Abstract
A conjecture made in [8] regarding the relationship between the p-dimensional biased Rayleigh distribution and the $( {p + 1} )$-dimensional unbiased Rayleigh distribution is proved. Other results relating biased and unbiased Rayleigh distributions of various dimensions are also proved. Some new explicit formulas (in terms of higher transcendental functions) are obtained for the four-dimensional Rayleigh frequency function.
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