Bayesian Inference for Non-Markovian Point Processes

Bayesian Inference for Non-Markovian Point Processes (2010)

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by Peter Guttorp , Thordis L. Thorarinsdottir

BibTeX

@MISC{Guttorp10bayesianinference,
    author = {Peter Guttorp and Thordis L. Thorarinsdottir},
    title = {Bayesian Inference for Non-Markovian Point Processes},
    year = {2010}
}

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Abstract

Statistical inference for point processes originates, as pointed out by Daley and Vere-Jones (2005), in two sources: life tables, and counting phenomena. Among early sources of inferential work are Graunt, Halley and Newton in the 18th century on the life table side, and Newcomb, Abbé and Seidel in the second half of the 19th century on the counting side (for

Citations

577	Reversible Jump Markov Chains Monte Carlo computation and Bayesian model determination - Green - 1995
326	On Bayesian analysis of mixtures with an unknown number of components, with discussion - Richardson, Green - 1997
157	The Statistical Analysis of Series of Events - Cox, Lewis - 1966
96	Core Team (2009). R: A language and environment for statistical computing. R Foundation for Statistical Computing - Development
59	Non-parametric inference for a family of counting processes. Ann Stat 6: 701–726 Adami HO, Johansson ED, Vegelius J and Victor A (1979) Serum concentration of estrone, androstenedione, testosterone and sex-hormone-binding globulin in postmenopausal women - Aalen - 1978
54	Simulation of nonhomogeneous Poisson processes by thinning - Lewis, Shedler - 1979
44	Approximate Bayesian inference for latent Gaussian models using integrated nested Laplace approximations (with discussion - Rue, Martino, et al.
36	Some statistical methods connected with series of events (with discussion - Cox - 1955
36	Non-parametric Bayesian estimation of a spatial Poisson intensity - Heikkinen, Arjas - 1998
26	A kernel method for smoothing point process data - Diggle - 1985
19	Markov properties of cluster processes - Baddeley, Lieshout, et al. - 1996
19	The spectral analysis of point processes - Bartlett - 1963
19	Some tests of significance, treated by the theory of probability - Jeffreys - 1935
18	An estimating function approach to inference for inhomogeneous Neyman-Scott processes - Waagepetersen
17	Asymptotic properties of estimators for the parameters of spatial inhomogeneous poisson point processes - Cressie, Rathbun - 1994
16	An Introduction to the Theory of Point Processes. 2nd ed - Daley, Vere-Jones - 2008
15	Bayesian computation for nonhomogeneous Poisson processes in software reliability - Kuo, Yang - 1996
14	Nonparametric Bayesian estimators for counting processes - Kim - 1999
13	Bayesian nonparametric statistical inference for Poisson point processes - Lo - 1982
13	Log Gaussian Cox processes - Møller, Waagepetersen - 1998
11	Investigations into resting-state connectivity using independent component analysis - Beckmann, DeLuca, et al. - 2005
10	Seismicity analysis through point-process modeling : a review - Ogata - 1999
9	A stochastic description of precipitation - Cam - 1961
8	Bayes factor for non-homogeneous Poisson processes with vague prior information - Akman, Raftery - 1986
8	Statistical Analysis and Modelling of Spatial Point Patterns - Illian, Penttinen, et al. - 2008
8	Bayesian mixture modeling for spatial Poisson process intensities, with applications to extreme value analysis - Kottas, Sansó - 2007
8	On a class of Bayesian nonparametric estimates: II. Hazard rates estimates - Lo, Weng - 1989
6	A dynamic approach to the statistical analysis of point processes - Gamerman - 1992
6	A stochastic Geometry model for functional Magnetic resonance images Scandinavian - Hartvig
6	Likelihood-based inference for Matérn Type III Repulsive Point Processes - Huber, Wolpert
6	Likelihood-based inference for clustered line transect data - Waagepetersen, Schweder - 2006
5	Tractable nonparametric Bayesian inference in poisson processes with Gaussian process intensities - Adams, Murray, et al. - 2009
5	Dirichlet process mixtures of beta distributions, with applications to density and intensity estimation - Kottas - 2006
4	Perfect sampling for point process cluster modelling - McKeague, Loizeaux - 2002
4	Poisson point process modeling for polyphonic music transcription - Peeling, Li, et al. - 2007
4	Cluster priors in the Bayesian modelling of fMRI data - Taskinen - 2001
3	A case study on point process modelling in disease mapping. Image Analysis and Sterology - Beneš, Bodlák, et al. - 2005
3	Spatial variation, Volume 49 of Meddelanden från Statens Skogsforskningsinstitut. Stockholm: Statens Skogsforskningsinstitut - Matérn - 1960
3	Waagepetersen (2004). Statistical Inference and Simulation for Spatial Point Processes - Møller, P
2	Spatial Statistics - unknown authors - 1962
2	A stochastic cluster model of daily rainfall occurrences - Kavvas, Delleur - 1981
2	Extrapolating and interpolating spatial patterns - Lieshout, Baddeley - 2002
2	Waagepetersen (2007). Modern statistics for spatial point processes - Møller, P
2	Bayesian analysis of spatial point processes in the neighbourhood of Voronoi networks - Skare, Møller, et al. - 2007
1	Modelling strategies - Baddeley - 2010
1	Map3s/pcn acid rain precipitation monitoring data base - Gentleman, Zidek, et al. - 1985
1	Nieto-Barajas (2003). Bayesian nonparametric inference for mixed Poisson processes - Gutiérrez-Peña, E
1	Analysis of event-based precipitation data with a view toward modeling - Guttorp - 1988
1	Stochastic modeling of rainfall - Guttorp - 1996
1	Simon Newcomb–astronomer and statistician - Guttorp - 2001