• Title of article

    Local asymptotic minimax theory for block-decreasing densities

  • Author/Authors

    Pavlides، نويسنده , , Marios G.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2012
  • Pages
    8
  • From page
    2322
  • To page
    2329
  • Abstract
    In this paper, we study Lebesgue densities on ( 0 , ∞ ) d that are non-increasing in each coordinate, while keeping all other coordinates fixed, from the perspective of local asymptotic minimax lower bound theory. In particular, we establish a local optimal rate of convergence of the order n − 1 / ( d + 2 ) .
  • Keywords
    Monotone , Lower Bound , Block-decreasing , Nonparametric , Estimation , minimax
  • Journal title
    Journal of Statistical Planning and Inference
  • Serial Year
    2012
  • Journal title
    Journal of Statistical Planning and Inference
  • Record number

    2222038