On sequences of 'pure heads'

DOI10.1214/aop/1176996304zbMath0335.60022OpenAlexW2083303608MaRDI QIDQ1229513

Gábor Tusnády, János Komlós

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1214/aop/1176996304

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Large deviations (60F10)

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Some applications of the classical formula on ruin probabilities ⋮ A limit theorem on the number of overlapping appearances of a pattern in a sequence of independent trials ⋮ Asymptotic independence of 'pure head' stopping times ⋮ Limit laws for sums of independent random products: the lattice case ⋮ Max-stable processes and stationary systems of Lévy particles ⋮ Long repetitive patterns in random sequences ⋮ The limit distribution of the length of the longest head-run ⋮ Limiting distribution for the maximal standardized increment of a random walk ⋮ Scan statistics of Lévy noises and marked empirical processes ⋮ Large deviation behavior for the longest head run in an IID Bernoulli sequence