26 citations · 26 across the 5 of their papers we have counts for
5 papers
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…
Palm theory for extremes of stationary regularly varying time series and random fields
Hrvoje Planinić
The tail process of a stationary regularly varying random field $\boldsymbol{X}=(X_{\boldsymbol{i}})_{\boldsym…
Statistical inference of subcritical strongly stationary Galton--Watson processes with regularly varying immigration
Matyas Barczy, Bojan Basrak, Péter Kevei +2
We describe the asymptotic behavior of the conditional least squares estimator of the offspring mean for subcritical strongly stationary Galton--Watson processes with regularly var…
Compound Poisson approximation for regularly varying fields with application to sequence alignment
Bojan Basrak, Hrvoje Planinić
The article determines the asymptotic shape of the extremal clusters in stationary regularly varying random fields. To deduce this result, we present a general framework for the Po…
A note on vague convergence of measures
Bojan Basrak, Hrvoje Planinić
We propose a new approach to vague convergence of measures based on the general theory of boundedness due to Hu (1966). The article explains how this connects and unifies several f…