STA357: Stochastic Processes
Here are sketches of lecture notes from earlier offerings of Stochastic Processes, then numbered 357, based on this
Outline
of topics.
Prof:
Robert L. Wolpert
wolpert
@stat.duke.edu
An Earlier Syllabus
Week
Lecture Notes
1
Introduction & Course Objectives
2
Review of Probability
3
Conditional Prob & Markov Chains I
4
Measure Theory Review
5
Random Walks & Hitting Probabilities
6
RW, Hitting Probabilities, & SPRT
7
Poisson Birth/Death
8
Brownian Motion
9
Brownian Bridge
10
Continuous-Time Markov Chains
11
Martingle Methods
12
Martingales & Optional Sampling
14
Martingales Applications
Final Projects