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A Minimal Book Example
1
Preface
2
Introduction to Inference
2.1
Motivation
2.2
Basic Terminology
2.3
Confidence Intervals
2.3.1
Confidence Interval for the Mean, Unknown Variance
2.3.2
Confidence Interval for Proportions
2.4
Introductory Hypothesis Testing
2.4.1
Hypothesis Testing for Means
2.4.2
Hypothesis Testing for Proportions
3
Method of Moments
3.1
Motivation
3.2
Method of Moments
3.3
Practice
4
Maximum Likelihood
4.1
Motivation
4.2
Maximum Likelihood Estimation
4.3
Maximum Likelihood Confidence Intervals
4.3.1
Fisher’s Information
4.4
Miscellaneous Estimation
4.5
Practice
5
Bayesian Inference
5.1
Motivation
5.2
Bayesian Approach
5.3
Using a Bayesian Approach
5.3.1
Choosing a Prior
5.3.2
Bayesian Estimators
5.4
Bayesian Credible Intervals
5.5
Practice
6
Parameter Transformations
6.1
Motivation
6.2
Transformations and Invariance
6.3
The Delta Method
6.4
Practice
7
Hypothesis Testing
7.1
Motivation
7.2
Introduction to Hypothesis Testing
7.3
Permutations of Hypothesis Testing
7.4
Testing Structure
7.5
A Testing Example
7.6
Practice
8
Likelihood Based Testing
8.1
Motivation
8.2
Likelihood Ratio Testing
8.2.1
Monotone Likelihood Ratio
8.2.2
Uniformly Most Powerful Tests -
8.2.3
Sufficient Statistics
8.2.4
Log Likelihood Ratio Tests
8.3
Score Test
8.4
Wald Test
8.5
Practice
9
Bayesian Testing
9.1
Motivation
9.2
Bayesian Testing
9.3
Bayes’ Factor
9.3.1
BIC
References
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Inference!
An interactive introduction.
