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Large deviations of L1-error of empirical measures on partitions


  • Esaulova, Veronika


We obtain a Chernoff-type large deviation result for the L1-error of empirical measure on partitions. As a corollary, large deviation asymptotics for the L1-error of the histogram density estimator is derived. Applications to Bahadur efficiencies of goodness-of-fit tests and Bahadur exact slopes of these statistics are discussed.

Suggested Citation

  • Esaulova, Veronika, 2004. "Large deviations of L1-error of empirical measures on partitions," Statistics & Probability Letters, Elsevier, vol. 69(4), pages 439-445, October.
  • Handle: RePEc:eee:stapro:v:69:y:2004:i:4:p:439-445

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    References listed on IDEAS

    1. Wang, J.C., 1996. "Mixed difference matrices and the construction of orthogonal arrays," Statistics & Probability Letters, Elsevier, vol. 28(2), pages 121-126, June.
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