Sooner and Later Waiting Time Problems Based on a Dependent Sequence |
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Authors: | Qing Han Sigeo Aki |
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Affiliation: | (1) Department of Informatics and Mathematical Science, Graduate School of Engineering Science, Osaka University, Osaka, 560-8531, Japan |
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Abstract: | This paper introduces a new concept: a binary sequence of order (k,r), which is an extension of a binary sequence of order k and a Markov dependent sequence. The probability functions of the sooner and later waiting time random variables are derived in the binary sequence of order (k,r). The probability generating functions of the sooner and later waiting time distributions are also obtained. Extensions of these results to binary sequence of order (g,h) are also presented. |
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Keywords: | Binary sequence of order (k,r) binary sequence of order k sooner and later waiting time problems probability function probability generating function |
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