12 citations · 23 across the 4 of their papers we have counts for
4 papers
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…
Confidence disc and square for Cauchy distributions
Yuichi Akaoka, Kazuki Okamura, Yoshiki Otobe
We will construct a confidence region of parameters for a sample of size from Cauchy distributed random variables. Although Cauchy distribution has two parameters, a location p…
Bahadur efficiency of the maximum likelihood estimator and one-step estimator for quasi-arithmetic means of the Cauchy distribution
Yuichi Akaoka, Kazuki Okamura, Yoshiki Otobe
Some quasi-arithmetic means of random variables easily give unbiased strongly consistent closed-form estimators of the joint of the location and scale parameters of the Cauchy dist…
Limit theorems for quasi-arithmetic means of random variables with applications to point estimations for the Cauchy distribution
Yuichi Akaoka, Kazuki Okamura, Yoshiki Otobe
We establish some limit theorems for quasi-arithmetic means of random variables. This class of means contains the arithmetic, geometric and harmonic means. Our feature is that the…