Probability and Statistics
A 10-week intensive learning path covering probability theory and statistical inference, progressing from axiomatic foundations to advanced modeling techniques suitable for graduate-level study. This roadmap is designed to build a deep, theoretical understanding combined with practical implementation skills.
W1
Module 1: Foundations of Probability Theory
By the end of this module you will be able to derive and apply fundamental probability theorems from first principles using axiomatic set theory.
3 videos•39m
3 readings
3 topics
1 homework
Topics
1.1
L01.4 Probability Axioms
Axiomatic Probability
8 minutes
1.2
Multiplication & Addition Rule - Probability - Mutually Exclusive & Independent Events
Conditional Probability and Independence
10 minutes
1.3
Random Variables and Probability Distributions
Random Variables
21 minutes
References
Week 1: Module 1: Foundations of Probability Theory
Week 2: Module 2: Distribution Theory and Transformations
Week 3: Module 3: Multivariate Distributions and Limit Theorems
Week 4: Module 4: Principles of Statistical Inference
Rate this course
Community Insights
0Join the discussion
Sign in to share your thoughts and technical insights.
Loading insights...