Central limit theorems for mixing sequences of random variables under minimal conditions

DOI10.1214/aop/1176992376zbMath0605.60027OpenAlexW2071555659MaRDI QIDQ1083752

Walter Philipp, Manfred Denker, Herold G. Dehling

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1214/aop/1176992376

zbMATH Keywords

central limit theoremdomain of partial attraction of a normal lawslowly-varying functionstrongly mixing sequence of random variables

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stationary stochastic processes (60G10)

Related Items (13)

Central limit theorems for additive functionals of Markov chains. ⋮ The functional central limit theorem under the strong mixing condition ⋮ ON THE SPECTRAL MEASURES OF SOME WEAKLY STATIONARY SEQUENCES INVOLVING RANDOMLY SPACED OBSERVATIONS ⋮ On the weak invariance principle for stationary sequences under projective criteria ⋮ The effect of intraday periodicity on realized volatility measures ⋮ On a theorem of gordin ⋮ Precise rates in complete moment convergence for \(\rho \)-mixing sequences ⋮ Another approach to Brownian motion ⋮ Parametric and nonparametric models and methods in financial econometrics ⋮ On Ibragimov-Iosifescu conjecture for \(\phi\)-mixing sequences ⋮ Central limit theorem for stationary random fields ⋮ Limit theorems for mixing sequences without rate assumptions ⋮ Probabilistic approach to Perron root, the group inverse, and applications

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