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Title of Journal: Ann Inst Stat Math

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Abbravation: Annals of the Institute of Statistical Mathematics

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Springer Japan

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DOI

10.1007/bf02829863

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1572-9052

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Recursive equations in finite Markov chain imbeddi

Authors: YuFei Hsieh TungLung Wu
Publish Date: 2012/11/15
Volume: 65, Issue: 3, Pages: 513-527
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Abstract

In this paper recursive equations for waiting time distributions of rth occurrence of a compound pattern are studied via the finite Markov chain imbedding technique under overlapping and nonoverlapping counting schemes in sequences of independent and identically distributed iid or Markov dependent multistate trials Using the relationship between number of patterns and rth waiting time distributions of number of patterns can also be obtained The probability generating functions are also obtained Examples and numerical results are given to illustrate our theoretical results

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  4. Conditional independence, conditional mixing and conditional association
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  12. Local c - and E -optimal Designs for Exponential Regression Models
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  16. On sum of 0–1 random variables I. Univariate case
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  18. Testing Homogeneity in Weibull Error in Variables Models
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  20. Proportional odds frailty model and stochastic comparisons
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