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Mean-Squared Accuracy of Good-Turing Estimator (2104.07029v1)
Published 14 Apr 2021 in stat.ML, cs.CR, cs.IT, cs.LG, math.IT, and stat.AP
Abstract: The brilliant method due to Good and Turing allows for estimating objects not occurring in a sample. The problem, known under names "sample coverage" or "missing mass" goes back to their cryptographic work during WWII, but over years has found has many applications, including LLMing, inference in ecology and estimation of distribution properties. This work characterizes the maximal mean-squared error of the Good-Turing estimator, for any sample \emph{and} alphabet size.
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