• Title of article

    Wavelet Based Estimation of the Derivatives of a Density for a Discrete-Time Stochastic Process: Lp-Losses

  • Author/Authors

    Doosti، H. نويسنده , , Niroumand، H.A. نويسنده Department of Statistics, School of Mathematical Sciences, Ferdowsi University, P.O. Box 1159-91775, Mashhad, Islamic Republic of Iran , , Afshari، M. نويسنده ,

  • Issue Information
    فصلنامه با شماره پیاپی 0 سال 2006
  • Pages
    7
  • From page
    75
  • To page
    81
  • Abstract
    We propose a method of estimation of the derivatives of probability density based on wavelets methods for a sequence of random variables with a common one-dimensional probability density function and obtain an upper bound on Lp-losses for such estimators. We suppose that the process is strongly mixing and we show that the rate of convergence essentially depends on the behavior of a special quadratic characteristic.
  • Journal title
    Journal of Sciences
  • Serial Year
    2006
  • Journal title
    Journal of Sciences
  • Record number

    2354848