Abstract In the area of stress-strength models there has been a large amount of work as regards estimation of the reliability R = Pr( X Y ). The algebraic form for R = Pr( X Y ) has been worked out for the vast majority of the well-known distributions when X and Y are independent random...

Abstract The distribution of the ratio is derived when X and Y are logistic and Bessel function random variables distributed independently of each other. The distribution is of interest in econometrics, and ranking and selection problems.

We note that the Kotz type distribution in the class of elliptical distributions can be interpreted as being generated by the Weibull or Type III extreme value distribution. Based on this observation, we develop two new elliptical distributions based on the Type I and Type II extreme value...

Purchase frequency modeling began with the pioneering work of Ehrenberg [Ehrenberg, A.S.C., 1959. The pattern of consumer purchases. Applied Statistics 8, 26-41]. This note provides an extension of this work. A collection of some seventeen flexible distributions is discussed for purchase...

Two new distributions which contain several of the known generalizations of the beta distribution as particular cases are introduced. Various structural properties of each distribution are derived, including its cdf, moment generating function, characteristic function, moments, mean deviation...