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Strong convergence of sums of \(\varphi\)-mixing random variables

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Publication:1900843
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zbMath0845.62037MaRDI QIDQ1900843

Eckhard Liebscher

Publication date: 18 September 1996

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)


zbMATH Keywords

almost sure convergenceempirical distribution functionkernel density estimatorsextension of Bennett's inequalitygeneral strong convergence theoremssums of phi-mixing random variables


Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)


Related Items (4)

A generalization of the Kaplan-Meier estimator to Harris-recurrent Markov chains ⋮ Strong convergence of sums of \(\alpha \)-mixing random variables with applications to density estimation ⋮ Consistency of kernel density estimators for causal processes ⋮ Convergence of Hermite Series Density Estimators Under Conditions of Weak Dependence




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