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Using 1000 ray-tracing simulations for a {\Lambda}-dominated cold dark model in Sato et al. (2009), we study the covariance matrix of cosmic shear correlation functions, which is the standard statistics used in the previous measurements.…

宇宙学与河外天体物理 · 物理学 2015-05-19 Masanori Sato , Masahiro Takada , Takashi Hamana , Takahiko Matsubara

We investigate three potential sources of bias in distance estimations made assuming that a very simple estimator of the baryon acoustic oscillation (BAO) scale provides a standard ruler. These are the effects of the non-linear evolution of…

天体物理学 · 物理学 2008-11-26 Jacek Guzik , Gary Bernstein , Robert E. Smith

Quantitative research in the social and behavioral sciences relies heavily on nonlinear posterior functionals such as indirect effects, standardized coefficients, effect sizes, intraclass correlations, and multilevel variance-explained…

统计方法学 · 统计学 2026-04-07 Nanyu Luo , Feng Ji

We present configuration-space estimators for the auto- and cross-covariance of two- and three-point correlation functions (2PCF and 3PCF) in general survey geometries. These are derived in the Gaussian limit (setting higher-order…

宇宙学与河外天体物理 · 物理学 2019-10-23 Oliver H. E. Philcox , Daniel J. Eisenstein

We develop a concept of weak identification in linear IV models in which the number of instruments can grow at the same rate or slower than the sample size. We propose a jackknifed version of the classical weak identification-robust…

计量经济学 · 经济学 2021-10-06 Anna Mikusheva , Liyang Sun

An accurate covariance matrix is essential for obtaining reliable cosmological results when using a Gaussian likelihood. In this paper we study the covariance of pseudo-$C_\ell$ estimates of tomographic cosmic shear power spectra. Using two…

Large-scale structures in the Universe are a powerful tool to test cosmological models and constrain cosmological parameters. A particular feature of interest comes from Baryon Acoustic Oscillations (BAOs), which are sound waves traveling…

宇宙学与河外天体物理 · 物理学 2012-11-12 A. Labatie , J. -L. Starck , M. Lachièze-Rey

We investigate the complexity of covariance matrix estimation for Gibbs distributions based on dependent samples from a Markov chain. We show that when $\pi$ satisfies a Poincar\'e inequality and the chain possesses a spectral gap, we can…

统计理论 · 数学 2024-10-23 Yunbum Kook , Matthew S. Zhang

We consider the estimation of large covariance and precision matrices from high-dimensional sub-Gaussian or heavier-tailed observations with slowly decaying temporal dependence. The temporal dependence is allowed to be long-range so with…

统计理论 · 数学 2019-12-23 Hai Shu , Bin Nan

We compute the covariance of the galaxy power spectrum multipoles in perturbation theory, including the effects of nonlinear evolution, nonlinear and nonlocal bias, radial redshift-space distortions, arbitrary survey window and shot noise.…

宇宙学与河外天体物理 · 物理学 2020-12-08 Digvijay Wadekar , Roman Scoccimarro

The forthcoming generation of galaxy redshift surveys will sample the large-scale structure of the Universe over unprecedented volumes with high-density tracers. This advancement will make robust measurements of three-point clustering…

宇宙学与河外天体物理 · 物理学 2020-05-29 Andrea Oddo , Emiliano Sefusatti , Cristiano Porciani , Pierluigi Monaco , Ariel G. Sánchez

Structural covariance analysis is a widely used structural MRI analysis method which characterises the co-relations of morphology between brain regions over a group of subjects. To our knowledge, little has been investigated in terms of the…

神经元与认知 · 定量生物学 2020-06-01 Jona Carmon , Jil Heege , Joe H Necus , Thomas W Owen , Gordon Pipa , Marcus Kaiser , Peter N Taylor , Yujiang Wang

We present measurements of the normalised redshift-space three-point correlation function (Q_z) of galaxies from the Sloan Digital Sky Survey (SDSS) main galaxy sample. We have applied our "npt" algorithm to both a volume-limited (36738…

Gaussian covariance graph model is a popular model in revealing underlying dependency structures among random variables. A Bayesian approach to the estimation of covariance structures uses priors that force zeros on some off-diagonal…

统计方法学 · 统计学 2021-12-07 Bongjung Sung , Jaeyong Lee

Deep learning models achieve high predictive accuracy across a broad spectrum of tasks, but rigorously quantifying their predictive uncertainty remains challenging. Usable estimates of predictive uncertainty should (1) cover the true…

机器学习 · 计算机科学 2020-07-28 Ahmed M. Alaa , Mihaela van der Schaar

We investigate the impact of a variety of analysis assumptions that influence cluster identification and location on the kSZ pairwise momentum signal and covariance estimation. Photometric and spectroscopic galaxy tracers from SDSS, WISE,…

宇宙学与河外天体物理 · 物理学 2018-01-03 Victoria Calafut , Rachel Bean , Byeonghee Yu

In this paper we present a new method to extract cosmological parameters using the radial scale of the Baryon Acoustic Oscillations as a standard ruler in deep galaxy surveys. The method consists in an empirical parametrization of the…

宇宙学与河外天体物理 · 物理学 2013-08-30 E. Sanchez , D. Alonso , F. J. Sanchez , J. Garcia-Bellido , I. Sevilla

We develop a jackknife empirical likelihood (JEL) framework for inference on parameters defined through multivariate three-sample U-statistic. From three independent multivariate samples, we construct JEL ratio statistic based on suitable…

统计方法学 · 统计学 2025-12-03 Naresh Garg , Litty Mathew , Isha Dewan , Sudheesh Kumar Kattumannil

The forecasted accuracy of upcoming surveys of large-scale structure cannot be achieved without a proper quantification of the error induced by foreground removal (or other systematics like 0-point photometry offset). Because these errors…

宇宙学与河外天体物理 · 物理学 2017-03-29 Manuel Colavincenzo , Pierluigi Monaco , Emiliano Sefusatti , Stefano Borgani