Probability & Statistics

Probability theory is a deductive science describing the axioms for calculating the probability of some event given some known state of the world. In the first part of the course, we define the probability axioms, introduce the concept of events, random variables, and probability distributions. In inductive practice we are interested to learn about the state of the world given some event, i.e., the data. Statistics is probability theory turned upside down. In this course we will learn about ``estimation'' procedures, in particular, maximum likelihood and the method of moments. We will introduce hypothesis testing and linear regression analysis.

PREREQUISITES

• Introduction to Computational Science

REFERENCES

• Statistical Inference, Casella and Berger, Duxbury, 2th edition.
  Available at https://fsalamri.files.wordpress.com/2015/02/casella_berger_statistical_inference1.pdf