[图书][B] Robustness theory and application

BR Clarke - 2018 - books.google.com
A preeminent expert in the field explores new and exciting methodologies in the ever-
growing field of robust statistics Used to develop data analytical methods, which are …

[PDF][PDF] Point estimation through Stein's method

B Ebner, A Fischer, RE Gaunt, B Picker… - arxiv preprint arxiv …, 2023 - researchgate.net
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 …

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 …

A smoothing principle for the Huber and other location M-estimators

F Hampel, C Hennig, E Ronchetti - Computational Statistics & Data Analysis, 2011 - Elsevier
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 …

Multilevel quasi-monte carlo for interval analysis

RRP Callens, M Faess, D Moens - International Journal for …, 2022 - dl.begellhouse.com
This paper presents a multilevel quasi-Monte Carlo method for interval analysis, as a
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 …

[PDF][PDF] Stein's Method of Moments

B Ebner, A Fischer, RE Gaunt, B Picker… - arxiv preprint arxiv …, 2023 - researchgate.net
Stein operators allow to characterise probability distributions via differential operators.
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 …

The role of prices relative to supplemental benefits and service quality in health plan choice

C Bünnings, H Schmitz, H Tauchmann… - Journal of Risk and …, 2019 - Wiley Online Library
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 …

Cauchy or not Cauchy? New goodness-of-fit tests for the Cauchy distribution

B Ebner, L Eid, B Klar - Statistical Papers, 2024 - Springer
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 …