Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Utilizing Order Statistics in Density Estimation

  • Kim, W.C. (Department of Computer Science and Statistics) ;
  • Park, B.U. (Department of Computer Science and Statistics)
  • Published : 1995.12.01
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Abstract

In this paper, we discuss simple ways of implementing non-basic kernel density estimators which typically ceed extra pilot estimation. The methods utilize order statistics at the pilot estimation stages. We focus mainly on bariable lacation and scale kernel density estimator (Jones, Hu and McKay, 1994), but the same idea can be applied to other methods too.

Keywords

References

  1. Order Statistics(2nd ed.) David,H.A.
  2. Probability Theory and Related Fields v.80 Exact convergence rate of bootstrap quantile variance estimator Hall,P.;Martin,M.A.
  3. Journal of Royal Statistical Society, Ser. B v.50 On the distribution of a studentized quantile Hall,P.;Martin,M.A.
  4. Annals of Institute of Statistical Mathemetics v.46 Variable location and scale kernel density estimation Jones,M.C.;Hu,T.C.;McKay,I.J.
  5. Biometrika v.77 On nonparametric kernel density estimates Samiuddin,M.;El-Sayyad,G.M.
  6. Density Estimation for Statistics and Data Analysis Silverman,B.W.