Leverage and Influence Diagnostics for Spatial Point Processes

For a spatial point process model fitted to spatial point pattern data, we develop diagnostics for model validation, analogous to the classical measures of leverage and influence in a generalized linear model. The diagnostics can be characterized as derivatives of basic functionals of the model. The...

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Veröffentlicht in:Scandinavian journal of statistics 2013-03, Vol.40 (1), p.86-104
Hauptverfasser: BADDELEY, ADRIAN, CHANG, YA-MEI, SONG, YONG
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container_title Scandinavian journal of statistics
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creator BADDELEY, ADRIAN
CHANG, YA-MEI
SONG, YONG
description For a spatial point process model fitted to spatial point pattern data, we develop diagnostics for model validation, analogous to the classical measures of leverage and influence in a generalized linear model. The diagnostics can be characterized as derivatives of basic functionals of the model. They can also be derived heuristically (and computed in practice) as the limits of classical diagnostics under increasingly fine discretizations of the spatial domain. We apply the diagnostics to two example datasets where there are concerns about model validity.
doi_str_mv 10.1111/j.1467-9469.2011.00786.x
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subjects Average linear density
Computation
deletion derivative
Generalized linear models
Gibbs point process
Gâteaux derivative
Heuristic
Incinerators
Leverage
Parametric models
point process residuals
Poisson point process
pseudolikelihood
raised incidence model
residuals
spatial clustering
spatial covariates
Spatial models
Spatial points
Statism
Statistical estimation
Statistical methods
Statistical models
Statistics
Studies
title Leverage and Influence Diagnostics for Spatial Point Processes
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