Finite Population Survey Sampling: An Unapologetic Bayesian Perspective [0.03%]
有限总体的调查抽样：一个不妥协的贝叶斯视角
Sudipto Banerjee
Sudipto Banerjee
This article attempts to offer some perspectives on Bayesian inference for finite population quantities when the units in the population are assumed to exhibit complex dependencies. Beginning with an overview of Bayesian hierarchical models...
Bayesian Linear Inverse Problems in Regularity Scales with Discrete Observations [0.03%]
具离散观测的正则尺度下的贝叶斯线性逆问题
Dong Yan,Shota Gugushvili,Aad van der Vaart
Dong Yan
We obtain rates of contraction of posterior distributions in inverse problems with discrete observations. In a general setting of smoothness scales we derive abstract results for general priors, with contraction rates determined by discrete...
An Overview of Discrete Distributions in Modelling COVID-19 Data Sets [0.03%]
用于建模COVID-19数据集的离散分布概述
Ehab M Almetwally,Sanku Dey,Saralees Nadarajah
Ehab M Almetwally
The mathematical modeling of the coronavirus disease-19 (COVID-19) pandemic has been attempted by a large number of researchers from the very beginning of cases worldwide. The purpose of this research work is to find and classify the modell...
Anirban Dasgupta,Srijan Sengupta
Anirban Dasgupta
Infectious or contagious diseases can be transmitted from one person to another through social contact networks. In today's interconnected global society, such contagion processes can cause global public health hazards, as exemplified by th...
Geometric Sensitivity Measures for Bayesian Nonparametric Density Estimation Models [0.03%]
贝叶斯非参数密度估计模型的几何灵敏度测量指标
Abhijoy Saha,Sebastian Kurtek
Abhijoy Saha
We propose a geometric framework to assess global sensitivity in Bayesian nonparametric models for density estimation. We study sensitivity of nonparametric Bayesian models for density estimation, based on Dirichlet-type priors, to perturba...
Adaptive Bayesian credible bands in regression with a Gaussian process prior [0.03%]
具有高斯过程先验的回归中自适应贝叶斯可信带
Suzanne Sniekers,Aad van der Vaart
Suzanne Sniekers
A credible band is the set of all functions between a lower and an upper bound that are constructed so that the set has prescribed mass under the posterior distribution. In a Bayesian analysis such a band is used to quantify the remaining u...
The Bennett-Orlicz Norm [0.03%]
本内特-奥尔里奇范数
Jon A Wellner
Jon A Wellner
van de Geer and Lederer (Probab. Theory Related Fields 157(1-2), 225-250, 2013) introduced a new Orlicz norm, the Bernstein-Orlicz norm, which is connected to Bernstein type inequalities. Here we introduce another Orlicz norm, the Bennett-O...
On Kolmogorov Asymptotics of Estimators of the Misclassification Error Rate in Linear Discriminant Analysis [0.03%]
关于线性判别分析中误分类率估计的Kolmogorov渐近性质的研究
Amin Zollanvari,Marc G Genton
Amin Zollanvari
We provide a fundamental theorem that can be used in conjunction with Kolmogorov asymptotic conditions to derive the first moments of well-known estimators of the actual error rate in linear discriminant analysis of a multivariate Gaussian ...
Unbiased Invariant Least Squares Estimation in A Generalized Growth Curve Model [0.03%]
广义增长曲线模型中不变的无偏最小二乘估计
Xiaoyong Wu,Hua Liang,Guohua Zou
Xiaoyong Wu
This paper is concerned with a generalized growth curve model. We derive the unbiased invariant least squares estimators of the linear functions of variance-covariance matrix of disturbances. Under the minimum variance criterion, we obtain ...