Theoretical (Probability) Distributions
- Invented by mathematicians/statisticians
- Q: What is the most famous one? Who invented it? Others?
- Discrete and continuous probability distributions (see app)
- Facilitate our work… why? What assumptions can we make?
- Uni- and multivariate probability distributions (e.g. multivariate normal, What is the 3rd dimension in the graph?)
- Frequentism/Frequentist inference
- Any given experiment (dataset) can be considered as one of an infinite sequence of possible repetitions of the same experiment (datasets)
- e.g. a sample we draw from a population can be considered as one of an infinite number of samples drawn from the same population
- Sample → Calculate mean/regression coefficient → Sampling distribution of statistic \(\approx\) probability distribution
- Are also simply data…