Prerequisites: graduate standing; STAT 201C or equivalent; or consent of instructor
Description: Topics include measure spaces; measure integration; convergence theorems; absolute continuity; product spaces; Tonelli- fubini theorems; convolutions and transforms; probability spaces; and existence and extension theorems. Also covers inequalities; independence; conditional probability and expectation; convergence concepts; laws of large numbers; weak convergence; and central limit theorem.
Credit: Credit is not awarded for STAT 201A if it has already been awarded to STAT 210A if STAT 210A was taken prior to Fall 2013.