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双变量序列上成功游程的联合分布(英文)

Joint Distributions of Success Runs in a Sequence of Bivariate Trials
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摘要 在一个双变量 { 0 ,1}取值的序列中在二个分量上作者考虑长度分别为k1,k2 的成功游程的分布问题。对于非重叠计数的游程向量 ,获得其联合分布。该文的方法可推广到马氏相关序列和多变量序列也能用于其它的游程。 In this paper we consider the number of success runs of length k 1 in the first component and the number of success runs of length k 2 in the second component in a sequence of bivariate {0,1} 2-valued trials. By using a Markov chain imbedding method, we obtain the joint distributions of the success run vector. The method can be extended to a Markov dependent sequence and a sequence of multivariate trials.
作者 韩清
出处 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第1期1-8,共8页 Journal of East China Normal University(Natural Science)
关键词 成功游程 k阶分布 双变量试验 双变量序列 联合分布 游程向量 success runs distributions of order k Markov chain imbedding method probability generating function bivariate trials
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参考文献3

  • 1Qing Han,Sigeo Aki. Joint Distributions of Runs in a Sequence of Multi-State Trials[J] 1999,Annals of the Institute of Statistical Mathematics(3):419~447
  • 2Sigeo Aki,Katuomi Hirano. Sooner and Later Waiting Time Problems for Runs in Markov Dependent Bivariate Trials[J] 1999,Annals of the Institute of Statistical Mathematics(1):17~29
  • 3M. V. Koutras,V. A. Alexandrou. Runs, scans and URN model distributions: A unified Markov chain approach[J] 1995,Annals of the Institute of Statistical Mathematics(4):743~766

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