Order statisticsdrawn from a sampleof independent random variables with the distribution functionFare considered. Excluding lattice distribution functionsF, the differenceand the order statisticshave the same distribution if and only if. This result is equivalent to a proposition on the PARETO distributions where the differencehas to be substituted by the quotient. It is also the conditionsandthat characterize the distribution functionF(X0+a x) =E(x). As it is shown by an example, the assumption (*) is necessary for this proposition. – The proof of the first proposition provides also the solution of the following problem: “For which (not lattice) distribution functionsFandGholdswhere.