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The norm of a Gaussian vector is called a Rayleigh random variable. We compute various first and higher order probability density functions of products and quotients of correlated Rayleigh variates. Moments of these distributions are also calculated. The main results are summarized in Section 2 below. Extensive use is made of formulas involving special functions. These identities enable us to obtain the desired results directly and efficiently.

Distributions involving norms of correlated Gaussian vectors