期刊文献+

随机右删失下最近邻估计的均方误差

The Integrated Square Error of the Nearest NeighborDensity Estimators under Random Censorship
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摘要 本文我们利用强逼近的结果导出了最近邻估计的均方误差的渐近表示. In the paper, we apply the technique of strong Approximation to establish an asymptotic expansion for the integrated equare error of the nearest neighbor estimator under censorship.
出处 《应用概率统计》 CSCD 北大核心 2002年第2期209-213,共5页 Chinese Journal of Applied Probability and Statistics
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参考文献5

  • 1[1]Burke. M.D., Csorgo, S., Horváth, L., A correction to and improvement of strong approximations of some biometrics estimates under random censorship, Probab. Theory Related Fields, 79(1988), 51-57.
  • 2[2]Kaplan. E. & Meier, P., Nonparametric estimation from incomplete observation, J.A.S.A., 53(1958), 457-481.
  • 3[3]Stefan, S.R., The law of the iterated logarithm for the multivariate nearest neighbor density estimators, J. Multi. Anal., 5,3(1995), 159-157.
  • 4[4]Schafer, H., Local convergence of empirical measures in the random censorship situation with applications to density and rate estimators, Ann. Stat., 14(1986), 1240-1245.
  • 5[5]Zhang B, A note on the integrated square errors of kernel density estimators under random censorship, Stochastic Process Appl., 75(1998), 235-248.

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