Lengths of runs and waiting time distributions by using Pólya-Eggenberger sampling scheme

DOI10.1556/SSCMATH.39.2002.3-4.5zbMath1026.60019MaRDI QIDQ4432113

Kanwar Sen, Sonali Chakraborty, Manju Lata Agarwal

Publication date: 14 October 2003

Published in: Studia Scientiarum Mathematicarum Hungarica (Search for Journal in Brave)

zbMATH Keywords

lattice path approachPólya-Eggenberger sampling schemesuccess and failure runs`balls into cells' techniquelongest and smallest runssooner and later waiting time distributions

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Characteristic functions; other transforms (60E10)

Related Items (13)

Generalized waiting time distributions associated with runs ⋮ Stochastic ordering among success runs statistics in a sequence of exchangeable binary trials ⋮ Minimum and maximum distances between failures in binary sequences ⋮ Run statistics in a sequence of arbitrarily dependent binary trials ⋮ Shortest and longest length of success runs in binary sequences ⋮ Distribution of runs in a sequence of exchangeable multi-state trials ⋮ Geometric distribution of order \(k\) with a reward ⋮ Distribution of run statistics in partially exchangeable processes ⋮ On success runs of length exceeded a threshold ⋮ On success runs of a fixed length in Bernoulli sequences: exact and asymptotic results ⋮ Success run statistics defined on an urn model ⋮ \(g\)-geometric and \(g\)-binomial distributions of order image ⋮ Run Statistics Defined on the Multicolor URN Model

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