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Joint distributions of numbers of success-runs and failures until the first consecutive \(k\) successes in a binary sequence

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Publication:1293723
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DOI10.1023/A:1003170829230zbMath0942.62015OpenAlexW2064306566MaRDI QIDQ1293723

Narayanaswamy Balakrishnan

Publication date: 21 August 2000

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1003170829230


zbMATH Keywords

probability generating functionbinary sequence of order kfirst consecutive \(k\)-successes


Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Combinatorial probability (60C05)


Related Items (4)

Joint distributions of runs in a sequence of higher-order two-state Markov trials ⋮ MULTIVARIATE GENERALIZED POLYA DISTRIBUTION OF ORDERk ⋮ A direct method to obtain the joint distribution of successes, failures and patterns in enumeration problems ⋮ On the Joint Distribution of Stopping Times and Stopped Sums in Multistate Exchangeable Trials







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