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A note on convergence to stationarity of random processes with immigration

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Publication:2822239
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zbMath1363.60017arXiv1509.07321MaRDI QIDQ2822239

Alexander Marynych

Publication date: 27 September 2016

Full work available at URL: https://arxiv.org/abs/1509.07321


zbMATH Keywords

weak convergenceSkorokhod spaceprocesses with immigrationrenewal shot noise processstationary renewal processrandom marked point process


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Renewal theory (60K05)


Related Items (5)

A functional limit theorem for random processes with immigration in the case of heavy tails ⋮ Fractionally integrated inverse stable subordinators ⋮ Functional limit theorems for the number of busy servers in a G/G/∞ queue ⋮ Stationary limits of shot noise processes ⋮ Shot noise processes with randomly delayed cluster arrivals and dependent noises in the large-intensity regime




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