V. Kotelnikova

activity

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

collaborators

6 papers

math.PR2026

On tail behavior of infinite sums of independent indicators

Alexander Iksanov, Valeriya Kotelnikova

Let $Y = \sum_{k \geq 1} 1_{A_{k}}$ be an infinite sum of the indicators of independent events. We investigate a precise (as opposed to logarithmic) first-order asymptotic behavior of th…

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…

math.PR2022★ 1 cited

A law of the iterated logarithm for iterated random walks, with application to random recursive trees

Alexander Iksanov, Zakhar Kabluchko, Valeriya Kotelnikova

Consider a Crump-Mode-Jagers process generated by an increasing random walk whose increments have finite second moment. Let $Y_{k} (t)$ be the number of individuals in generation $k\i…

math.PR2022

Small counts in nested Karlin's occupancy scheme generated by discrete Weibull-like distributions

Alexander Iksanov, Valeriya Kotelnikova

A nested Karlin's occupancy scheme is a symbiosis of classical Karlin's balls-in-boxes scheme and a weighted branching process. To define it, imagine a deterministic weighted branc…

math.PR2021

A functional limit theorem for nested Karlin's occupancy scheme generated by discrete Weibull-like distributions

Alexander Iksanov, Zakhar Kabluchko, Valeriya Kotelnikova

Let $(p_{k})_{k \in N}$ be a discrete probability distribution for which the counting function $x \mapsto # {k \in N : p_{k} \geq 1/ x}$ belongs to the de Haan class $Π$ . C…