This article is cited in 1 scientific paper (total in 1 paper)
Remarks on Wiener's and Blackwell's Theorems
A. A. Borovkov
The paper consists of two parts. In the first part conditions are discussed, for which an analytical transformation of a function, presented as an absolutely convergent Fourier series, retains asymptotic behavior of its coefficients. In the second part these conditions are used for seeking the asymptotic behavior of the remainder term in Blackwell's limit theorem. Some statements are also made therein describing the behavior of conditional mean of the first passage time in the random walk with jumps which on the average are negative.
PDF file (582 kB)
Theory of Probability and its Applications, 1964, 9:2, 303–312
A. A. Borovkov, “Remarks on Wiener's and Blackwell's Theorems”, Teor. Veroyatnost. i Primenen., 9:2 (1964), 331–343; Theory Probab. Appl., 9:2 (1964), 303–312
Citation in format AMSBIB
\paper Remarks on Wiener's and Blackwell's Theorems
\jour Teor. Veroyatnost. i Primenen.
\jour Theory Probab. Appl.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
V. A. Vatutin, V. A. Topchiǐ, “Catalytic branching random walks in $\mathbb Z^d$ with branching at the origin”, Siberian Adv. Math., 23:2 (2013), 125–153
|Number of views:|