12 citations · 33 across the 6 of their papers we have counts for
4 papers · 1 filter
Characterizations of the maximum likelihood estimator of the Cauchy distribution
Kazuki Okamura, Yoshiki Otobe
This paper gives a new approach for the maximum likelihood estimation of the joint of the location and scale of the Cauchy distribution. We regard the joint as a single complex par…
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…