V. Kotelnikova

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20212026

most citedLaws of the iterated and single logarithm for sums of independent indicators, with applications to the Ginibre point process and Karlin's occupancy scheme

2 citations · 3 across the 6 of their papers we have counts for

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math.PR2023

A law of the iterated logarithm for small counts in Karlin's occupancy scheme

Alexander Iksanov, Valeriya Kotelnikova

In the Karlin infinite occupancy scheme, balls are thrown independently into an infinite array of boxes $1$ , $2, \dots$ , with probability $p_{k}$ of hitting the box $k$ . For $j,n\in\…

math.PR2023★ 2 cited

Laws of the iterated and single logarithm for sums of independent indicators, with applications to the Ginibre point process and Karlin's occupancy scheme

Dariusz Buraczewski, Alexander Iksanov, Valeriya Kotelnikova

We prove a law of the iterated logarithm (LIL) for an infinite sum of independent indicators parameterized by $t$ as $t \to \infty$ . It is shown that if the expectation $b$ and the v…