Revisiting the Product of Random Variables

On the Ratio of Rice Random Variables

 The ratio of independent random variables arises in many applied problems. In this article, the distribution of the ratio X/Y is studied, when X and Y are independent Rice random variables. Ratios of such random variable have extensive applications in the analysis of noises of communication systems. The exact forms of probability density function (PDF), cumulative distribution function (CDF) a...

Random Variables and Product of Probability Spaces1

We have been working on the formalization of the probability and the randomness. In [15] and [16], we formalized some theorems concerning the real-valued random variables and the product of two probability spaces. In this article, we present the generalized formalization of [15] and [16]. First, we formalize the random variables of arbitrary set and prove the equivalence between random variable...

On the product and ratio of Bessel random variables

The distributions of products and ratios of random variables are of interest in many areas of the sciences. In this paper, the exact distributions of the product |XY | and the ratio |X/Y | are derived when X and Y are independent Bessel function random variables. An application of the results is provided by tabulating the associated percentage points.

On the Product of maxwell and Rice Random Variables

estimating the value of e using stopping time random variables

In this paper, we obtain unbiased estimators of e using stopping time random variables and simulation.