Joint distributions of numbers of success runs of specified lengths in linear and circular se\-quences

DOI10.1007/BF02507029zbMath1083.62011OpenAlexW1969907085MaRDI QIDQ816381

Kiyoshi Inoue, Sigeo Aki

Publication date: 10 March 2006

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

Full work available at URL: https://doi.org/10.1007/bf02507029

zbMATH Keywords

probability functionprobability generating functionBernoulli trialsrecursive schemeenumeration schemesdouble generating functioncircular binomial distribution of order \(k\)circular success runs

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (8)

Markov binomial distribution of order \(k\) and its applications ⋮ Bivariate Fibonacci polynomials of order \(k\) with statistical applications ⋮ Joint distributions of numbers of runs of specified lengths on directed trees ⋮ On the joint distribution of success runs of several lengths in the sequence of MBT and its applications ⋮ On the conditional and unconditional distributions of the number of success runs on a circle with applications ⋮ Mean success run length ⋮ Distributions of Runs and Scans on Higher-Order Markov Trees ⋮ Run Statistics Defined on the Multicolor URN Model

Cites Work

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