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Asymptotic expansions in boundary crossing problems

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Publication:1089667
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DOI10.1214/aop/1176992258zbMath0619.60023OpenAlexW1979467393MaRDI QIDQ1089667

Michael B. Woodroofe, Robert W. Keener

Publication date: 1987

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176992258


zbMATH Keywords

asymptotic expansionsEdgeworth expansionsnonlinear renewal theoryexcess over the boundary


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50)


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First passage time distribution for linear functions of a random walk ⋮ CORRECTED CONFIDENCE SETS FOR SEQUENTIALLY DESIGNED EXPERIMENTS: EXAMPLES1* ⋮ Asymptotic expansions for first passage times ⋮ First passage times for perturbed random walks ⋮ Construction of a Confidence Interval By Triple Sampling ⋮ Nonlinear renewal theory under growth conditions ⋮ Second-order asymptotics in level crossing for differences of renewal processes ⋮ On asymptotic behavior of local probabilities of crossing the nonlinear boundaries by a perturbed random walk ⋮ On the Distribution of the First Passage Time of a Random Walk to an Arbitrary Remote Boundary



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