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Teoriya Veroyatnostei i ee Primeneniya, 1971, Volume 16, Issue 1, Pages 108–116
(Mi tvp1972)
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This article is cited in 5 scientific papers (total in 5 papers)
On estimation of the remainder in the central limit theorem for sums of functions of independent random variables and sums of the form $\Sigma f(t2^k)$
V. I. Ladohin, D. A. Moskvin Kazan
Abstract:
The result of [2] is generalized to the case of sums of functions of independent identically distributed random variables. The dependence of the remainder on $x$ in the theorem of [1] concerning sums of the form $\Sigma f(t2^k)$ is also investigated. In proofs, limit theorems for differently distributed independent summands are used instead of the characteristic function method.
Received: 19.03.1969
Citation:
V. I. Ladohin, D. A. Moskvin, “On estimation of the remainder in the central limit theorem for sums of functions of independent random variables and sums of the form $\Sigma f(t2^k)$”, Teor. Veroyatnost. i Primenen., 16:1 (1971), 108–116; Theory Probab. Appl., 16:1 (1971), 116–125
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Abstract page: | 156 | Full-text PDF : | 63 | First page: | 1 |
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