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Harmonic analysis tools for statistical inference in the spectral domain

  • Florin AvramEmail author
  • Nikolai Leonenko
  • Ludmila Sakhno
Chapter
Part of the Lecture Notes in Statistics book series (LNS, volume 200)

Abstract

We present here an extension of the theorem on asymptotic behavior of Fejér graph integrals stated in [7] to the case of integrals with more general kernels which allow for tapering. As a corollary, asymptotic normality results for tapered estimators are derived.

Keywords

Central Limit Theorem Incidence Matrix Spectral Domain Toeplitz Matrix Approximate Identity 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Florin Avram
    • 1
    Email author
  • Nikolai Leonenko
    • 2
  • Ludmila Sakhno
    • 3
  1. 1.Département de MathématiquesUniversité de Pau et des Pays de l’AdourPau CedexFrance
  2. 2.Cardiff School of MathematicsCardiff UniversityCardiffUK
  3. 3.Department of Probability Theory and Mathematical StatisticsKyiv National Taras Shevchenko UniversityKievUkraine

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