Statistical inference and simulation for spatial point processes
by
 
Moller, Jesper., author.

Title
Statistical inference and simulation for spatial point processes

Author
Moller, Jesper., author.

ISBN
9780203496930
 
9781135442231
 
9781135442279

Physical Description
1 online resource (xv, 300 pages)

Contents
EXAMPLES OF SPATIAL POINT PATTERNS -- INTRODUCTION TO POINT PROCESSES -- Point Processes on R^d -- Marked Point Processes and Multivariate Point Processes -- Unified Framework -- Space-Time Processes -- POISSON POINT PROCESSES -- Basic Properties -- Further Results -- Marked Poisson Processes -- SUMMARY STATISTICS -- First and Second Order Properties -- Summary Statistics -- Nonparametric Estimation -- Summary Statistics for Multivariate Point Processes -- Summary Statistics for Marked Point Processes -- COX PROCESSES -- Definition and Simple Examples -- Basic Properties -- Neyman-Scott Processes as Cox Processes -- Shot Noise Cox Processes -- Approximate Simulation of SNCPs -- Log Gaussian Cox Processes -- Simulation of Gaussian Fields and LGCPs -- Multivariate Cox Processes -- MARKOV POINT PROCESSES -- Finite Point Processes with a Density -- Pairwise Interaction Point Processes -- Markov Point Processes -- Extensions of Markov Point Processes to R^d -- Inhomogeneous Markov Point Processes -- Marked and Multivariate Markov Point Processes -- METROPOLIS-HASTINGS ALGORITHMS -- Description of Algorithms -- Background Material for Markov Chains -- Convergence Properties of Algorithms -- SIMULATION-BASED INFERENCE -- Monte Carlo Methods and Output Analysis -- Estimation of Ratios of Normalising Constants -- Approximate Likelihood Inference Using MCMC -- Monte Carlo Error -- Distribution of Estimates and Hypothesis Tests -- Approximate MissingData Likelihoods -- INFERENCE FOR MARKOV POINT PROCESSES -- Maximum Likelihood Inference -- Pseudo Likelihood -- Bayesian Inference -- INFERENCE FOR COX PROCESSES -- Minimum Contrast Estimation -- Conditional Simulation and Prediction -- Maximum Likelihood Inference -- Bayesian Inference -- BIRTH-DEATH PROCESSES AND PERFECT SIMULATION -- Spatial Birth-Death Processes -- Perfect Simulation -- APPENDICES -- History, Bibliography, and Software -- Measure Theoretical Details -- Moment Measures and Palm Distributions -- Perfect Simulation of SNCPs -- Simulation of Gaussian Fields -- Nearest-Neighbour Markov Point Processes -- Results for Spatial Birth-Death Processes -- References -- Subject Index -- Notation Index.

Subject Term
Point processes.
 
Spatial analysis (Statistics)

Added Author
Waagepetersen, Rasmus Plenge.

Electronic Access
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LibraryMaterial TypeItem BarcodeShelf Number[[missing key: search.ChildField.HOLDING]]Status
Online LibraryE-Book538537-1001QA274.42 .M65 2004CRC E-Books