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Generalized sooner waiting time problems in a sequence of trinary trials

Author

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  • Eryilmaz, Serkan
  • Gong, Min
  • Xie, Min

Abstract

Let {ξn,n≥1} be a sequence of independent trials with three possible outcomes 0, 1, 2 labeled as failure, success of type I and success of type II, respectively. Suppose that at each time a success of type I (type II) occurs in {ξn,n≥1} a random reward of type I (type II) is received. We obtain distributions of the number of trials until either the sum of consecutive rewards of type I is equal to or exceeds the level k1 or the sum of consecutive rewards of type II is equal to or exceeds the level k2 under two different schemes.

Suggested Citation

  • Eryilmaz, Serkan & Gong, Min & Xie, Min, 2016. "Generalized sooner waiting time problems in a sequence of trinary trials," Statistics & Probability Letters, Elsevier, vol. 115(C), pages 70-78.
    • Handle: RePEc:eee:stapro:v:115:y:2016:i:c:p:70-78
    DOI: 10.1016/j.spl.2016.04.003
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    Cited by:

    1. Kim, Bara & Kim, Jeongsim, 2019. "Sooner waiting time problems in a sequence of multi-state trials with random rewards," Statistics & Probability Letters, Elsevier, vol. 153(C), pages 171-179.

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