BLOCK I: PROBABILITY
1. Introduction to Probability
1.1 Introduction
1.2 Random phenomena
1.3 Definition of probability and properties
1.4 Assessment of probabilities in practice
1.5 Conditional probability
1.6 Bayes Theorem
2. Random variables
2.1 Definition of random variable
2.2 Discrete random variables
2.3 Continuous random variables
2.4 Characteristic features of a random variable
2.5 Transformations of random variables
2.6 Independence of random variables
BLOCK II: PARAMETRIC MODELS AND INFERENCE
3. Distribution models
3.1 Binomial distribution
3.2 Geometric distribution
3.3 Poisson distribution
3.4 Uniform distribution (continuous)
3.5 Exponential distribution
3.6 Normal distribution (with CLT)
4. Statistical Inference
4.1 Introduction
4.2 Estimators and their distributions
4.3 Confidence Intervals
4.4 Hypothesis testing
4.5 Particualr tests on a single sample
4.6 Comparison of two populations
BLOCK III: APPLICATIONS
5. Quality control
5.1 Introduction, control charts
5.2 Variables control charts, the X-bar chart
5.3 Attributes control charts, the p and np charts
6. Linear regression
6.1 Introduction
6.2 Simple linear regression
6.3 Multiple linear regression
