Journal of the Korean Statistical Society

  • 제33권1호
  • /
  • Pages.35-58
  • /
  • 2004
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

DISTRIBUTIONS OF PATTERNS OF TWO FAILURES SEPARATED BY SUCCESS RUNS OF LENGTH $\textit{k}$

  • Sen, Kanwar (Department of Statistics, University of Delhi) ;
  • Goyal, Babita (Department of Statistics, University of Delhi)
  • 발행 : 2004.03.01
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초록

For fixed positive integers and $\textit{k}\;(n\;{\geq}\;{\textit{k}}\;+\;2)$, the exact probability distributions of non-overlapping and overlapping patterns of two failures separated by (i) exactly $textsc{k}$ successes, (ii) at least $\textit{k}$ successes and (iii) at most $\textit{k}$ successes have been obtained for Bernoulli independent and Markov dependent trials by using combinatorial technique. The waiting time distributions for the first occurrence and the $r^{th}$ (r > 1) occurrence of the patterns have also been obtained.

키워드

참고문헌

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