On a model of sequential point patterns

V Shcherbakov

doi:10.1007/s10463-007-0147-z

On a model of sequential point patterns

V Shcherbakov

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (SciVal)

Abstract

A finite point process motivated by the cooperative sequential adsorption model is proposed. Analytical properties of the point process are considered in details. It is shown that the introduced point process is useful for modeling both aggregated and regular point patterns. A possible scheme of maximum likelihood estimation of the process parameters is briefly discussed.

Original language	English
Pages (from-to)	371-390
Number of pages	20
Journal	Annals of the Institute of Statistical Mathematics
Volume	61
Issue number	2
DOIs	https://doi.org/10.1007/s10463-007-0147-z
Publication status	Published - 2007

Keywords

Local stability
Cooperative sequential adsorption model
MCMC methods
Maximum likelihood estimation
Finite point process

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10.1007/s10463-007-0147-z

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title = "On a model of sequential point patterns",

abstract = "A finite point process motivated by the cooperative sequential adsorption model is proposed. Analytical properties of the point process are considered in details. It is shown that the introduced point process is useful for modeling both aggregated and regular point patterns. A possible scheme of maximum likelihood estimation of the process parameters is briefly discussed.",

keywords = "Local stability, Cooperative sequential adsorption model, MCMC methods, Maximum likelihood estimation, Finite point process",

author = "V Shcherbakov",

year = "2007",

doi = "10.1007/s10463-007-0147-z",

language = "English",

volume = "61",

pages = "371--390",

journal = "Annals of the Institute of Statistical Mathematics",

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number = "2",

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T1 - On a model of sequential point patterns

AU - Shcherbakov, V

PY - 2007

Y1 - 2007

N2 - A finite point process motivated by the cooperative sequential adsorption model is proposed. Analytical properties of the point process are considered in details. It is shown that the introduced point process is useful for modeling both aggregated and regular point patterns. A possible scheme of maximum likelihood estimation of the process parameters is briefly discussed.

AB - A finite point process motivated by the cooperative sequential adsorption model is proposed. Analytical properties of the point process are considered in details. It is shown that the introduced point process is useful for modeling both aggregated and regular point patterns. A possible scheme of maximum likelihood estimation of the process parameters is briefly discussed.

KW - Local stability

KW - Cooperative sequential adsorption model

KW - MCMC methods

KW - Maximum likelihood estimation

KW - Finite point process

UR - http://dx.doi.org/10.1007/s10463-007-0147-z

U2 - 10.1007/s10463-007-0147-z

DO - 10.1007/s10463-007-0147-z

M3 - Article

VL - 61

SP - 371

EP - 390

JO - Annals of the Institute of Statistical Mathematics

JF - Annals of the Institute of Statistical Mathematics

IS - 2

ER -

On a model of sequential point patterns

Abstract

Keywords

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