Joint distributions associated with patterns, successes and failures in a sequence of multi-state trials
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Publication:1881010
DOI10.1007/BF02530529zbMath1057.60014OpenAlexW2044012026MaRDI QIDQ1881010
Publication date: 27 September 2004
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02530529
waiting timepatternenumeration schemesdouble generating functionruntransition probability matricesMarkov chain imbedding method
Geometric probability and stochastic geometry (60D05) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05)
Related Items (10)
Weak runs in sequences of binary trials ⋮ A direct method to obtain the joint distribution of successes, failures and patterns in enumeration problems ⋮ On waiting time distributions for patterns in a sequence of multistate trials ⋮ Joint distributions of numbers of runs of specified lengths in a sequence of Markov dependent multistate trials ⋮ Distributions related to \((k_{1},k_{2})\) events ⋮ On the Joint Distribution of Stopping Times and Stopped Sums in Multistate Exchangeable Trials ⋮ Distributions of simple patterns in some kinds of exchangeable sequences ⋮ On Generating Functions of Waiting Times and Numbers of Occurrences of Compound Patterns in a Sequence of Multistate Trials ⋮ The reliability of a generalized consecutive system ⋮ On waiting time distributions associated with compound patterns in a sequence of multi-state trials
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