Using a decomposition of the characteristic function of the logarithm of the product of independent generalized gamma-ratio random variables (r.v.’s), we obtain explicit expressions for both the probability density and cumulative distribution functions of the product of independent r.v.’s with generalized F or generalized gamma-ratio distributions in the form of particular mixtures of generaliz...

background: intracerebral  hemorrhage (ich) is the  most fatal subtype  of stroke.  despite  limited effective therapy, there  is no  accepted clinical grading  scale to  predict  in- hospital  mortality,  especially  in developing  nations.  the purpose  of this study was to assess the  predictors  of in- hospital mortality among a sample of iranian patients  with spontaneous ich for use at th...

The problem of deriving an upper tolerance limit for a ratio of two normally distributed random variables is addressed, when the random variables follow a bivariate normal distribution, or when they are independent normal. The derivation uses the fact that an upper tolerance limit for a random variable can be derived from a lower confidence limit for the cumulative distribution function (cdf) o...

Various characterizations of the distributions of the ratio of two independent gamma and exponential random variables as well as that of two independent Weibull random variables are presented. These characterizations are based, on a simple relationship between two truncated moments ; on hazard function ; and on functions of order statistics. Mathematics Subject Classification 2000: 46F10

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.