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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F14%3A10284970%21RIV15-MSM-11320___
rdf:type
skos:Concept n17:Vysledek
rdfs:seeAlso
http://dx.doi.org/10.1016/j.jmaa.2014.01.051
dcterms:description
We study convergence behavior of discrete martingales with values in the interval [0,1] from a measure theoretical point of view as well as from a topological one. We show that almost all martingales converge to 0 or 1 almost everywhere. On the other hand, a typical martingale diverges on a comeager set. We study convergence behavior of discrete martingales with values in the interval [0,1] from a measure theoretical point of view as well as from a topological one. We show that almost all martingales converge to 0 or 1 almost everywhere. On the other hand, a typical martingale diverges on a comeager set.
dcterms:title
Convergence of a typical martingale (A remark on the Doob theorem) Convergence of a typical martingale (A remark on the Doob theorem)
skos:prefLabel
Convergence of a typical martingale (A remark on the Doob theorem) Convergence of a typical martingale (A remark on the Doob theorem)
skos:notation
RIV/00216208:11320/14:10284970!RIV15-MSM-11320___
n3:aktivita
n8:P n8:I
n3:aktivity
I, P(GAP201/12/0290), P(GAP201/12/0436)
n3:cisloPeriodika
2
n3:dodaniDat
n9:2015
n3:domaciTvurceVysledku
n16:7213409 n16:3116085
n3:druhVysledku
n10:J
n3:duvernostUdaju
n12:S
n3:entitaPredkladatele
n20:predkladatel
n3:idSjednocenehoVysledku
8895
n3:idVysledku
RIV/00216208:11320/14:10284970
n3:jazykVysledku
n19:eng
n3:klicovaSlova
Doob theorem; Typical behavior; Martingale
n3:klicoveSlovo
n4:Doob%20theorem n4:Typical%20behavior n4:Martingale
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[4DDEAB110668]
n3:nazevZdroje
Journal of Mathematical Analysis and Applications
n3:obor
n6:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n14:GAP201%2F12%2F0290 n14:GAP201%2F12%2F0436
n3:rokUplatneniVysledku
n9:2014
n3:svazekPeriodika
414
n3:tvurceVysledku
Zelený, Miroslav Spurný, Jiří
n3:wos
000334651500030
s:issn
0022-247X
s:numberOfPages
14
n11:doi
10.1016/j.jmaa.2014.01.051
n18:organizacniJednotka
11320