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This work presents the first systematic development of Stein's method for matrix distributions. We establish the basic essential ingredients of Stein's method for matrix normal approximation: we derive a generator-based Stein identity from…

统计理论 · 数学 2026-01-19 Robert E. Gaunt , Frédéric Ouimet , Donald Richards

The article is an reply to comments on the paper [H. Watanabe, S. Yukawa, N. Ito, and C.-K. Hu, Phys. Rev. Lett. vol. 93, 19601 (2004)] by G. Pruessner and N. R. Moloney published in [Phys. Rev. Lett. vo. 95, 258901 (2005)]. In this reply,…

统计力学 · 物理学 2007-05-23 Hiroshi Watanabe , Chin-Kun Hu

For recursive circular filtering based on circular statistics, we introduce a general framework for estimation of a circular state based on different circular distributions, specifically the wrapped normal distribution and the von Mises…

系统与控制 · 计算机科学 2018-01-01 Gerhard Kurz , Igor Gilitschenski , Uwe D. Hanebeck

The publication by Gagunashvili [arXiv:1011.0662] suffers from several caveats: i) The method is based upon the false assumption that the median of chi square distributed random variables is chi square distributed. ii) The information…

数据分析、统计与概率 · 物理学 2012-09-11 G. Bohm , G. Zech

We revisit the results of Harvie (2000) and show how correcting for a reporting mistake in some of the estimated parameter values leads to significantly different conclusions, including realistic parameter values for the Philips curve and…

计量经济学 · 经济学 2018-03-06 Matheus R. Grasselli , Aditya Maheshwari

We study the problem of list-decodable sparse mean estimation. Specifically, for a parameter $\alpha \in (0, 1/2)$, we are given $m$ points in $\mathbb{R}^n$, $\lfloor \alpha m \rfloor$ of which are i.i.d. samples from a distribution $D$…

数据结构与算法 · 计算机科学 2024-07-08 Ilias Diakonikolas , Daniel M. Kane , Sushrut Karmalkar , Ankit Pensia , Thanasis Pittas

In this paper we study the problem of statistical inference on the parameters of the semiparametric variance-mean mixtures. This class of mixtures has recently become rather popular in statistical and financial modelling. We design a…

其他统计学 · 统计学 2017-05-23 Denis Belomestny , Vladimir Panov

The main purpose of this paper is to correct an error in the previously submitted version [*] := arXiv:2004.13749v1. [*] had been already accepted for publication in a scientific journal, but withdrawn by the author after the discovery of…

概率论 · 数学 2020-11-05 F. Thomas Bruss

The difference between a model forecast and actual observations is called forecast bias. This bias is due to either incomplete model assumptions and/or poorly known parameter values and initial/boundary conditions. In this paper we discuss…

计算工程、金融与科学 · 计算机科学 2010-11-09 Sean Crowell , S. Lakshmivarahan

This manuscript provides additional case analysis for the parameters setting of the distributed probabilistic modeling algorithm for the aggregated wind power forecast error.

信号处理 · 电气工程与系统科学 2018-09-05 Mengshuo Jia , Chen Shen , Zhiwen Wang

Our primary aim is to find an estimate of the expected shortfall in various situations: (1) Nonparametric situation, when the probability distribution of the incurred loss is unknown, only satisfying some general conditions. Then, following…

统计方法学 · 统计学 2022-12-26 Jana Jurečková , Jan Kalina , Jan Večeř

Maximum likelihood estimation is a popular method in statistical inference. As a way of assessing the accuracy of the maximum likelihood estimate (MLE), the calculation of the covariance matrix of the MLE is of great interest in practice.…

统计理论 · 数学 2014-05-08 Xumeng Cao

Measurement error in observational datasets can lead to systematic bias in inferences based on these datasets. As studies based on observational data are increasingly used to inform decisions with real-world impact, it is critical that we…

机器学习 · 统计学 2019-01-29 Roy Adams , Yuelong Ji , Xiaobin Wang , Suchi Saria

We establish a general semiparametric Bernstein-von Mises theorem for Bayesian nonparametric priors based on continuous observations in a periodic reversible multidimensional diffusion model. We consider a wide range of functionals…

统计理论 · 数学 2025-05-23 Matteo Giordano , Kolyan Ray

The present note is a feedback on the article by M.O. Katanaev in "Physica Scripta" (2023, 98, 104001), where, in our opinion, a distorted view of the classical theory of separation of variables in the Hamilton-Jacobi equation is given. We…

广义相对论与量子宇宙学 · 物理学 2023-11-27 V. V. Obukhov , K. E. Osetrin , A. V. Shapovalov

The notion of low-noise channels was recently proposed and analyzed in detail in order to describe noise-processes driven by environment [M. Hotta, T. Karasawa and M. Ozawa, Phys. Rev. A72, 052334 (2005)]. An estimation theory of low-noise…

量子物理 · 物理学 2009-11-13 M. Hotta , T. Karasawa , M. Ozawa

Mixtures of shifted asymmetric Laplace distributions were introduced as a tool for model-based clustering that allowed for the direct parameterization of skewness in addition to location and scale. Following common practices, an…

统计方法学 · 统计学 2023-03-28 Yuan Fang , Brian C. Franczak , Sanjeena Subedi

In this paper we consider the filtering of partially observed multi-dimensional diffusion processes that are observed regularly at discrete times. We assume that, for numerical reasons, one has to time-discretize the diffusion process which…

统计计算 · 统计学 2023-02-21 Ajay Jasra , Mohamed Maama , Hernando Ombao

The present paper shows that warped Riemannian metrics, a class of Riemannian metrics which play a prominent role in Riemannian geometry, are also of fundamental importance in information geometry. Precisely, the paper features a new…

统计理论 · 数学 2017-07-25 Salem Said , Lionel Bombrun , Yannick Berthoumieu

The Pitman-Yor process is a random probability distribution, that can be used as a prior distribution in a nonparametric Bayesian analysis. The process is of species sampling type and generates discrete distributions, which yield of the…

统计理论 · 数学 2021-12-10 S. E. M. P. Franssen , A. W. van der Vaart