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Subsampling quantile estimator majorization inequalities

Author

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  • Kaigh, W. D.
  • Sorto, Maria Alejandra

Abstract

A Lorenz partial order majorization inequality is obtained for the Kaigh--Lachenbruch (KL), Harrell--Davis (HD), and Kaigh--Cheng (KC) subsampling quantile estimators developed in Kaigh and Cheng (1991a,b). Bernstein polynomial approximation schemes yield continuous quantile function estimators which are also Lorenz ordered according to their respective inputs.

Suggested Citation

  • Kaigh, W. D. & Sorto, Maria Alejandra, 1993. "Subsampling quantile estimator majorization inequalities," Statistics & Probability Letters, Elsevier, vol. 18(5), pages 373-379, December.
    • Handle: RePEc:eee:stapro:v:18:y:1993:i:5:p:373-379
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    Cited by:

    1. Cheng, Cheng, 1998. "A Berry-Esséen-type theorem of quantile density estimators," Statistics & Probability Letters, Elsevier, vol. 39(3), pages 255-262, August.
    2. Cheng, Cheng, 1995. "The Bernstein polynomial estimator of a smooth quantile function," Statistics & Probability Letters, Elsevier, vol. 24(4), pages 321-330, September.
    3. Cheng, Cheng, 2002. "Almost-sure uniform error bounds of general smooth estimators of quantile density functions," Statistics & Probability Letters, Elsevier, vol. 59(2), pages 183-194, September.

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