Search results
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Title
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Asymptotic Normality of Entropy Estimators
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Author
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Zhang, Xing
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Date Created
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2013
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Subjects--Topical
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Mathematics
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Description
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Shannon's entropy plays a central role in many fields of mathematics. In the first chapter, we present a sufficient condition for the asymptotic normality of the plug-in estimator of Shannon's entropy defined on a countable alphabet. The sufficien...
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Title
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Asymptotic Normality of Higher Order Turing Formulae
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Author
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Chang, Jie
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Date Created
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2022
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Subjects--Topical
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Mathematics
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Description
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Higher order Turing formulae, denoted as Tr for r ∈ Z+, are a powerful result allowing one to estimate the total probability associated with words from a random piece of writing, which have been observed exactly r times in a random sample. In part...