• Title of article

    Extremes of totally skewed α-stable processes

  • Author/Authors

    Albin، نويسنده , , J.M.P.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 1999
  • Pages
    28
  • From page
    185
  • To page
    212
  • Abstract
    We give upper and lower bounds for the probability for a local extrema of a totally skewed α-stable stochastic process. Often these bounds are sharp and coincide. The Gaussian case α=2 is not excluded, and there our results slightly improve existing general bounds. Applications focus on moving averages and fractional α-stable motions.
  • Keywords
    Fractional ?-stable motion , ?-stable process , Totally skewed ?-stable distribution , Skewed ?-stable distribution , extremes , ?-Stable random field , ?-stable motion , Moving Average
  • Journal title
    Stochastic Processes and their Applications
  • Serial Year
    1999
  • Journal title
    Stochastic Processes and their Applications
  • Record number

    1576368