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Tables of Contents for Generalized Linear Models
Chapter/Section Title
Page #
Page Count
Acknowledgments
v
Series Editor's Introduction
vii
Introduction
1
8
Model Specification
3
2
Prerequisites and Preliminaries
5
3
Probability Distributions
5
1
The Linear Model
6
1
Linear Algebra and Calculus
7
1
Software
8
1
Looking Forward
8
1
The Exponential Family
9
10
Justification
9
2
Derivation
11
1
Canonical Form
12
1
Multiparameter Models
13
6
Likelihood Theory and the Moments
19
10
Maximum Likelihood Estimation
19
3
Calculating the Mean of the Exponential Family
22
3
Calculating the Variance of the Exponential Family
25
3
The Variance Function
28
1
Linear Structure and the Link Function
29
10
The Generalization
30
2
Distributions
32
7
Estimation Procedures
39
12
Estimation Techniques
39
12
Newton-Raphson and Root Finding
39
3
Weighted Least Squares
42
2
Iterative Weighted Least Squares
44
7
Residuals and Model Fit
51
36
Defining Residuals
51
10
Anscombe Residuals
53
3
The Deviance Function and Deviance Residuals
56
5
Measuring and Comparing Goodness of Fit
61
5
Asymptotic Properties
66
21
Conclusion
87
5
Summary
87
1
Related Topics
88
1
Further Reading
88
2
Motivation
90
2
Notes
92
2
References
94
7
About the Author
101