Pseudo-Poisson approximation for Markov chains
From MaRDI portal
Publication:1915830
DOI10.1016/0304-4149(95)00065-8zbMath0849.60019OpenAlexW2059608854MaRDI QIDQ1915830
Dietmar Pfeifer, Konstantin A. Borovkov
Publication date: 1 July 1996
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0304-4149(95)00065-8
Central limit and other weak theorems (60F05) Continuous-time Markov processes on general state spaces (60J25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
Related Items
Signed Poisson approximations for Markov chains, Compound Poisson approximation for unbounded functions on a group, with application to large deviations, An expansion in the exponent for compound binomial approximations, Infinitely divisible approximations for discrete nonlattice variables
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some Poisson approximations using compensators
- A semigroup approach to Poisson approximation
- Precision of approximation of the generalized binomial distribution by convolutions of Poisson measures
- On a relationship between Uspensky's theorem and Poisson approximations
- On the optimality of multivariate Poisson approximation
- An approximation theorem for the Poisson binomial distribution
- The Poisson Theorem and Markov Chains
- Approximation of Binomial Distributions by Infinitely Divisible Ones
- On the rate of Poisson convergence
- General Irreducible Markov Chains and Non-Negative Operators
- Refinement of Poisson Approximation
- On the limit of the Markov binomial distribution
- Poisson Limit Law for a Scheme of Sums of Dependent Random Variables
- Some Elementary Results on Poisson Approximation in a Sequence of Bernoulli Trials
- Approximation of a Generalized Binomial Distribution
- Approximation der Verteilungen von Summen unabhängiger nichtnegativer ganzzahliger Zufallsgrößen durch Poissonsche Verteilungen
- Verallgemeinerung eines Satzes von Prochorow und Le Cam
- A unification of some approaches to Poisson approximation
- Compound Poisson approximations for sums of random variables
- Compound Poisson approximations for sums of random variables