%0 Journal Article
%@ 0304-4149
%A Dümbgen, Lutz
%C Amsterdam
%D 1994
%F heidok:21348
%I Elsevier
%J Stochastic processes and their applications
%K Random permutation; Symmetrization; Permutation process; Randomized trials; Conservative procedure
%N 1
%P 75-92
%R 10.11588/heidok.00021348
%T Combinatorial Stochastic Processes
%U https://archiv.ub.uni-heidelberg.de/volltextserver/21348/
%V 52
%X Well-known results for sums of independent stochastic processesare extended to processes f1,P(1) + f2,P(2) + ...+ fn,P(n),where f = (fi,j : 1 <= i,j <= n) is a collection of independentstochastic processes fi,j on some set T, and P is a random permutationof {1, 2, ..., n} such that f, P are independent. The general results, auniform Law of Large Numbers and a functional Central Limit Theorem, areapplied to permutation processes and randomized trials.