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The dynamics of the equal-time cross-correlation matrix of multivariate financial time series is explored by examination of the eigenvalue spectrum over sliding time windows. Empirical results for the S&P 500 and the Dow Jones Euro Stoxx 50…

统计金融 · 定量金融 2010-02-02 Thomas Conlon , Heather J. Ruskin , Martin Crane

We consider testing the equality of two high-dimensional covariance matrices by carrying out a multi-level thresholding procedure, which is designed to detect sparse and faint differences between the covariances. A novel U-statistic…

统计理论 · 数学 2019-10-30 Song Xi Chen , Bin Guo , Yumou Qiu

The paper addresses joint sparsity selection in the regression coefficient matrix and the error precision (inverse covariance) matrix for high-dimensional multivariate regression models in the Bayesian paradigm. The selected sparsity…

统计方法学 · 统计学 2022-01-19 Srijata Samanta , Kshitij Khare , George Michailidis

Accurate estimation for extent of cross{sectional dependence in large panel data analysis is paramount to further statistical analysis on the data under study. Grouping more data with weak relations (cross{sectional dependence) together…

计量经济学 · 经济学 2019-04-16 Jiti Gao , Guangming Pan , Yanrong Yang , Bo Zhang

The independent component model is a latent variable model where the components of the observed random vector are linear combinations of latent independent variables. The aim is to find an estimate for a transformation matrix back to…

统计理论 · 数学 2015-05-12 Joni Virta , Klaus Nordhausen , Hannu Oja

This paper addresses the problem of detecting multidimensional subspace signals, which model range-spread targets, in noise of unknown covariance. It is assumed that a primary channel of measurements, possibly consisting of signal plus…

信号处理 · 电气工程与系统科学 2022-10-04 Danilo Orlando , Giuseppe Ricci , Louis L. Scharf

Missing data and noisy observations pose significant challenges for reliably predicting events from irregularly sampled multivariate time series (longitudinal) data. Imputation methods, which are typically used for completing the data prior…

机器学习 · 统计学 2017-08-17 Hossein Soleimani , James Hensman , Suchi Saria

We introduce a new test for detection of power-law cross-correlations among a pair of time series - the rescaled covariance test. The test is based on a power-law divergence of the covariance of the partial sums of the long-range…

统计金融 · 定量金融 2013-10-10 Ladislav Kristoufek

We propose a new method for the simultaneous selection and estimation of multivariate sparse additive models with correlated errors. Our method called Covariance Assisted Multivariate Penalized Additive Regression (CoMPAdRe) simultaneously…

We propose a two-sample test for covariance matrices in the high-dimensional regime, where the dimension diverges proportionally to the sample size. Our hybrid test combines a Frobenius-norm-based statistic as considered in Li and Chen…

统计理论 · 数学 2025-06-10 Thomas Lam , Nina Dörnemann , Holger Dette

We consider inference for misaligned multivariate functional data that represents the same underlying curve, but where the functional samples have systematic differences in shape. In this paper we introduce a new class of generally…

应用统计 · 统计学 2023-01-23 Niels Lundtorp Olsen , Bo Markussen , Lars Lau Rakêt

Existing methods for high-dimensional changepoint detection and localization typically focus on changes in either the mean vector or the covariance matrix separately. This separation reduces detection power and localization accuracy when…

统计理论 · 数学 2025-08-28 Junfeng Cui , Guangming Pan , Guanghui Wang , Changliang Zou

Graphical models are commonly used to represent conditional dependence relationships between variables. There are multiple methods available for exploring them from high-dimensional data, but almost all of them rely on the assumption that…

机器学习 · 统计学 2020-04-22 Tianxi Li , Cheng Qian , Elizaveta Levina , Ji Zhu

A Bayesian approach is used to estimate the covariance matrix of Gaussian data. Ideas from Gaussian graphical models and model selection are used to construct a prior for the covariance matrix that is a mixture over all decomposable graphs.…

统计方法学 · 统计学 2007-06-12 Helen Armstrong , Christopher K. Carter , Kevin F. Wong , Robert Kohn

The effectiveness and validity of applying variation partitioning methods in community ecology has been questioned. Here, using mathematical deduction and numerical simulation, we made an attempt to uncover the underlying mechanisms…

种群与进化 · 定量生物学 2014-02-17 Youhua Chen

We consider the problem of detecting signals in the rank-one signal-plus-noise data matrix models that generalize the spiked Wishart matrices. We show that the principal component analysis can be improved by pre-transforming the matrix…

统计理论 · 数学 2021-04-29 Ji Hyung Jung , Hye Won Chung , Ji Oon Lee

Many approaches for multiple testing begin with the assumption that all tests in a given study should be combined into a global false-discovery-rate analysis. But this may be inappropriate for many of today's large-scale screening problems,…

统计方法学 · 统计学 2014-06-10 James G. Scott , Ryan C. Kelly , Matthew A. Smith , Pengcheng Zhou , Robert E. Kass

The random coefficients model is an extension of the linear regression model that allows for unobserved heterogeneity in the population by modeling the regression coefficients as random variables. Given data from this model, the statistical…

统计方法学 · 统计学 2018-03-15 Fabian Dunker , Konstantin Eckle , Katharina Proksch , Johannes Schmidt-Hieber

In this letter, we study the joint device activity and delay detection problem in asynchronous massive machine-type communications (mMTC), where all active devices asynchronously transmit their preassigned preamble sequences to the base…

信息论 · 计算机科学 2022-03-02 Zhaorui Wang , Ya-Feng Liu , Liang Liu

Continuously indexed datasets with multiple variables have become ubiquitous in the geophysical, ecological, environmental and climate sciences, and pose substantial analysis challenges to scientists and statisticians. For many years,…

统计方法学 · 统计学 2015-07-30 Marc G. Genton , William Kleiber