53 citations · 97 across the 14 of their papers we have counts for
22 papers
On generalized arcsine laws and residual allocation models
Bojan Basrak
Based on their earlier studies of the arcsine law, Pitman and Yor in \cite{PY97} constructed a widely adopted PD( family of random mass-partitions with parameters $α\in [0,1…
Foundations of regular variation on topological spaces
Bojan Basrak, Nikolina Milinčević, Ilya Molchanov
Since its introduction by J. Karamata, regular variation has evolved from a purely mathematical concept into a cornerstone of theoretical probability and data analysis. It is exten…
On renewal theory for cluster processes
Bojan Basrak, Marina Dajaković
We prove several forms of renewal theorem tailored to renewal processes with marks and clusters. In particular, for an i.i.d. sequence , where denotes a…
Extremal behavior of stationary marked point processes
Bojan Basrak, Ilya Molchanov, Hrvoje Planinić
We consider stationary configurations of points in Euclidean space which are marked by positive random variables called scores. The scores are allowed to depend on the relative pos…
On extremes of random clusters and marked renewal cluster processes
Bojan Basrak, Nikolina Milinčević, Petra Žugec
The article describes the limiting distribution of the extremes of observations that arrive in clusters. We start by studying the tail behaviour of an individual cluster and then w…
Importance sampling for maxima on trees
Bojan Basrak, Michael Conroy, Mariana Olvera-Cravioto +1
We consider the distributional fixed-point equation: where the are i.i.d.~copies of , in…