Vladimir Vasil'evich Senatov
Abstract
We obtain new asymptotic expansions in the central limit theorem with explicit estimates of the approximation accuracy, which are guaranteed by the expansions. For some of these estimates the statement about their nonimprovability is valid.
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We obtain new asymptotic expansions in the central limit theorem with explicit estimates of the approximation accuracy, which are guaranteed by the expansions. For some of these estimates the statement about their nonimprovability is valid.
Key concepts: Central limit theorem, Mathematics, Asymptotic analysis, Limit (mathematics), Asymptotic expansion, Method of matched asymptotic expansions, Statement (logic), Delta method