Strong laws and summability for \(\varphi\)-mixing sequences of random variables

DOI10.1023/A:1021655227120zbMath0898.60038OpenAlexW99408386MaRDI QIDQ1383182

Rüdiger Kiesel

Publication date: 1 November 1998

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021655227120

zbMATH Keywords

summabilitystrong lawsphi-mixinguniform mixing

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Strong limit theorems (60F15) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Abel, Borel and power series methods (40G10)

Related Items (9)

Asymptotic properties of wavelet-based estimator in nonparametric regression model with weakly dependent processes ⋮ Summability methods and negatively associated random variables ⋮ Almost sure convergence for weighted sums of φ-mixing random variables with applications ⋮ Strong consistency of estimators in partially linear models for longitudinal data with mixing-dependent structure ⋮ Asymptotic properties of M estimators in classical linear models with φ -mixing random errors ⋮ On the strong law of large numbers for \(\phi\)-mixing and \(\rho\)-mixing random variables ⋮ A local limit theorem for a transient chaotic walk in a frozen environment ⋮ A Marcinkiewicz-Zygmund type strong law for weighted sums of \(\phi \)-mixing random variables and its applications ⋮ The Berry-Esseen type bounds of the weighted estimator in a nonparametric model with linear process errors

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