A CLASS OF STATIONARY PROCESSES AND A CENTRAL LIMIT THEOREM

DOI10.1073/pnas.42.7.412zbMath0070.36403OpenAlexW2098320261WikidataQ37688133 ScholiaQ37688133MaRDI QIDQ3232619

Murray Rosenblatt, Julius R. Blum

Publication date: 1956

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.42.7.412

zbMATH Keywords

probability theory

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The central limit problem for mixing sequences of random variables ⋮ A CLT for the periodograms of a \(p\)-mixing random field ⋮ Convergence rates in the central limit theorem for stationary mixing sequences of random vectors ⋮ A definition of qualitative robustness for general point estimators, and examples ⋮ Qualitative robustness of von Mises statistics based on strongly mixing data ⋮ Sensitivity of risk measures with respect to the normal approximation of total claim distributions ⋮ Nonlinear system theory: Another look at dependence ⋮ Comments on ``Unbiased estimates for moments and cumulants in linear regression ⋮ Moment inequalities for S n under general dependence restrictions, with applications ⋮ Moment inequalities for S n under general dependence restrictions, with applications ⋮ Central Limit Theorems for dependent variables. I ⋮ A remark on serial correlation in maximum likelihood ⋮ Ein zentraler grenzwertsatz mit anwendungen auf die zahlentheorie ⋮ Short Range and Long Range Dependence

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