12 citations · 93 across the 37 of their papers we have counts for
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math.PR2022★ 2 cited
Properties of complex-valued power means of random variables and their applications
Yuichi Akaoka, Kazuki Okamura, Yoshiki Otobe
We consider power means of independent and identically distributed (i.i.d.) non-integrable random variables. The power mean is an example of a homogeneous quasi-arithmetic mean. Un…
math.ST2022★ 3 cited
A note on the -divergences between multivariate location-scale families with either prescribed scale matrices or location parameters
Frank Nielsen, Kazuki Okamura
We first extend the result of Ali and Silvey [Journal of the Royal Statistical Society: Series B, 28.1 (1966), 131-142] who first reported that any -divergence between two isotr…
cs.IT2022★ 4 cited
Information measures and geometry of the hyperbolic exponential families of Poincaré and hyperboloid distributions
Frank Nielsen, Kazuki Okamura
We study various information-theoretic measures and the information geometry of the Poincaré distributions and the related hyperboloid distributions, and prove that their statistic…