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Independent Vector Analysis (IVA) has emerged in recent years as an extension of Independent Component Analysis (ICA) into multiple sets of mixtures, where the source signals in each set are independent, but may depend on source signals in…

信号处理 · 电气工程与系统科学 2020-09-01 Amir Weiss , Arie Yeredor , Sher Ali Cheema , Martin Haardt

In the context of Independent Component Analysis (ICA), noisy mixtures pose a dilemma regarding the desired objective. On one hand, a "maximally separating" solution, providing the minimal attainable Interference-to-Source-Ratio (ISR),…

应用统计 · 统计学 2019-10-02 Amir Weiss , Arie Yeredor

We consider distributed estimation of the inverse covariance matrix, also called the concentration or precision matrix, in Gaussian graphical models. Traditional centralized estimation often requires global inference of the covariance…

机器学习 · 统计学 2015-06-15 Zhaoshi Meng , Dennis Wei , Ami Wiesel , Alfred O. Hero

We consider quasi maximum likelihood (QML) estimation for general non-Gaussian discrete-ime linear state space models and equidistantly observed multivariate L\'evy-driven continuoustime autoregressive moving average (MCARMA) processes. In…

统计理论 · 数学 2015-05-19 Eckhard Schlemm , Robert Stelzer

In this paper the Gaussian quasi maximum likelihood estimator (GQMLE) is generalized by applying a transform to the probability distribution of the data. The proposed estimator, called measure-transformed GQMLE (MT-GQMLE), minimizes the…

统计方法学 · 统计学 2016-10-19 Koby Todros , Alfred O. Hero

In this paper, we investigate quasi-maximum likelihood (QML) estimation for the parameters of a cointegrated solution of a continuous-time linear state space model observed at discrete time points. The class of cointegrated solutions of…

统计理论 · 数学 2019-11-11 Vicky Fasen-Hartmann , Markus Scholz

This paper is about vector autoregressive-moving average (VARMA) models with time-dependent coefficients to represent non-stationary time series. Contrarily to other papers in the univariate case, the coefficients depend on time but not on…

统计理论 · 数学 2015-06-05 Abdelkamel Alj , Christophe Ley , Guy Mélard

For estimating the large covariance matrix with a limited sample size, we propose the covariance model with general linear structure (CMGL) by employing the general link function to connect the covariance of the continuous response vector…

统计方法学 · 统计学 2022-05-17 Xinyan Fan , Wei Lan , Tao Zou , Chih-Ling Tsai

Headline constraints on cosmological parameters from current weak lensing surveys are derived from two-point statistics that are known to be statistically sub-optimal, even in the case of Gaussian fields. We study the performance of a new…

宇宙学与河外天体物理 · 物理学 2023-02-15 Alessandro Maraio , Alex Hall , Andy Taylor

Independent vector analysis (IVA) is an attractive solution to address the problem of joint blind source separation (JBSS), that is, the simultaneous extraction of latent sources from several datasets implicitly sharing some information.…

In this work, we provide non-asymptotic, probabilistic guarantees for successful recovery of the common nonzero support of jointly sparse Gaussian sources in the multiple measurement vector (MMV) problem. The support recovery problem is…

信息论 · 计算机科学 2021-07-27 Saurabh Khanna , Chandra R. Murthy

We consider a general multivariate model where univariate marginal distributions are known up to a parameter vector and we are interested in estimating that parameter vector without specifying the joint distribution, except for the…

综合经济学 · 经济学 2024-02-01 Ivan Medovikov , Valentyn Panchenko , Artem Prokhorov

Graphical models are a framework for representing and exploiting prior conditional independence structures within distributions using graphs. In the Gaussian case, these models are directly related to the sparsity of the inverse covariance…

统计理论 · 数学 2015-10-28 Ami Wiesel , Yonina C. Eldar , Alfred O. Hero

By formulating the inverse problem of partial differential equations (PDEs) as a statistical inference problem, the Bayesian approach provides a general framework for quantifying uncertainties. In the inverse problem of PDEs, parameters are…

数值分析 · 数学 2026-02-10 Haoyu Lu , Junxiong Jia , Deyu Meng

This paper investigates the quasi-maximum likelihood inference including estimation, model selection and diagnostic checking for linear double autoregressive (DAR) models, where all asymptotic properties are established under only…

统计方法学 · 统计学 2024-02-02 Hua Liu , Songhua Tan , Qianqian Zhu

This paper establishes the almost sure convergence and asymptotic normality of levels and differenced quasi maximum-likelihood (QML) estimators of dynamic panel data models. The QML estimators are robust with respect to initial conditions,…

统计理论 · 数学 2017-02-03 Robert F. Phillips

Semi- and non-parametric mixture of regressions are a very useful flexible class of mixture of regressions in which some or all of the parameters are non-parametric functions of the covariates. These models are, however, based on the…

统计方法学 · 统计学 2026-01-21 Peterson Mambondimumwe , Sphiwe B. Skhosana , Najmeh Nakhaei Rad

This article presents maximum likelihood estimators (MLEs) and log-likelihood ratio (LLR) tests for the eigenvalues and eigenvectors of Gaussian random symmetric matrices of arbitrary dimension, where the observations are independent…

统计理论 · 数学 2009-01-22 Armin Schwartzman , Walter F. Mascarenhas , Jonathan E. Taylor

This paper estimates the break point for large-dimensional factor models with a single structural break in factor loadings at a common unknown date. First, we propose a quasi-maximum likelihood (QML) estimator of the change point based on…

计量经济学 · 经济学 2021-04-01 Jiangtao Duan , Jushan Bai , Xu Han

Knowing the link between observed predictive variables and outcomes is crucial for making inference in any regression model. When this link is missing, partially or completely, classical estimation methods fail in recovering the true…

统计理论 · 数学 2026-01-28 Fadoua Balabdaoui , Jinyu Chen
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