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https://hdl.handle.net/20.500.14365/864
Title: | Run Statistics in a Sequence of Arbitrarily Dependent Binary Trials | Authors: | Demir, Sevcan Eryılmaz, Serkan |
Keywords: | Binary trials Exchangeable trials Markov dependent trials Records Runs Urn model Success Runs Order-K Distributions Length Number Polya |
Publisher: | Springer | Abstract: | Let {Z (i) } (ia parts per thousand yen1) be an arbitrary sequence of trials with two possible outcomes either success (1) or failure (0). General expressions for the exact distributions of runs, both success and failure, in Z (1), . . . , Z (n) are presented. Our method is based on the use of joint distribution of success and failure run lengths and unifies the results on distribution of runs. As a special case of our results we obtain the distributions of runs for various binary sequences. As illustrated in the paper the results enable us to derive the distribution of runs for binary trials arising in urn models. | URI: | https://doi.org/10.1007/s00362-008-0191-7 https://hdl.handle.net/20.500.14365/864 |
ISSN: | 0932-5026 1613-9798 |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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