Distribution of run statistics in partially exchangeable processes

DOI10.1007/S00184-009-0278-8zbMath1213.62024OpenAlexW2047837157MaRDI QIDQ537522

Serkan N. Eryılmaz, Femin Yalcin

Publication date: 20 May 2011

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00184-009-0278-8

zbMATH Keywords

Markov chainexchangeabilitypartial exchangeabilityde Finetti representationlongest run

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Exchangeability for stochastic processes (60G09)

Related Items (10)

On the length and the position of the minimum sequence containing all runs of ones in a Markovian binary sequence ⋮ On runs of ones defined on a \(q\)-sequence of binary trials ⋮ On monotonicity of expected values of some run-related distributions ⋮ On ℓ-overlapping Runs of Ones of Lengthkin Sequences of Independent Binary Random Variables ⋮ Distributions of statistics describing concentration of runs in non homogeneous Markov-dependent trials ⋮ Joint distribution of run statistics in partially exchangeable processes ⋮ Joint distribution of \(k\)-tuple statistics in zero-one sequences of Markov-dependent trials ⋮ Geometric distribution of order \(k\) with a reward ⋮ Distributions of simple patterns in some kinds of exchangeable sequences ⋮ Length of the minimum sequence containing repeats of success runs

Cites Work

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• Run statistics in a sequence of arbitrarily dependent binary trials
• Distribution of runs in a sequence of exchangeable multi-state trials
• De Finetti's theorem for Markov chains
• Parametric partially exchangeable models for multiple binary sequences
• Shortest and longest length of success runs in binary sequences
• Mean success run length
• On the normal approximation for the distribution of the number of simple or compound patterns in a random sequence of multi-state trials
• Polya, Inverse Polya, and Circular Polya Distributions of Orderkforl-Overlapping Success Runs
• Assessing the Order of Dependence for Partially Exchangeable Binary Data
• Lengths of runs and waiting time distributions by using Pólya-Eggenberger sampling scheme
• Success run statistics defined on an urn model
• Run Statistics Defined on the Multicolor URN Model
• Invariants Under Mixing which Generalize de Finetti's Theorem
• Distribution of Runs and Longest Runs

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