Random Processes in Information Systems
The course presents the fundamentals of probability theory and random processes needed by students in communications and information systems, computer engineering, signal processing, machine learning, bioinformatics, econometrics and mathematical finance. Topics include: History and overview; probability; random variables; functions of random variables; generating functions and transform methods; inequalities, Chernoff's bounds and large deviation theory; convergence and the limit theorems; random processes; spectral representation; Poisson and birth-death processes; Markov chains; random walk, Brownian motion, diffusion and Ito processes.
Sample reading list:
H. Kobayashi, B.L. Mark & W. Turin, Probability, Random Processes and Statistical Analysis
G.R. Grimmet & D.R Stirzaker, Probability and Random Processes
J.A. Gubner, Probability & Random Processes for Electrical & Computer Eng
Not Open to Freshmen.
Prerequisites and Restrictions:
Students taking this course should have a prior course in applied probability at the undergraduate level..
|21374||L01||11:00 am - 12:20 pm||M W||Sherrerd Hall 001||Enrolled:9 Limit:25|