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Data re-sampling methods such as the delete-one jackknife are a common tool for estimating the covariance of large scale structure probes. In this paper we investigate the concepts of internal covariance estimation in the context of cosmic…

宇宙学与河外天体物理 · 物理学 2017-01-10 O. Friedrich , S. Seitz , T. F. Eifler , D. Gruen

We present a test of different error estimators for 2-point clustering statistics, appropriate for present and future large galaxy redshift surveys. Using an ensemble of very large dark matter LambdaCDM N-body simulations, we compare…

天体物理学 · 物理学 2015-05-13 Peder Norberg , Carlton M. Baugh , Enrique Gaztanaga , Darren J. Croton

We present a fast and robust alternative method to compute covariance matrix in case of cosmology studies. Our method is based on the jackknife resampling applied on simulation mock catalogues. Using a set of 600 BOSS DR11 mock catalogues…

宇宙学与河外天体物理 · 物理学 2016-06-02 S. Escoffier , M. -C. Cousinou , A. Tilquin , A. Pisani , A. Aguichine , S. de la Torre , A. Ealet , W. Gillard , E. Jullo

We present an approach for accurate estimation of the covariance of 2-point correlation functions that requires fewer mocks than the standard mock-based covariance. This can be achieved by dividing a set of mocks into jackknife regions and…

We investigate popular resampling methods for estimating the uncertainty of statistical models, such as subsampling, bootstrap and the jackknife, and their performance in high-dimensional supervised regression tasks. We provide a tight…

The jackknife method gives an internal covariance estimate for large-scale structure surveys and allows model-independent errors on cosmological parameters. Using the SDSS-III BOSS CMASS sample, we study how the jackknife size and number of…

宇宙学与河外天体物理 · 物理学 2021-07-14 Ginevra Favole , Benjamin R. Granett , Javier Silva Lafaurie , Domenico Sapone

We study the implications of including many covariates in a first-step estimate entering a two-step estimation procedure. We find that a first order bias emerges when the number of \textit{included} covariates is "large" relative to the…

计量经济学 · 经济学 2018-07-27 Matias D. Cattaneo , Michael Jansson , Xinwei Ma

Statistical resampling methods have become feasible for parametric estimation, hypothesis testing, and model validation now that the computer is a ubiquitous tool for statisticians. This essay focuses on the resampling technique for…

统计方法学 · 统计学 2016-06-03 Avery McIntosh

Resampling techniques have become increasingly popular for estimation of uncertainty in data collected via surveys. Survey data are also frequently subject to missing data which are often imputed. This note addresses the issue of using…

统计方法学 · 统计学 2023-11-27 Michael W. Robbins , Lane Burgette , Sebastian Bauhoff

We provide computationally attractive methods to obtain jackknife-based cluster-robust variance matrix estimators (CRVEs) for linear regression models estimated by least squares. We also propose several new variants of the wild cluster…

计量经济学 · 经济学 2023-02-14 James G. MacKinnon , Morten Ørregaard Nielsen , Matthew D. Webb

Resampling methods are especially well-suited to inference with estimators that provide only "black-box'' access. Jackknife is a form of resampling, widely used for bias correction and variance estimation, that is well-understood under…

统计理论 · 数学 2024-11-06 Licong Lin , Fangzhou Su , Wenlong Mou , Peng Ding , Martin Wainwright

Covariance matrix estimation, a classical statistical topic, poses significant challenges when the sample size is comparable to or smaller than the number of features. In this paper, we frame covariance matrix estimation as a compound…

统计方法学 · 统计学 2025-03-04 Huqin Xin , Sihai Dave Zhao

We give an analytical interpretation of how subsample-based internal covariance estimators lead to biased estimates of the covariance, due to underestimating the super-sample covariance (SSC). This includes the jackknife and bootstrap…

宇宙学与河外天体物理 · 物理学 2018-04-16 Fabien Lacasa , Martin Kunz

To make use of clustering statistics from large cosmological surveys, accurate and precise covariance matrices are needed. We present a new code to estimate large scale galaxy two-point correlation function (2PCF) covariances in arbitrary…

宇宙学与河外天体物理 · 物理学 2020-01-08 Oliver H. E. Philcox , Daniel J. Eisenstein , Ross O'Connell , Alexander Wiegand

For linear regression models with cross-section or panel data, it is natural to assume that the disturbances are clustered in two dimensions. However, the finite-sample properties of two-way cluster-robust tests and confidence intervals are…

计量经济学 · 经济学 2026-03-13 James G. MacKinnon , Morten Ørregaard Nielsen , Matthew D. Webb

Bootstrap is a popular methodology for simulating input uncertainty. However, it can be computationally expensive when the number of samples is large. We propose a new approach called \textbf{Orthogonal Bootstrap} that reduces the number of…

统计方法学 · 统计学 2024-05-02 Kaizhao Liu , Jose Blanchet , Lexing Ying , Yiping Lu

We analyze bias correction methods using jackknife, bootstrap, and Taylor series. We focus on the binomial model, and consider the problem of bias correction for estimating $f(p)$, where $f \in C[0,1]$ is arbitrary. We characterize the…

统计理论 · 数学 2020-06-17 Jiantao Jiao , Yanjun Han

Covariance matrix estimation is a persistent challenge for cosmology. We focus on a class of model covariance matrices that can be generated with high accuracy and precision, using a tiny fraction of the computational resources that would…

宇宙学与河外天体物理 · 物理学 2019-05-29 Ross O'Connell , Daniel J. Eisenstein

We seek to improve estimates of the power spectrum covariance matrix from a limited number of simulations by employing a novel statistical technique known as shrinkage estimation. The shrinkage technique optimally combines an empirical…

天体物理学 · 物理学 2009-11-13 Adrian C. Pope , István Szapudi

A general jackknife estimator for the asymptotic covariance of moment estimators is considered in the case when the sample is taken from a mixture with varying concentrations of components. Consistency of the estimator is demonstrated. A…

统计理论 · 数学 2019-12-18 Rostyslav Maiboroda , Olena Sugakova
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