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1 results

  • Run Statistics Defined on the Multicolor URN Model

  • Part of
  • Serkan Eryilmaz
  • Journal:
    Journal of Applied Probability / Volume 45 / Issue 4 / December 2008
    Published online by Cambridge University Press:
    14 July 2016, pp. 1007-1023
    Print publication:
    December 2008
    • Article
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  • Recently, Makri, Philippou and Psillakis (2007b) studied the exact distribution of success run statistics defined on an urn model. They derived the exact distributions of various success run statistics for a sequence of binary trials generated by the Pólya-Eggenberger sampling scheme. In our study we derive the joint distributions of run statistics defined on the multicolor urn model using a simple unified combinatorial approach and extend some of the results of Makri, Philippou and Psillakis (2007b). As a consequence of our results, we obtain the joint distributions of success and failure runs defined on the two-color urn model. The results enable us to compute the characteristics of particular consecutive-type systems and start-up demonstration tests.