In probability theory, random variables play a crucial role in quantifying uncertainty associated with the outcomes of random experiments. Let’s explore the concept of random variables through a ...

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 ...

However, the probability density function of a normal random variable cannot be integrated by hand. To find probabilities pertaining to a normal distribution therefore, it is necessary either to use ...

This paper analyses the stochastic dependence between random variables in the distribution network containing a variety of distributed generations, and obtains the nonlinear correlation properties ...

Bounds for ordered random variables with exponential, beta and gamma marginals are presented and compared. The Indian Statistical Institute (ISI), is a unique P. C. Mahalanobish institution devoted to ...

The entropy coding system in AV1 processes syntax elements as M-ary random variables. In comparison to the binarization approach used in its predecessor VP9 that converts an M-ary random variables ...