On number of occurrences of success runs of specified length in a higher-order two-state Markov chain
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Publication:1280570
DOI10.1023/A:1003537831046zbMath0919.60066MaRDI QIDQ1280570
Publication date: 31 August 1999
Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)
probability generating functionbinomial distributionbinomial distribution of order \(k\)discrete distributionhigher-order Markov chain
Characteristic functions; other transforms (60E10) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
Related Items (6)
A unified approach to binomial-type distributions of order k ⋮ Joint distributions of runs in a sequence of higher-order two-state Markov trials ⋮ A combinatorial approach to calculation of moments of characteristics of runs in ternary Markov sequences ⋮ A recursive algorithm for computing the distribution of the number of successes in higher-order Markovian trials ⋮ Waiting time distributions of runs in higher order Markov chains ⋮ Hot-hand effects in sports and a recursive method of computing probabilities for streaks
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