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Convergence to stable laws in Mallows distance for mixing sequences of random variables

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Publication:985983
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DOI10.1214/09-BJPS026zbMath1197.60022MaRDI QIDQ985983

Euro G. Barbosa, Chang Chung Yu Dorea

Publication date: 9 August 2010

Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)


zbMATH Keywords

stable lawsMallows distancemixing sequences


Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05)


Related Items (2)

Mallows Distance Convergence for Extremes: Regeneration Approach ⋮ Convergence to Fréchet distribution via Mallows distance




Cites Work

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  • A note on the Lindeberg condition for convergence to stable laws in Mallows distance
  • Central limit theorem and convergence to stable laws in Mallows distance
  • Some asymptotic theory for the bootstrap
  • Moment inequalities for mixing sequences of random variables
  • Bounds on the Expectation of Functions of Martingales and Sums of Positive RV's in Terms of Norms of Sums of Independent Random Variables
  • A Note on Asymptotic Joint Normality




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