Large deviations of L1-error of empirical measures on partitions
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.
Volume (Year): 69 (2004)
Issue (Month): 4 (October)
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