Perfect Simulation for Spatial Point Processes
نویسنده
چکیده
منابع مشابه
Èööö Blockinø Ååøöóôóðð×¹àà×øøòò× ××ñùððøøóò Óó Ðó Blockin Blockinððý ×øøøðð Ôóóòø Ôöó Blockin Blockin×××× Perfect Metropolis-hastings Simulation of Locally Stable Point Processes
In this paper we investigate the application of perfect simulation, in particular Coupling from The Past (CFTP), to the simulation of random point processes. We give a general formulation of the method of dominated CFTP and apply it to the problem of perfect simulation of general locally stable point processes as equilibrium distributions of spatial birth-and-death processes. We then investigat...
متن کاملPerfect Simulation of Spatial Point Processes Using Dominated Coupling from the past with Application to a Multiscale Area-interaction Point Process
We consider perfect simulation algorithms for locally stable point processes based on dominated coupling from the past. A new version of the algorithm is developed which is feasible for processes which are neither purely attractive nor purely repulsive. Such processes include multiscale area-interaction processes, which are capable of modelling point patterns whose clustering structure varies a...
متن کاملSpatial point processes and the projection method
The projection method obtains non-trivial point processes from higher dimensional Poisson point processes by constructing a random subset of the higher dimensional space and projecting the points of the Poisson process lying in that set onto the lower dimensional region. This paper presents a review of this method related to spatial point processes as well as some examples of its applications. ...
متن کاملPerfect simulation of point patterns from noisy observations
The paper is concerned with the Bayesian analysis of point processes which are observed with noise. It is shown how to produce exact samples from the posterior distribution of the unobserved true point pattern given a noisy observation. The algorithm is a perfect simulation method which applies dominated Coupling From The Past (CFTP) to a spatial birth-and-death process. Dominated CFTP is made ...
متن کاملBayesian analysis of Markov point processes
Recently Møller, Pettitt, Berthelsen and Reeves [17] introduced a new MCMC methodology for drawing samples from a posterior distribution when the likelihood function is only specified up to a normalising constant. We illustrate the method in the setting of Bayesian inference for Markov point processes; more specifically we consider a likelihood function given by a Strauss point process with pri...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997