Exact and approximate runs distributions

DOI10.1080/03610929208830904zbMath0777.62021OpenAlexW2020517469MaRDI QIDQ4202726

Anant P. Godbole, Michelle C. Gornowicz

Publication date: 19 December 1993

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

Full work available at URL: https://doi.org/10.1080/03610929208830904

zbMATH Keywords

couplingnormal approximationStein-Chen methodBerry-Esséen theoremPoisson limit theorem\(m\)-dependent random variablesnumber of runsBernoulli \((p)\) trialsconvolution of two negative binomial random variablesrate of sup norm convergencesum of 1-dependent indicatorstotal variation error bounds

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Exact distribution theory in statistics (62E15)

Related Items (2)

Discriminating between sequences of bernoulli and markov-bernoulli trials ⋮ On the conditional and unconditional distributions of the number of runs in a sample from a multisymbol alphabet

Cites Work

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• A note on the upper bound for the distance in total variation between the binomal and the Poisson distribution
• Multiple comparisons and sums of dissociated random variables
• On a Test Whether Two Samples are from the Same Population

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