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This paper considers distributed M-estimation under heterogeneous distributions among distributed data blocks. A weighted distributed estimator is proposed to improve the efficiency of the standard "Split-And-Conquer" (SaC) estimator for…

统计理论 · 数学 2022-09-15 Jia Gu , Songxi Chen

Model averaging is an alternative to model selection for dealing with model uncertainty, which is widely used and very valuable. However, most of the existing model averaging methods are proposed based on the least squares loss function,…

统计方法学 · 统计学 2019-10-29 Miaomiao Wang , Guohua Zou

In this paper we describe a probabilistic method for estimating the position of an object along with its covariance matrix using neural networks. Our method is designed to be robust to outliers, have bounded gradients with respect to the…

计算机视觉与模式识别 · 计算机科学 2021-11-22 David Mohlin , Gerald Bianchi , Josephine Sullivan

In this paper, we propose an empirical likelihood-based weighted estimator of regression parameter in quantile regression model with nonignorable missing covariates. The proposed estimator is computationally simple and achieves…

统计方法学 · 统计学 2017-10-10 Xiaohui Yuan , Xiaogang Dong

When we are interested in high-dimensional system and focus on classification performance, the $\ell_{1}$-penalized logistic regression is becoming important and popular. However, the Lasso estimates could be problematic when penalties of…

机器学习 · 统计学 2020-06-12 Huamei Huang , Yujing Gao , Huiming Zhang , Bo Li

In this paper, we present a method for computing the marginal likelihood, also known as the model likelihood or Bayesian evidence, from Markov Chain Monte Carlo (MCMC), or other sampled posterior distributions. In order to do this, one…

Shrinkage estimators that possess the ability to produce sparse solutions have become increasingly important to the analysis of today's complex datasets. Examples include the LASSO, the Elastic-Net and their adaptive counterparts.…

统计方法学 · 统计学 2017-02-09 Hongmei Liu , J. Sunil Rao

Multivariate density estimation is a popular technique in statistics with wide applications including regression models allowing for heteroskedasticity in conditional variances. The estimation problems become more challenging when…

统计方法学 · 统计学 2018-08-15 Zhen Li , Lili Wu , Weilian Zhou , Sujit Ghosh

The analysis of large-scale datasets, especially in biomedical contexts, frequently involves a principled screening of multiple hypotheses. The celebrated two-group model jointly models the distribution of the test statistics with mixtures…

统计方法学 · 统计学 2023-03-10 Francesco Denti , Stefano Peluso , Michele Guindani , Antonietta Mira

In this paper, we consider nonparametric multidimensional finite mixture models and we are interested in the semiparametric estimation of the population weights. Here, the i.i.d. observations are assumed to have at least three components…

统计理论 · 数学 2017-12-14 Elisabeth Gassiat , Judith Rousseau , Elodie Vernet

Multivariate normal mixtures provide a flexible model for high-dimensional data. They are widely used in statistical genetics, statistical finance, and other disciplines. Due to the unboundedness of the likelihood function, classical…

统计理论 · 数学 2008-05-27 Jiahua Chen , Xianming Tan

This paper deals with robust marginal estimation under a general regression model when missing data occur in the response and also in some of covariates. The target is a marginal location parameter which is given through an $M-$functional.…

统计方法学 · 统计学 2020-05-08 Ana M. Bianco , Graciela Boente , Wenceslao González-Manteiga , Ana Pérez-González

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

统计方法学 · 统计学 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

In machine learning models, the estimation of errors is often complex due to distribution bias, particularly in spatial data such as those found in environmental studies. We introduce an approach based on the ideas of importance sampling to…

机器学习 · 计算机科学 2023-09-15 Boris Prokhorov , Diana Koldasbayeva , Alexey Zaytsev

Compared to the conditional mean as a simple point estimator, the conditional density function is more informative to describe the distributions with multi-modality, asymmetry or heteroskedasticity. In this paper, we propose a novel…

统计方法学 · 统计学 2020-10-22 Yiping Guo , Howard D. Bondell

We wish to estimate conditional density using Gaussian Mixture Regression model with logistic weights and means depending on the covariate. We aim at selecting the number of components of this model as well as the other parameters by a…

统计理论 · 数学 2013-04-10 Lucie Montuelle , Erwan Le Pennec , Serge Cohen

Likelihood-based inferences have been remarkably successful in wide-spanning application areas. However, even after due diligence in selecting a good model for the data at hand, there is inevitably some amount of model misspecification:…

统计方法学 · 统计学 2024-09-12 Miheer Dewaskar , Christopher Tosh , Jeremias Knoblauch , David B. Dunson

Multivariate distributions often carry latent structures that are difficult to identify and estimate, and which better reflect the data generating mechanism than extrinsic structures exhibited simply by the raw data. In this paper, we…

统计方法学 · 统计学 2025-04-16 Bryon Aragam , Ruiyi Yang

Community structure is common in many real networks, with nodes clustered in groups sharing the same connections patterns. While many community detection methods have been developed for networks with binary edges, few of them are applicable…

统计方法学 · 统计学 2023-03-13 Andressa Cerqueira , Elizaveta Levina

Most multivariate outlier detection procedures ignore the spatial dependency of observations, which is present in many real data sets from various application areas. This paper introduces a new outlier detection method that accounts for a…

统计方法学 · 统计学 2024-01-25 Patricia Puchhammer , Peter Filzmoser