24 citations · 195 across the 74 of their papers we have counts for
6 papers · 2 filters
On intermediate levels of nested occupancy scheme in random environment generated by stick-breaking: the case of heavy tails
Oksana Braganets, Alexander Iksanov
We investigate a nested balls-in-boxes scheme in a random environment. The boxes follow a nested hierarchy, with infinitely many boxes in each level, and the hitting probabilities…
Limit theorems for random Dirichlet series: boundary case
Alexander Iksanov, Ruslan Kostohryz
Buraczewski et al (2023) proved a functional limit theorem (FLT) and a law of the iterated logarithm (LIL) for a random Dirichlet series as…
A law of the iterated logarithm for the number of blocks in regenerative compositions generated by gamma-like subordinators
Alexander Iksanov, Wissem Jedidi
The points of the closed range of a drift-free subordinator with no killing are used for separating into blocks the elements of a sample of size from the standard exponential d…
Convolution powers of unbounded measures on the positive half-line
Dariusz Buraczewski, Alexander Iksanov, Alexander Marynych
For a right-continuous nondecreasing and unbounded function of at most exponential growth, which vanishes on the negative halfline, we investigate the asymptotic behavior of th…
Multinomial random combinatorial structures and -versions of Stirling, Eulerian and Lah numbers
Alexander Iksanov, Zakhar Kabluchko, Alexander Marynych +1
We introduce multinomial and -variants of several classic objects of combinatorial probability, such as the random recursive and Hoppe trees, random set partitions and compositi…
On decoupled standard random walks
Gerold Alsmeyer, Alexander Iksanov, Zakhar Kabluchko
Let , , be a standard random walk with i.i.d. nonnegative increments and associated renewal counting process $N(t)=\…