3 papers
math.ST2019
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…
math.PR2018
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…
math.PR2018
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…