scholarly journals Palm Distributions for Log Gaussian Cox Processes

2016 ◽  
Vol 44 (1) ◽  
pp. 192-203 ◽  
Author(s):  
Jean-François Coeurjolly ◽  
Jesper Møller ◽  
Rasmus Waagepetersen
Keyword(s):  
Cox Processes ◽  
Palm Distributions

scholarly journals Cox Processes Associated with Spatial Copula Observed through Stratified Sampling

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 524
Author(s):  
Walguen Oscar ◽  
Jean Vaillant
Keyword(s):  
Environmental Effects ◽  
Gaussian Copula ◽  
Spatial Dependency ◽  
Spatial Effects ◽  
Doubly Stochastic ◽  
Cox Processes ◽  
Black Leaf Streak ◽  
Spatial Random Field ◽  
Black Leaf Streak Disease ◽  
Spatial Count Data

Cox processes, also called doubly stochastic Poisson processes, are used for describing phenomena for which overdispersion exists, as well as Poisson properties conditional on environmental effects. In this paper, we consider situations where spatial count data are not available for the whole study area but only for sampling units within identified strata. Moreover, we introduce a model of spatial dependency for environmental effects based on a Gaussian copula and gamma-distributed margins. The strength of dependency between spatial effects is related with the distance between stratum centers. Sampling properties are presented taking into account the spatial random field of covariates. Likelihood and Bayesian inference approaches are proposed to estimate the effect parameters and the covariate link function parameters. These techniques are illustrated using Black Leaf Streak Disease (BLSD) data collected in Martinique island.

scholarly journals Couplings for determinantal point processes and their reduced Palm distributions with a view to quantifying repulsiveness

2021 ◽  
Vol 58 (2) ◽  
pp. 469-483
Author(s):  
Jesper Møller ◽  
Eliza O’Reilly
Keyword(s):  
Finite Number ◽  
Point Process ◽  
Point Processes ◽  
Parametric Models ◽  
Determinantal Point Processes ◽  
Determinantal Point Process ◽  
The Difference ◽  
Weaker Conditions ◽  
Palm Distributions

AbstractFor a determinantal point process (DPP) X with a kernel K whose spectrum is strictly less than one, André Goldman has established a coupling to its reduced Palm process $X^u$ at a point u with $K(u,u)>0$ so that, almost surely, $X^u$ is obtained by removing a finite number of points from X. We sharpen this result, assuming weaker conditions and establishing that $X^u$ can be obtained by removing at most one point from X, where we specify the distribution of the difference $\xi_u: = X\setminus X^u$. This is used to discuss the degree of repulsiveness in DPPs in terms of $\xi_u$, including Ginibre point processes and other specific parametric models for DPPs.

scholarly journals Ruin probabilities and aggregrate claims distributions for shot noise Cox processes

2006 ◽  
Vol 2006 (2) ◽  
pp. 86-110 ◽  
Author(s):  
Hansjörg Albrecher ◽  
S⊘ren Asmussen c
Keyword(s):  
Shot Noise ◽  
Ruin Probabilities ◽  
Cox Processes

scholarly journals lgcp: AnRPackage for Inference with Spatial and Spatio-Temporal Log-Gaussian Cox Processes

2013 ◽  
Vol 52 (4) ◽  
Author(s):  
Benjamin M. Taylor ◽  
Tilman M. Davies ◽  
Barry S. Rowlingson ◽  
Peter J. Diggle
Keyword(s):  
Cox Processes ◽  
Spatio Temporal

scholarly journals Cox Processes for Counting by Detection

2018 ◽  
Vol 61 (3) ◽  
pp. 380-393
Author(s):  
Purnima Rajan ◽  
Yongming Ma ◽  
Bruno Jedynak
Keyword(s):  
Cox Processes
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