We study a general model of recursive trees where vertices are equipped with independent weights and at each time-step a vertex is sampled with probability proportional to its fitness function, which is a function of its weight and degree, and connec…
We study a general model of recursive trees where vertices are equipped with independent weights and at each time-step a vertex is sampled with probability proportional to its fitness function, which is a function of its weight and degree, and connec…
We consider a dual risk model with constant expense rate and i.i.d. exponentially distributed gains
(
) that arrive according to a renewal process with general interarrival times. We add to this classical dual risk model the proportional ga…
We consider a dual risk model with constant expense rate and i.i.d. exponentially distributed gains
(
) that arrive according to a renewal process with general interarrival times. We add to this classical dual risk model the proportional ga…
Suppose that m drivers each choose a preferred parking space in a linear car park with n spots. In order, each driver goes to their chosen spot and parks there if possible, and otherwise takes the next available spot if it exists. If all drivers park s…
Given a spectrally negative Lévy process, we predict, in an
sense, the last passage time of the process below zero before an independent exponential time. This optimal prediction problem generalises [2], where the infinite-horizon problem is so…
Given a spectrally negative Lévy process, we predict, in an
sense, the last passage time of the process below zero before an independent exponential time. This optimal prediction problem generalises [2], where the infinite-horizon problem is so…
The invariant Galton–Watson (IGW) tree measures are a one-parameter family of critical Galton–Watson measures invariant with respect to a large class of tree reduction operations. Such operations include the generalized dynamical pruning (also known …