eprintid: 21348
rev_number: 12
eprint_status: archive
userid: 2326
dir: disk0/00/02/13/48
datestamp: 2016-06-20 08:27:34
lastmod: 2016-06-20 13:08:35
status_changed: 2016-06-20 08:27:34
type: article
metadata_visibility: show
creators_name: Dümbgen, Lutz
title: Combinatorial Stochastic Processes
subjects: ddc-510
divisions: i-110400
keywords: Random permutation; Symmetrization; Permutation process; Randomized trials; Conservative procedure
abstract: 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.
date: 1994
publisher: Elsevier
id_scheme: DOI
id_number: 10.11588/heidok.00021348
schriftenreihe_cluster_id: sr-10a
schriftenreihe_order: 12
ppn_swb: 1657240983
own_urn: urn:nbn:de:bsz:16-heidok-213481
language: eng
bibsort: DUMBGENLUTCOMBINATOR1994
full_text_status: public
publication: Stochastic processes and their applications
volume: 52
number: 1
place_of_pub: Amsterdam
pagerange: 75-92
issn: 0304-4149
citation:   Dümbgen, Lutz  (1994) Combinatorial Stochastic Processes.  Stochastic processes and their applications, 52 (1).  pp. 75-92.  ISSN 0304-4149     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/21348/1/beitrag.12.pdf