The exact and asymptotic distribution of overlapping success runs

DOI10.1080/03610929208830825zbMath0800.62068OpenAlexW2016766409MaRDI QIDQ3135626

Anant P. Godbole

Publication date: 11 October 1993

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

Full work available at URL: https://doi.org/10.1080/03610929208830825

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15)

Related Items (7)

On the distribution of the total number of run lengths ⋮ Berry-Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences ⋮ A unified approach to binomial-type distributions of order k ⋮ Joint distributions of numbers of success-runs and failures until the first consecutive \(k\) successes ⋮ Non-parametric randomness tests based on success runs of fixed length ⋮ Discriminating between sequences of bernoulli and markov-bernoulli trials ⋮ Polya, Inverse Polya, and Circular Polya Distributions of Orderkforl-Overlapping Success Runs

Cites Work

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• Specific formulae for some success run distributions
• On binomial distributions of order k
• A new class of negative binomial distributions of order k
• Two moments suffice for Poisson approximations: The Chen-Stein method
• The asymptotic distributions of incomplete U-statistics
• Poisson approximations for runs and patterns of rare events
• Multiple comparisons and sums of dissociated random variables
• m-consecutive-k-out-of-n:F systems
• The Distribution Theory of Runs
• Successes, runs and longest runs

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