Deviation inequalities for centered additive functionals of recurrent Harris processes having general state space
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Publication:2428526
DOI10.1007/s10959-010-0310-yzbMath1244.60076arXiv0903.2408OpenAlexW2090916000MaRDI QIDQ2428526
Dasha Loukianova, Eva Löcherbach
Publication date: 26 April 2012
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.2408
additive functionalsspecial functionscontinuous time Markov processesHarris recurrencedeviation inequalitiesNummelin splittingdeterministic equivalent for additive functionals
Large deviations (60F10) Local time and additive functionals (60J55) Transition functions, generators and resolvents (60J35)
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Cites Work
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- Polynomial bounds in the Ergodic theorem for one-dimensional diffusions and integrability of hitting times
- Deterministic equivalents of additive functionals of recurrent diffusions and drift estimation
- Loi fonctionnelle du logarithme itéré pour les processus de Markov récurrents. (Functional iterated logarithm law for recurrent Markov processes)
- On Nummelin splitting for continuous time Harris recurrent Markov processes and application to kernel estimation for multi-dimensional diffusions
- Subgeometric rates of convergence of \(f\)-ergodic strong Markov processes
- Minimum contrast estimators on sieves: Exponential bounds and rates of convergence
- The functional moderate deviations for Harris recurrent Markov chains and applications.
- How often does a Harris recurrent Markov chain recur?
- Moderate deviations for Markov chains with atom.
- The law of iterated logarithm for additive functionals and martingale additive functionals of Harris recurrent Markov processes
- Examples of moderate deviation principle for diffusion processes
- Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
- [https://portal.mardi4nfdi.de/wiki/Publication:4162257 Fonctionnelles additives sp�ciales des processus r�currents au sens de Harris]
- Limit theorems for null recurrent Markov processes
- Penalized nonparametric drift estimation for a continuously observed one-dimensional diffusion process
