Two limit theorems for Markov binomial distribution
DOI10.1007/s10986-015-9291-yzbMath1326.60029OpenAlexW1182612127MaRDI QIDQ746985
Vydas Čekanavičius, Jūrateė Šliogere
Publication date: 22 October 2015
Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10986-015-9291-y
infinitely divisible distributionslimit theoremstotal variation normcompound Poisson approximationgeometric distributionlocal normMarkov binomial distribution
Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
Related Items (4)
Cites Work
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- Compound Poisson and signed compound Poisson approximations to the Markov binomial law
- A compound Poisson convergence theorem for sums of \(m\)-dependent variables
- A compound Poisson convergence theorem
- A general Poisson approximation theorem
- On compound Poisson approximation for sums of random variables
- On the convergence of Markov binomial to Poisson distribution
- Total variation asymptotics for sums of independent integer random variables
- Poisson approximation for expectations of unbounded functions of independent random variables
- Local theorems for the Markov binomial distribution
- Compound Poisson approximation for unbounded functions on a group, with application to large deviations
- Two Uniform Limit Theorems for Sums of Independent Random Variables
- Approximation of Binomial Distributions by Infinitely Divisible Ones
- Approximation in Variation of the Distribution of a Sum of Independent Bernoulli Variables with a Poisson Law
- Approximating kth-order two-state Markov chains
- Compound Poisson limit theorems for Markov chains
- On the Convergence of Binomial to Poisson Distributions
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