Title of article :
On the Ratio of Rice Random Variables
Author/Authors :
Khoolenjani, N. B. shiraz university - Departments of Statistics, شيراز, ايران , Khorshidian, K. persian gulf university - Departments of Mathematics and Statistics, بوشهر, ايران , Khorshidian, K. shiraz university - Departments of Statistics, شيراز, ايران
Abstract :
The ratio of independent random variables arises in manyapplied problems. In this article, the distribution of the ratio X/Yis studied, when X and Y are independent Rice random variables.Ratios of such random variable have extensive applications in theanalysis of noises of communication systems. The exact forms ofprobability density function (PDF), cumulative distribution function(CDF) and the existing moments have been derived in terms of severalspecial functions. The delta method is used to approximate moments.As a special case, we have obtained the PDF and CDF of the ratioof independent Rayleigh random variables
Keywords :
Ratio random variable , Rayleigh distribution , Ricedistribution , special functions
Journal title :
Journal of the Iranian Statistical Society (JIRSS)
Journal title :
Journal of the Iranian Statistical Society (JIRSS)
