The Ratios of Functions of Random Variables
- 1 November 1977
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Aerospace and Electronic Systems
- Vol. AES-13 (6) , 624-630
- https://doi.org/10.1109/taes.1977.308503
Abstract
Given the joint probability density function (pdf), pX(xl, ..., xN), of the random variables x1, xN, a new method is developed for determining the pdf of the ratio f(X)lg(X) where f and g are arbitrary functions. The method is then applied to calculate the pdf of x1 lx2 where x1 and x2 are correlated Gaussians with arbitrary means and variances.Keywords
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