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Applied Probability for Statistics (440-0-20)

Instructors

Wenxin Jiang
847.491.5081
2006 Sheridan, Room 203/Department of Statistics

Meeting Info

University Hall 121: Tues, Thurs 2:00PM - 3:20PM

Overview of class

In this course, students are expected to learn typical statistical applications of probability and stochastic processes. Topics may include iid processes (e.g., with applications in asymptotic statistics), Markov chains (e.g. with applications to MCMC convergence theory), martingales (e.g. with applications to survival analysis), Brownian motion (e.g. with applications to clinical trials / optimal stopping; Black-Scholes), other statistical applications. An integral part will be the student presentations on related topics.

Registration Requirements

Real analysis, Probability with measure (Stat 430-1,2), Statistics 420-1,2,3, some knowledge of functional analysis may also be helpful.

Teaching Method

Lectures and student presentations

Evaluation Method

Presentation of a related topic.

Class Materials (Required)

There is no standard textbook, but a collection of papers and references will be provided.

Enrollment Requirements

Enrollment Requirements: Prerequisites: STAT 420-1, STAT 420-2, STAT 420-3, and STAT 430-1 and STAT 430-2
Add Consent: Department Consent Required