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The product-limit estimator and the bootstrap: Some asymptotic representations
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  • Published: September 1986

The product-limit estimator and the bootstrap: Some asymptotic representations

  • Shaw-Hwa Lo1 &
  • Kesar Singh1 

Probability Theory and Related Fields volume 71, pages 455–465 (1986)Cite this article

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  • 163 Citations

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Summary

The product-limit estimator and its quantile process are represented as i.i.d. mean processes, with a remainder of ordern −3/4(logn)3/4 a.s. Corresponding bootstrap versions of these representations are given, which can help one visualize how the bootstrap procedure operates in this set up.

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Author information

Authors and Affiliations

  1. Department of Statistics, Rutgers University, Hill Center, Bush Campus, 08903, New Brunswick, NJ, USA

    Shaw-Hwa Lo & Kesar Singh

Authors
  1. Shaw-Hwa Lo
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  2. Kesar Singh
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Additional information

Research supported by NSF grants MCS-81-02341 and MCS 83-01082

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Cite this article

Lo, SH., Singh, K. The product-limit estimator and the bootstrap: Some asymptotic representations. Probab. Th. Rel. Fields 71, 455–465 (1986). https://doi.org/10.1007/BF01000216

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  • Received: 15 March 1984

  • Revised: 24 June 1985

  • Issue Date: September 1986

  • DOI: https://doi.org/10.1007/BF01000216

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Keywords

  • Stochastic Process
  • Probability Theory
  • Mathematical Biology
  • Asymptotic Representation
  • Bootstrap Procedure
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