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Some more results on increments of the partially observed empirical process

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  • Dindar, Zacharie

Abstract

The author studies the almost sure behaviour of the increments of the partially observed empirical process and derives some functional laws of the iterated logarithm for this process. Application to nonparametric density estimation is presented.

Suggested Citation

  • Dindar, Zacharie, 2003. "Some more results on increments of the partially observed empirical process," Statistics & Probability Letters, Elsevier, vol. 64(1), pages 25-37, August.
  • Handle: RePEc:eee:stapro:v:64:y:2003:i:1:p:25-37
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    References listed on IDEAS

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    1. P. Deheuvels, 1996. "Functional laws of the iterated logarithm for small increments of empirical processes," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 50(2), pages 261-280, July.
    2. Deheuvels, Paul, 1992. "Functional laws of the iterated logarithm for large increments of empirical and quantile processes," Stochastic Processes and their Applications, Elsevier, vol. 43(1), pages 133-163, November.
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