Use this function and what you know about loops and lists to generate a list called random_variables that contains 100 negative binomial random variables all of which have the p parameter set to the ...

Multiple choices with replacement The choice function that you wrote in the previous exercise simply generated a Bernoulli random variable with parameter R/N. The problem was thus rather ...

This paper is concerned with the determination of tight lower and upper bounds on the expectation of a convex function of a random variable. The classic bounds are those of Jensen and ...

It is well known that the entropy H(X) of a discrete random variable X is always greater than or equal to the entropy H(f(X)) of a function f of X, with equality if and only if f is one-to-one. In ...

Learn how to work with discrete and continuous random variables in probability and statistics. Avoid common mistakes and improve your skills and knowledge.

A random variable is one whose value is unknown or a function that assigns values to each of an experiment’s outcomes. A random variable can be discrete or continuous.

Jensen gave a lower bound to Eρ (T), where ρ is a convex function of the random vector T. Madansky has obtained an upper bound via the theory of moment spaces of multivariate distributions. In ...