Student Probability Seminar

Janson's Inequalities

Speaker: Moumanti Podder

Location: Warren Weaver Hall 202

Date: Friday, September 26, 2014, 2 p.m.


These inequalities provide exponential upper bounds for the probability that none of a set of bad events occurs. When the events are mutually independent, the probability that none of them occurs is equal to the product of the probabilities that they do not occur individually. When these events are "mostly" independent, Janson's inequalities show us that the upper bound in that case is nearly the same as in the independent setup.