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02/20/2023
Metrization of powers of the Jensen-Shannon divergence
Metrization of statistical divergences is useful in both theoretical and...
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07/20/2022
Properties of complex-valued power means of random variables and their applications
We consider power means of independent and identically distributed (i.i....
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05/27/2022
Information geometry of the Tojo-Yoshino's exponential family on the Poincaré upper plane
We study the dually flat information geometry of the Tojo-Yoshino expone...
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04/22/2022
A note on the f-divergences between multivariate location-scale families with either prescribed scale matrices or location parameters
We first extend the result of Ali and Silvey [Journal of the Royal Stati...
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04/13/2021
Characterizations of the maximum likelihood estimator of the Cauchy distribution
We consider characterizations of the maximal likelihood estimator (MLE) ...
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04/13/2021
Confidence disc for Cauchy distributions
We will construct a confidence region of parameters for N samples from C...
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04/13/2021
Bahadur efficiency of the maximum likelihood estimator and one-step estimator for quasi-arithmetic means of the Cauchy distribution
Some quasi-arithmetic means of random variables easily give unbiased str...
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04/13/2021
Limit theorems for quasi-arithmetic means of random variables with applications to point estimations for the Cauchy distribution
We establish some limit theorems for quasi-arithmetic means of random va...
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01/29/2021
On f-divergences between Cauchy distributions
We prove that the f-divergences between univariate Cauchy distributions ...
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07/19/2020