This is the main page of an undergraduate-level course in stochastic processes, being taught in 2018 (2017 semester 2) at the Polytechnic Institute IPRJ/UERJ.
- Course pages for previous years: 2012
- Instructor: prof. Ricardo Fabbri, Ph.D. Brown University
- Meeting times: Tuesdays 1:20pm-3:10pm Thursdays 1:20pm - 3:10pm, room (?)
- Forum for file exchange and discussion: email and IRC #labmacambira for chat
- Undergraduate-level mathematics and probability (will review as needed)
- Desirable: Intermediate programming experience with any numerics scripting language such as Scilab, Python, R or Matlab. Knowing at least one of them will help you learn any new language needed in the course.
This year's course will focus on a modern approach bridging theory and practice. As engineers and scientists, you should not learn theory here without also considering broader applications. Recent applications in artificial intelligence, machine learning, robotics, autonomous driving, material science and other topics will be considered. These applications are often too hard to tackle at the level of this course, but having contact with them will help motivate the abstract theory. We will try to focus on key concepts and more realistic applications than most courses (that come from the 1900's), that will prompt us to elaborate theory.
Introduction to Stochastic Processes with R, Robert Dobrow, 2016 (5 stars on Amazon)
Learning stochastic processes will require aditional books, including more traditional ones:
- Markov Chains: gibbs fields, monte carlo simulation and queues, Pierre Bremaud
- An Introduction to Stochastic Modeling, Taylor & Karlin
Basic probability and statistics
- I recommend you review from the above books. They all include a review. But you might have to see:
- Elementary Statistics, Mario Triola (passed down to me by a great scientist and statistician)