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Moderate and large deviation estimate for the Markov-binomial distribution. (English) Zbl 1196.60042

Summary: Considering the Markov-binomial distribution, we obtain the moderate deviation and large deviation estimates for the number of successes \(S_{n}\) and the number of experiments \(Y(r)\) until the \(r\)th success.

MSC:

60F10 Large deviations
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)
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References:

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