[图书][B] Statistical inference and simulation for spatial point processes
J Moller, RP Waagepetersen - 2003 - books.google.com
Spatial point processes play a fundamental role in spatial statistics and today they are an
active area of research with many new applications. Although other published works …
active area of research with many new applications. Although other published works …
A short history of Markov chain Monte Carlo: Subjective recollections from incomplete data
C Robert, G Casella - 2011 - projecteuclid.org
We attempt to trace the history and development of Markov chain Monte Carlo (MCMC) from
its early inception in the late 1940s through its use today. We see how the earlier stages of …
its early inception in the late 1940s through its use today. We see how the earlier stages of …
[图书][B] The random-cluster model
G Grimmett - 2006 - Springer
Therandom-clustermodelwasinventedbyCees [Kees] FortuinandPietKasteleyn around 1969
as a uni? cation of percolation, Ising, and Potts models, and as an extrapolation of electrical …
as a uni? cation of percolation, Ising, and Potts models, and as an extrapolation of electrical …
Infinite systems of interacting chains with memory of variable length—a stochastic model for biological neural nets
A Galves, E Löcherbach - Journal of Statistical Physics, 2013 - Springer
We consider a new class of non Markovian processes with a countable number of
interacting components. At each time unit, each component can take two values, indicating if …
interacting components. At each time unit, each component can take two values, indicating if …
Perfect simulation using dominating processes on ordered spaces, with application to locally stable point processes
WS Kendall, J Møller - Advances in applied probability, 2000 - cambridge.org
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 …
the Past (CFTP), to the simulation of random point processes. We give a general formulation …
The random-cluster model
G Grimmett - Probability on discrete structures, 2004 - Springer
The class of random-cluster models is a unification of a variety of stochastic processes of
significance for probability and statistical physics, including percolation, Ising, and Potts …
significance for probability and statistical physics, including percolation, Ising, and Potts …
Spatial birth and death processes as solutions of stochastic equations
Spatial birth and death processes are obtained as solutions of a system of stochastic
equations. The processes are required to be locally finite, but may involve an infinite …
equations. The processes are required to be locally finite, but may involve an infinite …
[图书][B] Spatial statistics and computational methods
J Møller - 2013 - books.google.com
Spatial statistics and Markov Chain Monte Carlo (MCMC) techniques have each undergone
major developments in the last decade. Also, these two areas are mutually reinforcing …
major developments in the last decade. Also, these two areas are mutually reinforcing …
A review of perfect simulation in stochastic geometry
J Møller - Lecture Notes-Monograph Series, 2001 - JSTOR
A Review of Perfect Simulation in Stochastic Geometry Page 1 333 Institute of Mathematical
Statistics LECTURE NOTES ? MONOGRAPH SERIES A REVIEW OF PERFECT SIMULATION …
Statistics LECTURE NOTES ? MONOGRAPH SERIES A REVIEW OF PERFECT SIMULATION …
On the uniqueness of Gibbs distributions with a non-negative and subcritical pair potential
S Betsch, G Last - Annales de l'Institut Henri Poincare (B) …, 2023 - projecteuclid.org
We prove that the distribution of a Gibbs process with non-negative pair potential is uniquely
determined as soon as an associated Poisson-driven random connection model (RCM) …
determined as soon as an associated Poisson-driven random connection model (RCM) …