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DISTRIBUTIONS OF PATTERNS OF TWO FAILURES SEPARATED BY SUCCESS RUNS OF LENGTH $\textit{k}$
Sen, Kanwar,Goyal, Babita The Korean Statistical Society 2004 Journal of the Korean Statistical Society Vol.33 No.1
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.
Distributions of Patterns of Two Failures Separated by Success Runs of Length k
Kanwar Sen,Babita Goyal 한국통계학회 2004 Journal of the Korean Statistical Society Vol.33 No.1
For xed positive integersn and k (n k + 2), the exact probabilitydistributions of non-overlapping and overlapping patterns of two failuresseparated by (i) exactlyk successes, (ii) at leastk successes and (iii) atmostk successes have been obtained for Bernoulli independent and Markovdependent trials by using combinatorial technique. The waiting time dis-tributions for the rst occurrence and therth (r > 1) occurrence of thepatterns have also been obtained.