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The semivarying coefficient models are widely used in the application of finance, economics, medical science and many other areas. The functional coefficients are commonly estimated by local smoothing methods, e.g. local linear estimator.…

统计方法学 · 统计学 2020-01-01 Heng Peng , Chuanlong Xie , Jingxin Zhao

The authors propose a robust semi-parametric empirical likelihood method to integrate all available information from multiple samples with a common center of measurements. Two different sets of estimating equations are used to improve the…

统计方法学 · 统计学 2012-10-03 Hsiao-Hsuan Wang , Yuehua Wu , Yuejiao Fu , Xiaogang Wang

We aim to incorporate variable selection routines into variable-by-variable (or sequential) imputation in clustered data to achieve computational improvement in applications with large-scale health data. Specifically, we utilize variable…

统计方法学 · 统计学 2025-04-08 Qiushuang Li , Recai Yucel

The horseshoe prior has proven to be a noteworthy alternative for sparse Bayesian estimation, but as shown in this paper, the results can be sensitive to the prior choice for the global shrinkage hyperparameter. We argue that the previous…

统计方法学 · 统计学 2017-12-18 Juho Piironen , Aki Vehtari

This paper considers the problem of using MCMC to fit sparse Bayesian models based on normal scale-mixture priors. Examples of this framework include the Bayesian LASSO and the horseshoe prior. We study the usefulness of parameter expansion…

统计计算 · 统计学 2010-10-27 James G. Scott

We present a locally adaptive nonparametric curve fitting method that operates within a fully Bayesian framework. This method uses shrinkage priors to induce sparsity in order-k differences in the latent trend function, providing a…

统计方法学 · 统计学 2017-02-10 James R. Faulkner , Vladimir N. Minin

Seemingly unrelated regression is a natural framework for regressing multiple correlated responses on multiple predictors. The model is very flexible, with multiple linear regression and covariance selection models being special cases.…

统计方法学 · 统计学 2019-07-23 Yunfan Li , Jyotishka Datta , Bruce A. Craig , Anindya Bhadra

We use location model methodology to guide the least squares analysis of the Lasso problem of variable selection and inference. The nuisance parameter is taken to be an indicator for the selection of explanatory variables and the interest…

统计方法学 · 统计学 2020-09-23 D. A. S. Fraser , Mylène Bédard

While methods for measuring and correcting differential performance in risk prediction models have proliferated in recent years, most existing techniques can only be used to assess fairness across relatively large subgroups. The purpose of…

统计方法学 · 统计学 2024-01-30 Solvejg Wastvedt , Jared D Huling , Julian Wolfson

We develop a general variational inference method that preserves dependency among the latent variables. Our method uses copulas to augment the families of distributions used in mean-field and structured approximations. Copulas model the…

机器学习 · 统计学 2015-11-03 Dustin Tran , David M. Blei , Edoardo M. Airoldi

Artificial intelligence (AI) and machine learning (ML) are increasingly used to generate data for downstream analyses, yet naively treating these predictions as true observations can lead to biased results and incorrect inference. Wang et…

统计方法学 · 统计学 2025-07-15 Stephen Salerno , Kentaro Hoffman , Awan Afiaz , Anna Neufeld , Tyler H. McCormick , Jeffrey T. Leek

Small area estimation models are essential for estimating population characteristics in regions with limited sample sizes, thereby supporting policy decisions, demographic studies, and resource allocation, among other use cases. The spatial…

机器学习 · 统计学 2025-03-20 Zhenhua Wang , Paul A. Parker , Scott H. Holan

The combination of inducing point methods with stochastic variational inference has enabled approximate Gaussian Process (GP) inference on large datasets. Unfortunately, the resulting predictive distributions often exhibit substantially…

机器学习 · 统计学 2020-12-29 Martin Jankowiak , Geoff Pleiss , Jacob R. Gardner

For statistical inference on regression models with a diverging number of covariates, the existing literature typically makes sparsity assumptions on the inverse of the Fisher information matrix. Such assumptions, however, are often…

统计方法学 · 统计学 2021-06-08 Lu Xia , Bin Nan , Yi Li

We introduce a methodology to construct parsimonious probabilistic models. This method makes use of Information Filtering Networks to produce a robust estimate of the global sparse inverse covariance from a simple sum of local inverse…

信息论 · 计算机科学 2017-02-21 Wolfram Barfuss , Guido Previde Massara , T. Di Matteo , Tomaso Aste

Inference methods are often formulated as variational approximations: these approximations allow easy evaluation of statistics by marginalization or linear response, but these estimates can be inconsistent. We show that by introducing…

机器学习 · 统计学 2017-04-27 Jack Raymond , Federico Ricci-Tersenghi

Environmental processes resolved at a sufficiently small scale in space and time will inevitably display non-stationary behavior. Such processes are both challenging to model and computationally expensive when the data size is large.…

应用统计 · 统计学 2020-08-21 Amanda Lenzi , Stefano Castruccio , Haavard Rue , Marc G. Genton

Many people living in low- and middle-income countries are not covered by civil registration and vital statistics systems. Consequently, a wide variety of other types of data, including many household sample surveys, are used to estimate…

We consider the problem of analyzing the heterogeneity of clustering distributions for multiple groups of observed data, each of which is indexed by a covariate value, and inferring global clusters arising from observations aggregated over…

统计方法学 · 统计学 2012-12-06 XuanLong Nguyen

To improve the precision of inferences and reduce costs there is considerable interest in combining data from several sources such as sample surveys and administrative data. Appropriate methodology is required to ensure satisfactory…

统计方法学 · 统计学 2022-10-21 Dexter Cahoy , Joseph Sedransk