
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.
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Library | Material Type | Item Barcode | Shelf Number | Status | Item Holds |
|---|---|---|---|---|---|
Searching... | E-Book | 538537-1001 | QA274.42 .M65 2004 | Searching... | Searching... |
