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The central limit theorem for Tukey's 3R smoother

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Publication:1186027
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DOI10.1016/0167-7152(92)90233-UzbMath0747.60021OpenAlexW1964709134MaRDI QIDQ1186027

Magda Peligrad, Wlodzimierz Bryc

Publication date: 28 June 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(92)90233-u

zbMATH Keywords

time seriescentral limit theoremsmoothing algorithmmixing conditions3R smootherweak dependent random variables


Mathematics Subject Classification ID

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


Related Items

A multilinear form inequality, Approximate tolerance intervals for nonparametric regression models, On the central limit theorem for weakly dependent sequences with a decomposed strong mixing coefficient



Cites Work

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  • Critical points of two-dimensional bootstrap percolation-like cellular automata
  • Invariance principles under a two-part mixing assumption
  • On the convergence rate in the central limit theorem for associated processes
  • Some theory of nonlinear smoothers
  • A functional central limit theorem for strongly mixing sequences of random variables
  • Some mixing properties of tukey's 3R smoother†
  • Association of Random Variables, with Applications
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