Poisson type approximations for the Markov binomial distribution (Q1001845)
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scientific article; zbMATH DE number 5509505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poisson type approximations for the Markov binomial distribution |
scientific article; zbMATH DE number 5509505 |
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Poisson type approximations for the Markov binomial distribution (English)
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19 February 2009
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Let \(\xi _0 ,\xi _1 ,\dots ,\xi _n ,\dots \) be a Markov chain with two states 0 and 1. The distribution of \(S_n = \xi _1 + \dots + \xi _n \) is called the Markov binomial distribution. The purpose of the paper is the estimation of accuracy of Poisson approximation and various two-parametric Poisson type approximation to the Markov binomial distribution. The estimates are obtained in the total variation, local and Wasserstein norms.
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Markov binomial distribution
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Poisson approximation
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translated Poisson distribution
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signed compound Poisson measure
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total variation norm
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local norm
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Wasserstein norm
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0.9326565
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0.9320417
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0.9310569
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0.92829764
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0.9267595
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0.9263625
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