In a number of situations we are faced with the problem of determining efficient estimates of the mean and variance of a distribution specified by (i) a non-zero probability that the variable assumes ...

Discrete random variable A random variable that can take only a certain specified set of individual possible values-for example, the positive integers 1, 2, 3, . . .

This is a graduate-level course focused on techniques and models in modern discrete probability. Topics include: the first and second moment methods, martingales, concentration inequalities, branching ...

Let x and y be two random variables with continuous cumulative distribution functions f and g. A statistic U depending on the relative ranks of the x's and y's is proposed for testing the hypothesis f ...

New evidence in favor of a discrete form of data storage could change the way we understand the brain and the devices we build to interface with it.