This article is cited in 1 paper

On the Necessity of the Lindeberg Condition for the Normal Convergence of Martingales

V. M. Kruglov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: We give conditions on square-integrable martingales whose consequence is the “conditional” Lindeberg condition.

UDC: 519.2

Received: 07.07.2000

DOI: 10.4213/mzm718

 English version: Mathematical Notes, 2001, 70:1, 46–52

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