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 …

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 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 …

-Douglas and constant elasticity of substitution of types of production functions could not be interpreted as partial elasticities …

bound method. Our results apply to continuously differentiable objective functions implemented as computer programs. A …

making problems, where different preferences of objective functions at each location are assumed. Moreover, we present a …

) functions have been regarded as symmetric. In addition, we present results about the marginals and conditionals of symmetrically …

and change the locations of metropolitan functions in urban regions, this article examines: (i) how pronounced the process … of the regionalisation of metropolitan functions is; (ii) in which sub‐areas of a surrounding region the regionalisation … of metropolitan functions can be observed and (iii) which places are anchor points of metropolitan regionalisation. The …