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20212023
most citedBahadur efficiency of the maximum likelihood estimator and one-step estimator for quasi-arithmetic means of the Cauchy distribution

12 citations · 33 across the 6 of their papers we have counts for

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math.PR2023

Power means of random variables and characterizations of distributions via fractional calculus

Kazuki Okamura, Yoshiki Otobe

We investigate fractional moments and expectations of power means of complex-valued random variables by using fractional calculus. We deal with both negative and positive orders of…

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…