Journal of the Korean Statistical Society

  • 제27권1호
  • /
  • Pages.113-132
  • /
  • 1998
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
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Minimum Distance Estimation Based On The Kernels For U-Statistics

  • Park, Hyo-Il (Department of Applied Statistics, Chongju University, Chongju, Choongbook 360-764)
  • 발행 : 1998.03.01
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초록

In this paper, we consider a minimum distance (M.D.) estimation based on kernels for U-statistics. We use Cramer-von Mises type distance function which measures the discrepancy between U-empirical distribution function(d.f.) and modeled d.f. of kernel. In the distance function, we allow various integrating measures, which can be finite, $\sigma$-finite or discrete. Then we derive the asymptotic normality and study the qualitative robustness of M. D. estimates.

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참고문헌

  1. The Annals of Statistics v.14 Empirical processes associated with V-statistics and a class of estimators under random censoring. Akritas, M. G.
  2. Journal of the American Statistical Association v.76 Minimum distance estimators for location and goodness of fit. Boos, D. D.
  3. The Annals of Statistics v.19 Minimum distance estimation in an additive effects outliers model. Dhar, S. K.
  4. The Annals of Mathematical Statistics v.42 A general qualitative definition of robustness. Hampel, F. R.
  5. IMS Lecture notes- monograph series. v.21 Weighted empiricals and linear models. Koul, H. L.
  6. The Annals of Statistics v.11 Minimum distance estimation in a linear regression model. Koul, H. L.;T. DeWet
  7. Communications in Statistics-Theory and Methods v.A10 no.12 Minimum distance estimation: a bibliography. Parr, W.
  8. Approximation theoryems of mathematical statistics. Serfling, R. J.
  9. The Annals of Statistics v.12 Generalized L-, M-, and R-statistics. Serfling, R. J.
  10. Empirical processes with applictions to statistics. Shorack, G. R.;J. A. Wellner