Call Number | 15225 |
---|---|
Day & Time Location |
MW 2:40pm-3:55pm 903 School of Social Work |
Points | 4 |
Grading Mode | Standard |
Approvals Required | None |
Instructor | Anne Van Delft |
Type | LECTURE |
Method of Instruction | In-Person |
Course Description | Prerequisites: A thorough knowledge of elementary real analysis and some previous knowledge of probability. Overview of measure and integration theory. Probability spaces and measures, random variables and distribution functions. Independence, Borel-Cantelli lemma, zero-one laws. Expectation, uniform integrability, sums of independent random variables, stopping times, Wald's equations, elementary renewal theorems. Laws of large numbers. Characteristic functions. Central limit problem; Lindeberg-Feller theorem, infinitely divisible and stable distributions. Cramer's theorem, introduction to large deviations. Law of the iterated logarithm, Brownian motion, heat equation. |
Web Site | Vergil |
Department | Statistics |
Enrollment | 23 students (25 max) as of 11:06AM Tuesday, December 3, 2024 |
Subject | Statistics |
Number | GR6301 |
Section | 001 |
Division | Graduate School of Arts and Sciences |
Open To | GSAS |
Note | STAT PhD students only. |
Section key | 20243STAT6301G001 |