The use of Fourier transforms for deriving probability densities of sums and differences of random variables is well known. The use of Mellin transforms to derive densities for products and quotients of random variables is less well known. We present the relationship between the Fourier and Mellin transform, and discuss the use of these transforms in deriving densities for algebraic combination...

in this paper, we derive rst some results on the shannon entropyin order statistics and their concomitants arising from a sequence of f(xi; yi): i = 1; 2; :::g independent and identically distributed (iid) random variablesfrom the bivariate normal distribution and extend our results to a collectionc(x; y ) = f(xr1:n; y[r1:n]); (xr2:n; y[r2:n]); :::; (xrk:n; y[rk:n])g of order sta-tistics and t...

enables to reconstruct the whole sequence X1, ...,Xn (rather than the sample up to a permutation) makes of Pn a very flexible tool to represent complex and highly non-symmetric statistics. One can, for instance think of two-sample sequential rank statistics, V -statistics or fractional ARIMA processes as treated in Barbe and Broniatowski [1997] , [1998a] and [1998b]. In these references, sequen...