• Title of article

    Series of moderate deviation probabilities for martingales

  • Author/Authors

    George Stoica، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2005
  • Pages
    5
  • From page
    759
  • To page
    763
  • Abstract
    We study Davis-type theorems on the moderate deviation probabilities of martingale differences with finite pth moments (1 p <∞). We prove that Davis’ first result holds if p >4 and fails if 1 p <4, and Davis’ second result holds if p >2 and fails if 1 p <2.  2004 Elsevier Inc. All rights reserved.
  • Keywords
    Martingale difference , Davis’ theorems , moderate deviations
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2005
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    934004