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09/21/2023
An Information-Theoretic Analog of the Twin Paradox
We revisit the familiar scenario involving two parties in relative motio...
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10/04/2022
What Intraclass Covariance Structures Can Symmetric Bernoulli Random Variables Have?
The covariance matrix of random variables X_1,…,X_n is said to have an i...
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08/03/2022
Asymptotic relative efficiency of the Kendall and Spearman correlation statistics
A necessary and suffcient condition for Pitman's asymptotic relative eff...
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05/19/2022
Exact lower and upper bounds for shifts of Gaussian measures
Exact upper and lower bounds on the ratio 𝖤w(𝐗-𝐯)/𝖤w(𝐗) for a centered G...
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08/10/2021
Best lower bound on the probability of a binomial exceeding its expectation
Let X be a random variable distributed according to the binomial distrib...
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07/21/2021
Modulus of continuity of the quantum f-entropy with respect to the trace distance
A well-known result due to Fannes is a certain upper bound on the modulu...
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03/29/2021
Exact converses to a reverse AM–GM inequality, with applications to sums of independent random variables and (super)martingales
For every given real value of the ratio μ:=A_X/G_X>1 of the arithmetic a...
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08/03/2020
Monotonicity properties of the Poisson approximation to the binomial distribution
Certain monotonicity properties of the Poisson approximation to the bino...
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07/03/2020
Monotonicity preservation properties of kernel regression estimators
Three common classes of kernel regression estimators are considered: the...
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09/13/2019
Order statistics on the spacings between order statistics for the uniform distribution
Closed-form expressions for the distributions of the order statistics on...
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07/26/2019
An asymptotically optimal transform of Pearson's correlation statistic
It is shown that for any correlation-parametrized model of dependence an...
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02/14/2019
Generalized semimodularity: order statistics
A notion of generalized n-semimodularity is introduced, which extends th...
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12/03/2017
Exact upper and lower bounds on the misclassification probability
Exact lower and upper bounds on the best possible misclassification prob...
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12/03/2017