Convergence theorems for the lengths of consecutive successes of Markov Bernoulli sequences

淡江大學機構典藏 > 理學院 > 數學學系暨研究所 > 期刊論文 > Item 987654321/41269

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题名:	Convergence theorems for the lengths of consecutive successes of Markov Bernoulli sequences
作者:	陳順益;Chen, Shun-yi;Wang, Y. H.;Chang, H. F.
贡献者:	淡江大學數學學系
关键词:	Limit theorem;Poisson limit;consecutive successes of length k;sum of random variables;reliability
日期:	2003-09
上传时间:	2010-01-28 07:08:14 (UTC+8)
出版者:	Applied Probability Trust
摘要:	The limiting distributions of the sums of the lengths of four different kinds of runs of consecutive successes of Markov Bernoulli sequences are derived. It is shown that the limits are convolutions of several distributions involving the Bernoulli, the geometric and the Poisson or compound Poisson distributions.
關聯:	Journal of Applied Probability 40(3), pp.741-749
DOI:	10.1239/jap/1059060899
显示于类别:	[數學學系暨研究所] 期刊論文

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