Large deviations of uniformly recurrent Markov additive processes
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Publication:1081960
DOI10.1016/0196-8858(85)90017-XzbMath0602.60034MaRDI QIDQ1081960
Peter Ney, Ian Iscoe, Esa Nummelin
Publication date: 1985
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Kullback-Leibler informationlocal limit theoremsMarkov additive processeslogarithmic large deviation result
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Cites Work
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- Large deviations for a general class of random vectors
- On the probability of large deviations in Banach spaces
- Convexity and large deviations
- On non-singular renewal kernels with an application to a semigroup of transition kernels
- Large deviations of functions of Markovian transitions and mathematical programming duality
- Large deviations of the sample mean in general vector spaces
- A renewal approach to the Perron-Frobenius theory of non-negative kernels on general state spaces
- Dominating points and the asymptotics of large deviations for random walk on \(R^ r\).
- R-theory for Markov chains on a general state space. II: r-subinvariant measures for r-transient chains
- Ergodic properties of nonnegative matrices. II
- Limit theorems for semi-Markov processes and renewal theory for Markov chains
- A theorem about probabilities of large deviations with an application to queuing theory
- On the eigenvalues in problems with spherical symmetry. II
- On Deviations of the Sample Mean
- General Irreducible Markov Chains and Non-Negative Operators
- Asymptotic evaluation of certain markov process expectations for large time. IV
- A Convexity Property in the Theory of Random Variables Defined on a Finite Markov Chain
- Exponential decay and ergodicity of general Markov processes and their discrete skeletons
- A splitting technique for Harris recurrent Markov chains
- On Large Deviations from the Invariant Measure
- Limit theorems for semi-Markov processes
- A New Approach to the Limit Theory of Recurrent Markov Chains
- The Martin Boundary for Random Walk
- An Analogue of the Renewal Theorem in Higher Dimensions
- Markov Renewal Processes with Finitely Many States
- Markov additive processes. II
- Markov Renewal Processes: Definitions and Preliminary Properties
- A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations