Intensity estimation for inhomogeneous Gibbs point process with covariates-dependent chemical activity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10287201" target="_blank" >RIV/00216208:11320/14:10287201 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1111/stan.12030" target="_blank" >http://dx.doi.org/10.1111/stan.12030</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1111/stan.12030" target="_blank" >10.1111/stan.12030</a>

Result language
angličtina
Original language name
Intensity estimation for inhomogeneous Gibbs point process with covariates-dependent chemical activity
Original language description
Recent development of intensity estimation for inhomogeneous spatial point processes with covariates suggests that kerneling in the covariate space is a competitive intensity estimation method for inhomogeneous Poisson processes. It is not known whetherthis advantageous performance is still valid when the points interact. In the simplest common case, this happens, for example, when the objects presented as points have a spatial dimension. In this paper, kerneling in the covariate space is extended to Gibbs processes with covariates-dependent chemical activity and inhibitive interactions, and the performance of the approach is studied through extensive simulation experiments. It is demonstrated that under mild assumptions on the dependence of the intensity on covariates, this approach can provide better results than the classical nonparametric method based on local smoothing in the spatial domain. In comparison with the parametric pseudo-likelihood estimation, the nonparametric approac
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F10%2F0472" target="_blank" >GAP201/10/0472: Stochastic geometry - inhomogeneity, marking, dynamics and stereology</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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