These lecture notes are a work in progress, and do not contain everything we cover in the course. There are many things that are important and examinable, and ...

But this being a notes on Bayesian Statistics, here we shall provide a more detailed discus- sion of the methods with proofs wherever needed. Though we have ...

This chapter is an overview introducing some of the main ideas we will revisit. I assume that to some extent the ideas in lectures 1-4 (up to the end of ...

Bayesian statistics mostly involves conditional probability, which is the the probability of an event A given event B, and it can be calculated using the Bayes ...

Do we understand classical statistics? 1.1. Historical introduction. 1.2. Test of hypothesis. 1.2.1. The procedure. 1.2.2. Common misinterpretations.

There are two major schools of thought, frequentist and subjectivist, when it comes to the interpretation of the meaning of probability1. The frequentist.

Bayesian statistics is based on the data and the prior distribution. Thus, the Bayes decision rules are based on three components, the data, the prior, and ...

Unit 1 – Probability Theory Foundations · Unit 2 – Bayes' Theorem: Applications and Insights · Unit 3 – Prior distributions · Unit 4 – Likelihood functions · Unit 5 ...

1 What makes a probability distribution valid? 3.3.2 Probabilities versus probability densities: interpreting discrete and continuous probability distributions.

Put generally, the goal of Bayesian statistics is to represent prior uncer- tainty about model parameters with a probability distribution and to update this ...