1 citations · 1 across the 5 of their papers we have counts for
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Heavy-tail asymptotics for the length of a busy period in a Generalised Jackson Network
Sergey Foss, Masakiyo Miyazawa, Linglong Yuan
We consider a Generalised Jackson Network with finitely many servers, a renewal input and service times at each queue. We assume the network to be stable and, in addition,…
Size distribution of clusters in site-percolation on random recursive tree
Chenlin Gu, Linglong Yuan
We prove rigorously several results about the site-percolation on random recursive trees, observed in the previous work by Kalay and Ben-Naim [J. Phys. A48(2015), no.4, 0405001, 15…
Weak convergence of continuous-state branching processes with large immigration
Clément Foucart, Linglong Yuan
Functional limit theorems are established for continuous-state branching processes with immigration (CBIs), where the reproduction laws have finite first moments and the immigratio…
On a Markov chain related to the individual lengths in the recursive construction of Kingman's coalescent
Linglong Yuan
Kingman's coalescent is a widely used process to model sample genealogies in population genetics. Recently there have been studies on the inference of quantities related to the gen…