Convergence of posteriors for discretized log Gaussian Cox processes

Rasmus Plenge Waagepetersen

doi:10.1016/j.spl.2003.10.014

Convergence of posteriors for discretized log Gaussian Cox processes

Rasmus Plenge Waagepetersen

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

22 Citationer (Scopus)

Abstrakt

Udgivelsesdato: FEB 15

Originalsprog	Engelsk
Tidsskrift	Scandinavian Journal of Statistics
Vol/bind	66
Udgave nummer	3
Sider (fra-til)	229-235
ISSN	0303-6898
DOI	https://doi.org/10.1016/j.spl.2003.10.014
Status	Udgivet - 2004

Adgang til dokumentet

10.1016/j.spl.2003.10.014

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Citationsformater

@article{eb624400270f11db8514000ea68e967b,

title = "Convergence of posteriors for discretized log Gaussian Cox processes",

abstract = "In Markov chain Monte Carlo posterior computation for log Gaussian Cox processes (LGCPs) a discretization of the continuously indexed Gaussian field is required. It is demonstrated that approximate posterior expectations computed from discretized LGCPs converge to the exact posterior expectations when the cell sizes of the discretization tends to zero. The effect of discretization is studied in a data example.",

keywords = "point processes, Monte Carlo, Bayesian inference, discretization",

author = "Waagepetersen, {Rasmus Plenge}",

year = "2004",

doi = "10.1016/j.spl.2003.10.014",

language = "English",

volume = "66",

pages = "229--235",

journal = "Scandinavian Journal of Statistics",

issn = "0303-6898",

publisher = "Wiley-Blackwell",

number = "3",

}

TY - JOUR

T1 - Convergence of posteriors for discretized log Gaussian Cox processes

AU - Waagepetersen, Rasmus Plenge

PY - 2004

Y1 - 2004

N2 - In Markov chain Monte Carlo posterior computation for log Gaussian Cox processes (LGCPs) a discretization of the continuously indexed Gaussian field is required. It is demonstrated that approximate posterior expectations computed from discretized LGCPs converge to the exact posterior expectations when the cell sizes of the discretization tends to zero. The effect of discretization is studied in a data example.

AB - In Markov chain Monte Carlo posterior computation for log Gaussian Cox processes (LGCPs) a discretization of the continuously indexed Gaussian field is required. It is demonstrated that approximate posterior expectations computed from discretized LGCPs converge to the exact posterior expectations when the cell sizes of the discretization tends to zero. The effect of discretization is studied in a data example.

KW - point processes

KW - Monte Carlo

KW - Bayesian inference

KW - discretization

U2 - 10.1016/j.spl.2003.10.014

DO - 10.1016/j.spl.2003.10.014

M3 - Journal article

VL - 66

SP - 229

EP - 235

JO - Scandinavian Journal of Statistics

JF - Scandinavian Journal of Statistics

SN - 0303-6898

IS - 3

ER -