Recently, a cheerful 100-year-old message in a bottle was found on the south-west coast of Australia. In it, a World War One ...

Abstract: Traditionally, the uncertainty qualification is utilized with the known probability distribution function (PDF). However, in some scenarios, the PDFs of some uncertain variables are modeled ...

Odds of 50 random events happening to you. Millions of Americans buy lottery tickets each year, even though most people know ...

A simple random sample is a subset of a statistical population where each member of the population is equally likely to be ...

Abstract: This letter considers the distribution of product for two correlated real Gaussian random variables with nonzero means and arbitrary variances, which arises widely in radar and communication ...

The total area under the curve must equal 1, representing the fact that the probability of some outcome occurring within the entire range is certain. \[\int_{-\infty}^{\infty}f\left(x\right)dx=1\] ...

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, ...