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Published in 2018 at "Methodology and Computing in Applied Probability"
DOI: 10.1007/s11009-017-9589-9
Abstract: In this paper, we first establish a useful result on strong convergence for weighted sums of widely orthant dependent (WOD, in short) random variables. Based on the strong convergence that we established and the Bernstein…
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Keywords:
random errors;
random variables;
asymptotic property;
dependent random ... See more keywords
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Published in 2019 at "Topology and its Applications"
DOI: 10.1016/j.topol.2019.02.013
Abstract: We combine aspects of the notions of finite decomposition complexity and asymptotic property C into a notion that we call finite APC-decomposition complexity. Any space with finite decomposition complexity has finite APC-decomposition complexity and any…
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Keywords:
finite apc;
property;
decomposition;
asymptotic property ... See more keywords
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Published in 2018 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080218010134
Abstract: In this paper for μ > 0 we study an asymptotic behavior of the sequence defined as Tn(μ) = (τ(n))−1$${\max _{1 \leqslant t \leqslant \left[ {{n^{1/\mu }}} \right]}}$$max1≤t≤[n1/μ] {τ(n + t)}, where τ(n) denotes the…
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Keywords:
function;
property divisor;
divisor function;
asymptotic property ... See more keywords