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The maximum term and first passage times for autoregressions

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Publication:1168643
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DOI10.1214/aop/1176993781zbMath0493.60049OpenAlexW2021174916MaRDI QIDQ1168643

Mark Finster

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1214/aop/1176993781


zbMATH Keywords

asymptotic distributionfirst passage timeautoregression, maximum term


Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Sums of independent random variables; random walks (60G50) Stopping times; optimal stopping problems; gambling theory (60G40) Limit theorems in probability theory (60F99)


Related Items (3)

Extremes of moving averages of random variables from the domain of attraction of the double exponential distribution ⋮ On the Distribution of the Nearly Unstable AR(1) Process with Heavy Tails ⋮ Limiting distribution of sums of nonnegative stationary random variables




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