using nonparametric productivity measurement methods and directional distance functions. In contrast to the existing …

We obtain so far unproved properties of a ratio involving a class of Hermite and parabolic cylinder functions. Those … and parabolic cylinder functions and the eigenfunctions of the infinitesimal generator of the Ornstein-Uhlenbeck process …

consumer behavior by income compensation functions. These different approaches will help to illuminate choice behavior from … quantity index in welfare theory and by distance functions in producer theory. …

Determining distributions of the functions of random variables is one of the most important problems in statistics and … applied mathematics because distributions of functions have wide range of applications in numerous areas in economics, finance … focus on some common distributions such as multivariate normal joint distributions for the functions of dependent random …

'basic' monotone harmonic functions/martingales have been developed. This means that for these processes many control … problems involving dividends, capital injections, etc., may be solved explicitly once the two basic functions have been … computing the basic functions are still lacking outside the Lévy and diffusion classes. This divergence between theoretical and …

Determining distributions of the functions of random variables is a very important problem with a wide range of … and distribution functions for the quotient Y=X1X2 and the ratio of one variable over the sum of two variables Z=X1X1+X2 … . Thereafter, we extend the theory by establishing the density and distribution functions for the quotients Y=X1X2 and Z=X1X1+X2 of …

“basic” monotone harmonic functions/martingales have been developed. This means that for these processes many control … problems involving dividends, capital injections, etc., may be solved explicitly once the two basic functions have been … computing the basic functions are still lacking outside the Lévy and diffusion classes. This divergence between theoretical and …

We obtain so far unproved properties of a ratio involving a class of Hermite and parabolic cylinder functions. Those … and parabolic cylinder functions and the eigenfunctions of the infinitesimal generator of the Ornstein-Uhlenbeck process …