Large deviations in a population dynamics with catastrophes

DOI10.1016/j.spl.2019.01.029zbMath1448.60066arXiv1911.06769OpenAlexW2913619094MaRDI QIDQ2322567

Yanyan Li

Publication date: 5 September 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.06769

zbMATH Keywords

large deviation principlecatastrophespopulation modelslocal large deviation principle

Mathematics Subject Classification ID

Strong limit theorems (60F15) Large deviations (60F10) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (8)

Analysis of a population model with batch Markovian arrivals influenced by Markov arrival geometric catastrophes ⋮ Markovian arrival process subject to renewal generated binomial catastrophes ⋮ Large deviations for Lévy diffusions in the small noise regime ⋮ Local large deviation principle for Wiener process with random resetting ⋮ The local principle of large deviations for compound Poisson process with catastrophes ⋮ The Kramers problem for SDEs driven by small, accelerated Lévy noise with exponentially light jumps ⋮ Analysis of base-stock perishable inventory systems with general lifetime and lead-time ⋮ Transient analysis of an affine queue-Hawkes process

Cites Work

• Unnamed Item
• A random walk with catastrophes
• Birth, immigration and catastrophe processes

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