Package Docs
49
🚧 Getting Started
(Super Hot Fire) Thesis Notes
Preface
Point Process Foundations
1
Introduction to Point Processes
2
Point Process Definition
3
The Poisson Process
4
Exercises
First-Order Structure
5
Intensity function
6
Intensity estimation
7
Exercises
Second-Order Structure
8
Second-Order Product Density
9
Pair Correlation Function
10
K-function
11
Second-Order Estimation
12
Exercises
Structural Assumptions
13
Stationarity
14
Isotropy
15
Exercises
Random Fields
16
Gaussian Random Fields
17
Covariance Functions
18
Exercises
Cox Processes
19
Introduction to Cox Processes
20
Moment Properties
21
Exercises
Log-Gaussian Cox Processes
22
Introduction to Log-Gaussian Cox Processes
23
Moment Properties of the LGCP
24
Pair Correlation Function of the LGCP
25
Exercises
Estimation and Inference
26
Likelihood
27
Minimum Contrast Estimation
28
Composite Likelihood
29
Pseudolikelihood
30
Exercises
CSCP I
31
Defining the CSCP
32
The Non-Central Model
33
The Central Model
34
The Shifted Model
35
Parameterizations
36
Parameterizations - Derivations
37
Model interpretation
CSCP II
38
Second-order Structure Comparison to LGCPs
39
Model Setup
40
🚧 Theoretical(ish) Comparison of PCFs
41
🚧 Empirical comparison of PCF families
42
Implications for Statistical Inference
CSCP III
43
🚧 Looking Beyond Second-Order Structure
44
Marginal Distributions
45
🚧 Recovering marginal intensity differences using KDE
46
Quadrats 1
47
Quadrats 2
48
Quadrats 3
Package Docs
49
🚧 Getting Started
50
Minimum contrast
Package Docs
49
🚧 Getting Started
49
🚧 Getting Started
48
Quadrats 3
50
Minimum contrast