The quotient of random variables with normal distributions is examined and proven to have have power law decay, with density f(x)~f_0 x^(-2), with the coefficient depending on the means and variances of the numerator and denominator, and their correlation. We also obtain the conditional...

We propose a new weighting function, generalized Wang transform, derived from normality invariance. This function takes various shapes, including concave, convex, S-shaped and inverse S-shaped functions, depending on the range of parameters and distinguishes the curvature and elevation of...