[PDF][PDF] Point estimation through Stein's method
In Stein's method, one can characterize probability distributions with differential operators.
We use these characterizations to obtain a new class of point estimators for iid observations …
We use these characterizations to obtain a new class of point estimators for iid observations …
Nonlocal myriad filters for Cauchy noise removal
F Laus, F Pierre, G Steidl - Journal of Mathematical Imaging and Vision, 2018 - Springer
The contribution of this paper is twofold. First, we introduce a generalized myriad filter, which
is a method to compute the joint maximum likelihood estimator of the location and the scale …
is a method to compute the joint maximum likelihood estimator of the location and the scale …
A smoothing principle for the Huber and other location M-estimators
A smoothing principle for M-estimators is proposed. The smoothing depends on the sample
size so that the resulting smoothed M-estimator coincides with the initial M-estimator when …
size so that the resulting smoothed M-estimator coincides with the initial M-estimator when …
Multilevel quasi-monte carlo for interval analysis
This paper presents a multilevel quasi-Monte Carlo method for interval analysis, as a
computationally efficient method for high-dimensional linear models. Interval analysis …
computationally efficient method for high-dimensional linear models. Interval analysis …
Bahadur efficiency of the maximum likelihood estimator and one-step estimator for quasi-arithmetic means of the Cauchy distribution
Y Akaoka, K Okamura, Y Otobe - Annals of the Institute of Statistical …, 2022 - Springer
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 …
closed-form estimators of the joint of the location and scale parameters of the Cauchy …
[PDF][PDF] Stein's Method of Moments
Stein operators allow to characterise probability distributions via differential operators.
Based on these characterisations, we develop a new method of point estimation for marginal …
Based on these characterisations, we develop a new method of point estimation for marginal …
Limit theorems for quasi-arithmetic means of random variables with applications to point estimations for the Cauchy distribution
Y Akaoka, K Okamura, Y Otobe - Brazilian Journal of Probability …, 2022 - projecteuclid.org
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 …
of means contains the arithmetic, geometric and harmonic means. Our feature is that the …
The role of prices relative to supplemental benefits and service quality in health plan choice
This article links representative enrollee panel data to health plan data on (1) prices,(2)
service quality, and (3) nonessential benefits for the German statutory multipayer market and …
service quality, and (3) nonessential benefits for the German statutory multipayer market and …
Cauchy or not Cauchy? New goodness-of-fit tests for the Cauchy distribution
We introduce a new characterization of the Cauchy distribution and propose a class of
goodness-of-fit tests for the Cauchy family. The limit distribution is derived in a Hilbert space …
goodness-of-fit tests for the Cauchy family. The limit distribution is derived in a Hilbert space …