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

Serkan Eryilmaz ()
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Serkan Eryilmaz: Atilim University

Methodology and Computing in Applied Probability, 2018, vol. 20, issue 2, 563-573

Abstract: 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.

Keywords: Binomial distribution of order k; Exchangeable binary random variables; Stochastic ordering; Success runs; 60E05; 62E15 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s11009-017-9576-1

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