A discrete distribution is a statistical probability distribution that represents the possible discrete values a variable can take.

Discrete Probability Distributions Definitions Area of Opportunity: (for Poisson distribution) a continuous interval (time, length, area, volume, etc). Binomial Distribution has the following ...

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 ...

This is a graduate-level course focused on techniques and models in modern discrete probability. Topics include: the first and second moment methods, Chernoff bounds and large deviations, martingales, ...

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 ...

A uniform distribution is a probability distribution where all outcomes are equally likely. Due to its limited and unique values, a die exhibits uniform distribution.

A nonparametric probability density estimator is proposed that is optimal with respect to a discretized form of a continuous penalized-likelihood criterion functional. Approximation results relating ...