This note suggests that expressing a distribution function as a mixture of suitably chosen distribution functions leads to improved methods for generating random variables in a computer. The idea is ...

A discrete random variable is a type of random variable that can take on a countable set of distinct values. Common examples include the number of children in a family, the outcome of rolling a die, ...

Probability Density Function Calculating probabilities for continuous random variables requires a different approach from the methods used with discrete variables. If all the outcomes of a continuous ...

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 ...

Notice that the sum of all probabilities in this table is 1. Since f (x,y) is a probability distribution, it must sum to 1. Adding probabilities across the rows you get the probability distribution of ...

You can use the RAND () function to establish probability and create a random variable with normal distribution.

In this letter, new and simple expressions are presented for the outage probability (OP) of the product of two Beaulieu-Xie, $\\eta$-$\\mu$, $\\kappa$-$\\mu$, or $\\alpha$-$\\mu$ random variables. The ...