Shot noise weighted processes : a new family of spatial point processes

M.N.M. Lieshout, van; I.S. Molchanov

doi:10.1080/15326349808807496

Shot noise weighted processes : a new family of spatial point processes

M.N.M. Lieshout, van
, I.S. Molchanov

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

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This paper proposes a new family of spatial point processes defined by their density with respect to a Poisson process on a bounded window. The density will be specified in terms of functionals of shot noise processes with various influence functions, for example the coverage function. Stability, Markov properties, stationary extensions and limit behaviour are studied. Examples and simulated realisations are given to indicate the applicability of shot noise weighted processes.

Originele taal-2	Engels
Pagina's (van-tot)	715-734
Aantal pagina's	20
Tijdschrift	Communications in Statistics. Stochastic Models
Volume	14
Nummer van het tijdschrift	3
DOI's	https://doi.org/10.1080/15326349808807496
Status	Gepubliceerd - 1998

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Shot noise weighted processes : a new family of spatial point processes

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