"**Claim**: If $ X $ and $ Y $ are independent random variables with $ X \\sim Exp(1) $ and $ Y \\sim Exp(1) $, then $ \\frac{X}{X+Y} \\sim Uniform(0,1) $.\n", "The density function of $ U \\sim ...

Abstract: This paper presents MATLAB-based educational program for teaching transformation of random variable in context of its parameters, mean value and variance, and probability density function ...

In this paper, we propose a new transformation of circular random variables based on circular distribution functions, which we shall call inverse distribution function (idf) transformation. We show ...

The range of correlation coefficient of any bivariate discrete random vector with finite or countably infinite values is derived. We show analytically that the normal-transformed discrete bivariate ...

Random fields constitute a fundamental mathematical framework for modelling spatially and temporally structured data, wherein each point in space (or space-time) is associated with a random variable.