## 4.6 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…