ESTIMATION OF THE REMAINDER TERM IN THE THEOREM FOR THE SUMS OF THE TYPE  \sum f(2^k t)

Author:

Gintautas MISEVI\v{C}IUS, Birut\.{e} KRY\v{Z}IEN\.{E}

2010 Mathematics Subject Classification:

11K41.

Keywords:

conditional characteristic function, conditional expectation, ergodicity coefficient of Markov chain, Rademacher function.

Abstract:

The remainder term in the Central Limit Theorem (CLT) for sums of Rademacher functions is investigated, and the class of functions for which the optimal remainder term takes place is extended.

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Mise-Kryz-2013

Vol. 8 (16), 2013