Lecture: M,W 2:20-3:35 pm
Office hours: M,W 3:40-4:40 pm
Course Description (from the Duke Statistics graduate course listings)
Probability and Measure. Introduction to probability spaces, the
theory of measure and integration, random variables, and limit
theorems. Distribution functions, densities, and characteristic
functions; convergence of random variables (a.s., L-p, in probability)
and of their distributions; uniform integrability and the Lebesgue
convergence theorems. Weak and strong laws of large numbers, central
limit theorem, conditional probability and expectation and their
statistical relevance. Martingales, Sequential Statistical Tests,
Brownian Motion.
Grading
The course grade will be based on homework assignments
(50%) and two in class exams (25% each).
Exam dates
First exam: Wednesday February 28
Second exam: Wednesday April 18