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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Goodness-of-Fit Tests Under Permutations
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Author
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Chen, Chen
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Date Created
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2019
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Subjects--Topical
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Statistics, Mathematics, Information science
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Description
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Several new goodness-of-fit tests are proposed on countable alphabets, where certain fundamental statistical concepts associated with random variables, such as cumulative distribution functions, characteristic functions and moments, may not exist....
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Title
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Jensen-Shannon Divergence: Estimation and Hypothesis Testing
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Author
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Stewart, Ann
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Date Created
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2019
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Subjects--Topical
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Statistics
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Description
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Jensen-Shannon divergence is one reasonable solution to the problem of measuring the level of difference or "distance'" between two probability distributions on a multinomial population. If one of the distributions is assumed to be known a priori,...