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The convergence of moments in the central limit theorem for stationary phi-mixing processes

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Publication:1055084
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DOI10.1007/BF01903992zbMath0521.60024MaRDI QIDQ1055084

Ryozo Yokoyama

Publication date: 1983

Published in: Analysis Mathematica (Search for Journal in Brave)


zbMATH Keywords

central limit theoremconvergence of momentsmixing sequences


Mathematics Subject Classification ID

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


Related Items (3)

Random walks in a one-dimensional Lévy random environment ⋮ Central limit theorem by polynomial dependence coefficients ⋮ Central limit theorem by moments



Cites Work

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  • The convergence of moments in the martingale central limit theorem
  • Moment bounds for stationary mixing sequences
  • Characteristic Functions, Moments, and the Central Limit Theorem
  • Moments of a Stopping Rule Related to the Central Limit Theorem
  • Martingale Central Limit Theorems
  • Some Limit Theorems for Stationary Processes


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