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Distributional approximations of (bi--) linear functions of sample variance-covariance matrices play a critical role to analyze vector time series, as they are needed for various purposes, especially to draw inference on the dependence…

概率论 · 数学 2018-03-20 Ansgar Steland , Rainer von Sachs

Economists are blessed with a wealth of data for analysis, but more often than not, values in some entries of the data matrix are missing. Various methods have been proposed to handle missing observations in a few variables. We exploit the…

计量经济学 · 经济学 2022-02-02 Ercument Cahan , Jushan Bai , Serena Ng

Rapid developments in satellite remote-sensing technology have enabled the collection of geospatial data on a global scale, hence increasing the need for covariance functions that can capture spatial dependence on spherical domains. We…

统计方法学 · 统计学 2022-08-17 Jian Cao , Jingjie Zhang , Zhuoer Sun , Matthias Katzfuss

Ongoing and upcoming wide-field surveys at different wavelengths will measure the distribution of galaxy clusters with unprecedented precision, demanding accurate models for the two-point correlation function (2PCF) covariance. In this…

宇宙学与河外天体物理 · 物理学 2025-05-21 Alessandra Fumagalli , Tiago Castro , Stefano Borgani , Milena Valentini

We analyze deep inelastic scattering at small Bjorken x, using the approximate conformal invariance of QCD at high energies. Hard pomeron exchanges are resummed eikonally, restoring unitarity at large values of the phase shift in the dual…

高能物理 - 唯象学 · 物理学 2009-03-19 Lorenzo Cornalba , Miguel S. Costa

Large scale structure surveys are likely the next leading probe of cosmological information. It is therefore crucial to reliably predict their observables. The Effective Field Theory of Large Scale Structures (EFTofLSS) provides a…

宇宙学与河外天体物理 · 物理学 2015-06-15 John Joseph M. Carrasco , Simon Foreman , Daniel Green , Leonardo Senatore

We revisit the feasibility of a cosmological test with the geometric distortion focusing on an ambiguous factor of the evolution of bias. Starting from defining estimators for the spatial two-point correlation function and the power…

天体物理学 · 物理学 2007-05-23 Kazuhiro Yamamoto , Hiroaki Nishioka , Atsushi Taruya

In massive multiple-input multiple-output (MIMO) systems, the knowledge of the users' channel covariance matrix is crucial for minimum mean square error (MMSE) channel estimation in the uplink as well as it plays an important role in…

信息论 · 计算机科学 2022-06-07 Tianyu Yang , Mahdi Barzegar Khalilsarai , Saeid Haghighatshoar , Giuseppe Caire

We show how to estimate the covariance of the power spectrum of a statistically homogeneous and isotropic density field from a single periodic simulation, by applying a set of weightings to the density field, and by measuring the scatter in…

天体物理学 · 物理学 2009-11-11 A. J. S. Hamilton , C. D. Rimes , R. Scoccimarro

We study the covariance properties of real space correlation function estimators -- primarily galaxy-shear correlations, or galaxy-galaxy lensing -- using SDSS data for both shear catalogs and lenses (specifically the BOSS LOWZ sample).…

宇宙学与河外天体物理 · 物理学 2017-08-30 Sukhdeep Singh , Rachel Mandelbaum , Uroš Seljak , Anže Slosar , Jose Vazquez Gonzalez

We introduce a two-particle correlation function (2PCF) for the Milky Way, constructed to probe spatial correlations in the orthogonal directions of the stellar disk in the Galactic cylindrical coordinates of $R$, $\phi$, and $z$. We use…

星系天体物理 · 物理学 2023-01-16 Austin Hinkel , Susan Gardner , Brian Yanny

We show that the limiting variance of a sequence of estimators for a structured covariance matrix has a general form that appears as the variance of a scaled projection of a random matrix that is of radial type and a similar result is…

统计理论 · 数学 2024-07-03 Hendrik Paul Lopuhaä

Principal component analysis (PCA) is arguably the most widely used approach for large-dimensional factor analysis. While it is effective when the factors are sufficiently strong, it can be inconsistent when the factors are weak and/or the…

统计方法学 · 统计学 2025-08-22 Zhongyuan Lyu , Ming Yuan

Interfacial phenomena associated with fluid adsorption in two dimensional systems has recently been shown to exhibit hidden symmetries, or covariances, which precisely relate local adsorption properties in different confining geometries. We…

统计力学 · 物理学 2009-11-10 C. Rascon , A. O. Parry

The most common statistic used to analyze large-scale structure surveys is the correlation function, or power spectrum. Here, we show how `slicing' the correlation function on local density brings sensitivity to interesting non-Gaussian…

宇宙学与河外天体物理 · 物理学 2018-05-15 Mark C. Neyrinck , István Szapudi , Nuala McCullagh , Alex Szalay , Bridget Falck , Jie Wang

Multivariate processes with long-range dependent properties are found in a large number of applications including finance, geophysics and neuroscience. For real data applications, the correlation between time series is crucial. Usual…

统计理论 · 数学 2015-11-02 Sophie Achard , Irène Gannaz

Knowing brain connectivity is of great importance both in basic research and for clinical applications. We are proposing a method to infer directed connectivity from zero-lag covariances of neuronal activity recorded at multiple sites. This…

The abundance of clusters and the clustering of galaxies are two of the important cosmological probes for current and future large scale surveys of galaxies, such as the Dark Energy Survey. In order to combine them one has to account for…

宇宙学与河外天体物理 · 物理学 2016-08-17 Fabien Lacasa , Rogerio Rosenfeld

The covariance of two random variables measures the average joint deviations from their respective means. We generalise this well-known measure by replacing the means with other statistical functionals such as quantiles, expectiles, or…

统计方法学 · 统计学 2023-09-22 Tobias Fissler , Marc-Oliver Pohle

A Bayesian multivariate model with a structured covariance matrix for multi-way nested data is proposed. This flexible modeling framework allows for positive and for negative associations among clustered observations, and generalizes the…

统计方法学 · 统计学 2024-08-27 Stef Baas , Richard J. Boucherie , Jean-Paul Fox
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