In this chapter, we introduce the concept of a random variable and develop the procedures for characterizing random variables, including the cumulative distribution function, as well as the ...

About A modern Java GUI application for computing discrete probability distributions with professional styling and comprehensive mathematical accuracy.

Simple! The program uses math.random java method to generate random numbers between 0 and 1 The randomness of the system is dependent on the numbers produced by this java method. We divide the numbers ...

This volume is the proceedings of the 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI) "Stochastic Analysis, Random Fields and Integrable Probability," which was held at Kyushu ...

This is known as the birthday paradox. Don't believe it's true? You can test it and see mathematical probability in action!

In this correspondence, we give a sufficient condition for the exponential decay of the tail probability of a nonnegative random variable. We consider the Laplace-Stieltjes transform of the ...

Boyan Dimitrov, Stefanka Chukova, David Green, Jr. Periodic random environments and mechanisms of their effect on imbedded random variables are discussed. The variables under consideration represent ...

We study the asymptotic behaviour of the probability of non-extinction of a critical multi-type Galton–Watson process in i.i.d. random environments by using limit theorems for products of positive ...