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- W2076757316 abstract "Abstract Waiting time problems for the occurrence of a pattern have attracted considerable research interest. Several results, including Poisson or Compound Poisson approximations as well as Normal approximations have appeared in the literature. In addition, a number of asymptotic results has been developed by making use of the finite Markov chain imbedding technique and the Perron–Frobenius eigenvalue. In the present paper we present a recursive scheme for the evaluation of the tail probabilities of the waiting time for the first and r-th occurrence of a pattern. A number of asymptotic results (along with their rates of convergence) that do not require the existence of the Perron–Frobenius eigenvalue are also offered. These results cover a quite wide class of pattern waiting time problems and, in most cases, perform better than the ones using the Perron–Frobenius eigenvalue." @default.
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- W2076757316 date "2012-06-01" @default.
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- W2076757316 title "Exact and asymptotic results for pattern waiting times" @default.
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- W2076757316 doi "https://doi.org/10.1016/j.jspi.2011.12.028" @default.
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