Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (3): 707-715.

• Articles • Previous Articles     Next Articles

Rates of Strong Uniform Consistency for Kernel Density Estimators of Directional Data

  

  • Received:2007-12-30 Revised:2009-01-07 Online:2009-06-25 Published:2009-06-25
  • Supported by:

    国家自然科学基金(10571139)资助

Abstract:

Let fn be the non-parametric kernel density estimator of directional data based on a kernel function K and a sequence of independent and identically distributed random variables taking values in d-dimensional unit sphere  Sd-1. A rate of strong uniform consistency for the kernel density estimators is presented by the empirical process method

Key words: Kernel density estimator, Spherical data, Strong uniform consistency

CLC Number: 

  • 60F10
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