Spatial Analysis 1st edition by John Kent, Kanti Mardia 1118763572 9781118763575

Spatial Analysis 1st edition by John T Kent, Kanti V. Mardia – Ebook PDF Instant Download/DeliveryISBN:  1118763572, 9781118763575 

Full download Spatial Analysis 1st edition after payment.

Product details:

ISBN-10 :  1118763572 

ISBN-13 :  9781118763575

Author : John T Kent, Kanti V. Mardia 

In Spatial Analysis, two distinguished authors deliver a practical and insightful exploration of the statistical investigation of the interdependence of random variables as a function of their spatial proximity. The book expertly blends theory and application, offering numerous worked examples and exercises at the end of each chapter.

Spatial Analysis 1st Table of contents:

1 Introduction
1.1 Spatial Analysis
1.2 Presentation of the Data
1.3 Objectives
1.4 The Covariance Function and Semivariogram
1.5 Behavior of the Sample Semivariogram
1.6 Some Special Features of Spatial Analysis
Exercises
2 Stationary Random Fields
2.1 Introduction
2.2 Second Moment Properties
2.3 Positive Definiteness and the Spectral Representation
2.4 Isotropic Stationary Random Fields
2.5 Construction of Stationary Covariance Functions
2.6 Matérn Scheme
2.7 Other Examples of Isotropic Stationary Covariance Functions
2.8 Construction of Nonstationary Random Fields
2.9 Smoothness
2.10 Regularization
2.11 Lattice Random Fields
2.12 Torus Models
2.13 Long‐range Correlation
2.14 Simulation
Exercises
3 Intrinsic and Generalized Random Fields
3.1 Introduction
3.2 Intrinsic Random Fields of Order
3.3 Characterizations of Semivariograms
3.4 Higher Order Intrinsic Random Fields
3.5 Registration of Higher Order Intrinsic Random Fields
3.6 Generalized Random Fields
3.7 Generalized Intrinsic Random Fields of Intrinsic Order
3.8 Spectral Theory for Intrinsic and Generalized Processes
3.9 Regularization for Intrinsic and Generalized Processes
3.10 Self‐Similarity
3.11 Simulation
3.12 Dispersion Variance
Exercises
4 Autoregression and Related Models
4.1 Introduction
4.2 Background
4.3 Moving Averages
4.4 Finite Symmetric Neighborhoods of the Origin in
4.5 Simultaneous Autoregressions (SARs)
4.6 Conditional Autoregressions (CARs)
4.7 Limits of CAR Models Under Fine Lattice Spacing
4.8 Unilateral Autoregressions for Lattice Random Fields
4.9 Markov Random Fields (MRFs)
4.10 Markov Mesh Models
Exercises
5 Estimation of Spatial Structure
5.1 Introduction
5.2 Patterns of Behavior
5.3 Preliminaries
5.4 Exploratory and Graphical Methods
5.5 Maximum Likelihood for Stationary Models
5.6 Parameterization Issues for the Matérn Scheme
5.7 Maximum Likelihood Examples for Stationary Models
5.8 Restricted Maximum Likelihood (REML)
5.9 Vecchia’s Composite Likelihood
5.10 REML Revisited with Composite Likelihood
5.11 Spatial Linear Model
5.12 REML for the Spatial Linear Model
5.13 Intrinsic Random Fields
5.14 Infill Asymptotics and Fractal Dimension
Exercises
6 Estimation for Lattice Models
6.1 Introduction
6.2 Sample Moments
6.3 The AR(1) Process on
6.4 Moment Methods for Lattice Data
6.5 Approximate Likelihoods for Lattice Data
6.6 Accuracy of the Maximum Likelihood Estimator
6.7 The Moment Estimator for a CAR Model
Exercises
7 Kriging
7.1 Introduction
7.2 The Prediction Problem
7.3 Simple Kriging
7.4 Ordinary Kriging
7.5 Universal Kriging
7.6 Further Details for the Universal Kriging Predictor
7.7 Stationary Examples
7.8 Intrinsic Random Fields
7.9 Intrinsic Examples
7.10 Square Example
7.11 Kriging with Derivative Information
7.12 Bayesian Kriging
7.13 Kriging and Machine Learning
7.14 The Link Between Kriging and Splines
7.15 Reproducing Kernel Hilbert Spaces
7.16 Deformations
Exercises
8 Additional Topics
8.1 Introduction
8.2 Log‐normal Random Fields
8.3 Generalized Linear Spatial Mixed Models (GLSMMs)
8.4 Bayesian Hierarchical Modeling and Inference
8.5 Co‐kriging
8.6 Spatial–temporal Models
8.7 Clamped Plate Splines
8.8 Gaussian Markov Random Field Approximations
8.9 Designing a Monitoring Network

People also search for Spatial Analysis 1st:

what is spatial analysis in geography
    
applied spatial analysis and policy
    
define spatial analysis
    
types of spatial analysis
    
types of spatial analysis in gis

Tags: Spatial Analysis, John Kent, Kanti Mardia, insightful exploration