A note of the behavior of sample statistics when the population mean is infinite

DOI10.1214/aop/1176993388zbMath0551.60034OpenAlexW1990260788MaRDI QIDQ801379

Jeesen Chen, Herman Rubin

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1214/aop/1176993388

zbMATH Keywords

asymptotic behaviournonexistence of momentssample statistics

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15)

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Bootstrapping the Student \(t\)-statistic ⋮ The Chow and Robbins Fixed Width Confidence Interval Procedure When the Second Moment Barely Does Not Exist ⋮ The Hurst phenomenon and the rescaled range statistic ⋮ Convergence of self-normalized generalized \(U\)-statistics

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