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On the best approximation for bootstrapped empirical processes

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  • Horváth, Lajos
  • Steinebach, Josef

Abstract

We obtain a lower bound for the rate of approximation of bootstrapped empirical processes with Brownian bridges. Our result corresponds to the optimality of the Komlós et al. (1975, 1976, Z. Wahrsch. Verw. Gebiete 32, 111-131; 34, 33-58) approximation of empirical processes.

Suggested Citation

  • Horváth, Lajos & Steinebach, Josef, 1999. "On the best approximation for bootstrapped empirical processes," Statistics & Probability Letters, Elsevier, vol. 41(2), pages 117-122, January.
  • Handle: RePEc:eee:stapro:v:41:y:1999:i:2:p:117-122
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    Cited by:

    1. Horváth, Lajos & Kokoszka, Piotr & Steinebach, Josef, 2000. "Approximations for weighted bootstrap processes with an application," Statistics & Probability Letters, Elsevier, vol. 48(1), pages 59-70, May.

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