A unified approach to binomial-type distributions of order k

DOI10.1080/03610920008832586zbMath1001.60019OpenAlexW2123090054MaRDI QIDQ4541754

Sung-Il Han, Sigeo Aki

Publication date: 28 July 2002

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610920008832586

zbMATH Keywords

probability generating functionMarkov chainconditional probability generating function\(l\)-overlapping countingbinomial-type distributions of order \(k\)

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Combinatorial probability (60C05)

Related Items (6)

Weak runs in sequences of binary trials ⋮ On ℓ-overlapping Runs of Ones of Lengthkin Sequences of Independent Binary Random Variables ⋮ Joint distributions of runs in a sequence of higher-order two-state Markov trials ⋮ Applications of Fuss-Catalan numbers to success runs of Bernoulli trials ⋮ Polya, Inverse Polya, and Circular Polya Distributions of Orderkforl-Overlapping Success Runs ⋮ On binomial and circular binomial distributions of order \(k\) for \(l\)-overlapping success runs of length \(k\)

Cites Work

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• On binomial distributions of order k
• On number of occurrences of success runs of specified length in a higher-order two-state Markov chain
• The exact and asymptotic distribution of overlapping success runs
• New polya and inverse polya distributions of order k
• Successes, runs and longest runs

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