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On almost sure convergence of asymptotic martingales

1993
Summary: The aim of this paper is to give a characterization of almost sure convergence for sequences of random variables, which do not necessarily have first moments. An example of such characterization was given by \textit{I. A. Dzhvarsheishvili} [Theory Probab. Appl. 33, 260-269 (1988)], where a notion of a \(D_v\)-amart was introduced. We show that
Kruk, Łukasz, Zięba, Wiesław (1950- )
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Convergence rates in precise asymptotics II

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2013
Allan Gut, Josef Steinebach
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