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Note: This course is not available for the current semester.
Course No: 92.587; Last Offered: No Data;
Course Description
This is a course in mathematical probability that gives rigorous proofs to various limit theorems in probability (zero-one laws, laws of large numbers, central limit theorems) that, in particular, constitute a basis for most of the statistical techniques. Tentative topics are: Sigma-algebras of random events, probability measures; Random variables and their distributions, moments; Independent events and sigma-algebras, independent random variables; infinite products of probability spaces; Zero-One Laws and Laws of Large Numbers; Characteristic functions and their properties; Weak convergence of measures and central Limit Theorem; Radon-Nikodim theorem and conditional expectations. Prerequisites: 92.502 Measure and Integration or equivalent
Prerequisites & Notes
- Prerequisites:
- Special Notes:
- Credits: 3;
Questions About This Course?
Contact the Advising Center at 978-934-2474 or
Continuing_Education@uml.edu
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