140.724.01
Probability Theory IV
Location
East Baltimore
Note: Due to the COVID-19 Pandemic, this
course was held in a virtual/online format.
Term
4th Term
Department
Biostatistics
Credit(s)
3
Academic Year
2020 - 2021
Instruction Method
TBD
Tu, Th, 3:30 - 4:50pm
Auditors Allowed
No
Available to Undergraduate
No
Grading Restriction
Letter Grade or Pass/Fail
Course Instructor(s)
Contact Name
Frequency Schedule
Every Year
Resources
Prerequisite
Calculus, real analysis; 140.721-3
Covers basic stochastic processes including martingales and Markov chains, followed by consideration of Markov Chain Monte Carlo (MCMC) methods.
Learning Objectives
Upon successfully completing this course, students will be able to:
- Assess the convergence of a sequence or series of random variables using martingale theory
- Classify the states and derive the transition probabilities of a Markov chain
- Derive the stationary distribution of certain Markov chains
- Understand the principles of MCMC algorithms like Gibbs sampler and Metropolis-Hastings
The course may include one or two lab sessions scheduled for the corresponding lecture periods.