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Stochastic Ordering Among Success Runs Statistics in a Sequence of Exchangeable Binary Trials

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Abstract

A new scheme-distribution-based representation is presented for the cumulative distribution function of the number of success runs of length k in a sequence of exchangeable binary trials. By utilizing this new representation, some stochastic ordering results are obtained to compare success runs. The results are illustrated for beta-binomial distributions of order k.

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Acknowledgements

The author thanks the referees for their helpful comments and suggestions, which were very useful in improving this article.

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Authors and Affiliations

  1. Department of Industrial Engineering, Atilim University, 06836 Incek, Ankara, Turkey

    Serkan Eryilmaz

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  1. Serkan Eryilmaz
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Correspondence to Serkan Eryilmaz.

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Eryilmaz, S. Stochastic Ordering Among Success Runs Statistics in a Sequence of Exchangeable Binary Trials. Methodol Comput Appl Probab 20, 563–573 (2018). https://doi.org/10.1007/s11009-017-9576-1

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  • DOI: https://doi.org/10.1007/s11009-017-9576-1

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