Natalia Soja-Kukieła

activity

20172020

collaborators

3 papers

math.PR2020

Directional phantom distribution functions for~stationary random fields

Adam Jakubowski, Igor Rodionov, Natalia Soja-Kukieła

We give necessary and sufficient conditions for the existence of a phantom distribution function for a stationary random field on a regular lattice. We also introduce a less demand…

math.PR2018

On maxima of stationary fields

Natalia Soja-Kukieła

Let ${X_{n} : n \in Z^{d}}$ be a weakly dependent stationary field with maxima $M_{A} := sup {X_{i} : i \in A}$ for finite $A\subset\mat…

math.PR2017

Asymptotics of the order statistics for a process with a regenerative structure

Natalia Soja-Kukieła

In the paper, a regenerative process ${X_{n} : n \in N}$ with finite mean cycle length is considered. For~ $M_{n}^{(q)}$ denoting the $q$ -th largest value in $\{X_k : 1\leqslant…