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The uniform consistency of the sample kernel quantile process

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Abstract

We obtain a kernel quantile process based on the kernel quantileestimator and prove the uniform consistency of the kernelquantile process by developing that of the usual sample quantileprocess. We apply our result to the classical kernel typeprocesses.

참고문헌 (8)

  1. "The uniform law of large numbers for the Kaplan-Meier integral process", 67, pp.459~465 (2003)
  2. "A note on quantiles in large samples", 37, pp.577~ (1966)
  3. "Introduction to probability and mathematical sataistics Wiley series in probability and mathematical sataistics. Wiely" (1984)
  4. "Asymptotic normality of the kernel quantile estimator", 13, pp.428~ (1985)
  5. "Nonparametric statistitical data modeling", 74, pp.105~ (1979)
  6. "Kernel quantile estimators", 85, pp.410~ (1990)
  7. "A smooth nonparametric estimator of a quantile function", 80, pp.1004~ (1985)
  8. "A smooth nonparametric estimator of a quantile function", 80, pp.1004~ (1985)

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