. Tscheschel^*
, D. Stoyan

^*Corresponding author for this work

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

59 Citations (Scopus)

Abstract

A general reconstruction method is described which simulates point patterns possessing prescribed summary characteristics, which are free of explicit model conditions. The characteristics are for instance the intensity, the L-function, the spherical contact distribution function and the kth nearest neighbour distance distributions. The use of the statistical reconstruction method is demonstrated on both a theoretical and practical example.

Original language	English
Pages (from-to)	859-871
Number of pages	13
Journal	Computational Statistics and Data Analysis
Volume	51
Issue number	2
DOIs	https://doi.org/10.1016/j.csda.2005.09.007
Publication status	Published - 15 Nov 2006
Externally published	Yes

User-Defined Keywords

Conditional simulation
kth Nearest neighbour distance distribution
L-Function
Spherical contact distribution
Reconstruction
Point process

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10.1016/j.csda.2005.09.007

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title = "Statistical reconstruction of random point patterns",

abstract = "A general reconstruction method is described which simulates point patterns possessing prescribed summary characteristics, which are free of explicit model conditions. The characteristics are for instance the intensity, the L-function, the spherical contact distribution function and the kth nearest neighbour distance distributions. The use of the statistical reconstruction method is demonstrated on both a theoretical and practical example.",

keywords = "Conditional simulation, kth Nearest neighbour distance distribution, L-Function, Spherical contact distribution, Reconstruction, Point process",

author = "A. Tscheschel and D. Stoyan",

note = "Funding Information: We thank the anonymous referees for helpful comments and suggestions. The first author thanks for financial support by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project Numbers HKBU2048/02P and HKBU200503). Publisher copyright: {\textcopyright} 2005 Elsevier B.V. All rights reserved.",

year = "2006",

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doi = "10.1016/j.csda.2005.09.007",

language = "English",

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journal = "Computational Statistics and Data Analysis",

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TY - JOUR

T1 - Statistical reconstruction of random point patterns

AU - Tscheschel, A.

AU - Stoyan, D.

N1 - Funding Information: We thank the anonymous referees for helpful comments and suggestions. The first author thanks for financial support by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project Numbers HKBU2048/02P and HKBU200503). Publisher copyright: © 2005 Elsevier B.V. All rights reserved.

PY - 2006/11/15

Y1 - 2006/11/15

N2 - A general reconstruction method is described which simulates point patterns possessing prescribed summary characteristics, which are free of explicit model conditions. The characteristics are for instance the intensity, the L-function, the spherical contact distribution function and the kth nearest neighbour distance distributions. The use of the statistical reconstruction method is demonstrated on both a theoretical and practical example.

AB - A general reconstruction method is described which simulates point patterns possessing prescribed summary characteristics, which are free of explicit model conditions. The characteristics are for instance the intensity, the L-function, the spherical contact distribution function and the kth nearest neighbour distance distributions. The use of the statistical reconstruction method is demonstrated on both a theoretical and practical example.

KW - Conditional simulation

KW - kth Nearest neighbour distance distribution

KW - L-Function

KW - Spherical contact distribution

KW - Reconstruction

KW - Point process

UR - https://www.scopus.com/pages/publications/33747113791

U2 - 10.1016/j.csda.2005.09.007

DO - 10.1016/j.csda.2005.09.007

M3 - Journal article

AN - SCOPUS:33747113791

SN - 0167-9473

VL - 51

SP - 859

EP - 871

JO - Computational Statistics and Data Analysis

JF - Computational Statistics and Data Analysis

IS - 2

ER -

Statistical reconstruction of random point patterns

Abstract

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