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The covariance matrix of the matter power spectrum is a key element of the statistical analysis of galaxy clustering data. Independent realisations of observational measurements can be used to sample the covariance, nevertheless statistical…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-14 Linda Blot , Pier Stefano Corasaniti , Luca Amendola , Thomas D. Kitching

In the very near future, weak lensing surveys will map the projected density of the universe in an unbiased way over large regions of the sky. In order to interpret the results of studies it is helpful to develop an understanding of the…

Astrophysics · Physics 2008-11-26 Dipak Munshi , Peter Coles

Previous work on three-point statistics of cosmic shear has mainly concentrated on the convergence, or on aperture measures of the shear. However, as has become clear recently for the two-point statistics of cosmic shear, the basic quantity…

Astrophysics · Physics 2009-11-07 Peter Schneider , Marco Lombardi

Recently, it has been shown that cross-correlating CMB lensing and 3D cosmic shear allows to considerably tighten cosmological parameter constraints. We investigate whether similar improvement can be achieved in a conventional tomographic…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-27 Philipp M. Merkel , Bjoern Malte Schaefer

This paper presents the first application of 3D cosmic shear to a wide-field weak lensing survey. 3D cosmic shear is a technique that analyses weak lensing in three dimensions using a spherical harmonic approach, and does not bin data in…

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…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-23 Oliver H. E. Philcox , Daniel J. Eisenstein

Covariance matrices are important tools for obtaining reliable parameter constraints. Advancements in cosmological surveys lead to larger data vectors and, consequently, increasingly complex covariance matrices, whose number of elements…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-31 Tassia Ferreira , Valerio Marra

We investigate whether a Gaussian likelihood, as routinely assumed in the analysis of cosmological data, is supported by simulated survey data. We define test statistics, based on a novel method that first destroys Gaussian correlations in…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-15 Elena Sellentin , Alan F. Heavens

Weak lensing statistics is typically measured as weighted sum of shear estimators or their products (shear-shear correlation). The weighting schemes are designed in the hope of minimizing the statistical error without introducing systematic…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-24 Jun Zhang , Pengjie Zhang , Wentao Luo

We present high signal-to-noise measurements of three-point shear correlations and the third moment of the mass aperture statistic using the first 3 years of data from the Dark Energy Survey. We additionally obtain the first measurements of…

Cosmological weak lensing is the powerful probe of cosmology. Here we address one of the most fundamental, statistical questions inherent in weak lensing cosmology: whether or not we can recover the initial Gaussian information content of…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-15 Masahiro Takada

We present cosmological constraints from the analysis of angular power spectra of cosmic shear maps based on data from the first three years of observations by the Dark Energy Survey (DES Y3). Our measurements are based on the…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-20 C. Doux , B. Jain , D. Zeurcher , J. Lee , X. Fang , R. Rosenfeld , A. Amon , H. Camacho , A. Choi , L. F. Secco , J. Blazek , C. Chang , M. Gatti , E. Gaztanaga , N. Jeffrey , M. Raveri , S. Samuroff , A. Alarcon , O. Alves , F. Andrade-Oliveira , E. Baxter , K. Bechtol , M. R. Becker , G. M. Bernstein , A. Campos , A. Carnero Rosell , M. Carrasco Kind , R. Cawthon , R. Chen , J. Cordero , M. Crocce , C. Davis , J. DeRose , S. Dodelson , A. Drlica-Wagner , K. Eckert , T. F. Eifler , F. Elsner , J. Elvin-Poole , S. Everett , A. Ferté , P. Fosalba , O. Friedrich , G. Giannini , D. Gruen , R. A. Gruendl , I. Harrison , W. G. Hartley , K. Herner , H. Huang , E. M. Huff , D. Huterer , M. Jarvis , E. Krause , N. Kuropatkin , P. -F. Leget , P. Lemos , A. R. Liddle , N. MacCrann , J. McCullough , J. Muir , J. Myles , A. Navarro-Alsina , S. Pandey , Y. Park , A. Porredon , J. Prat , M. Rodriguez-Monroy , R. P. Rollins , A. Roodman , A. J. Ross , E. S. Rykoff , C. Sánchez , J. Sanchez , I. Sevilla-Noarbe , E. Sheldon , T. Shin , A. Troja , M. A. Troxel , I. Tutusaus , T. N. Varga , N. Weaverdyck , R. H. Wechsler , B. Yanny , B. Yin , Y. Zhang , J. Zuntz , T. M. C. Abbott , M. Aguena , S. Allam , J. Annis , D. Bacon , E. Bertin , S. Bocquet , D. Brooks , D. L. Burke , J. Carretero , M. Costanzi , L. N. da Costa , M. E. S. Pereira , J. De Vicente , S. Desai , H. T. Diehl , P. Doel , I. Ferrero , B. Flaugher , J. Frieman , J. García-Bellido , D. W. Gerdes , T. Giannantonio , J. Gschwend , G. Gutierrez , S. R. Hinton , D. L. Hollowood , K. Honscheid , D. J. James , A. G. Kim , K. Kuehn , O. Lahav , J. L. Marshall , F. Menanteau , R. Miquel , R. Morgan , R. L. C. Ogando , A. Palmese , F. Paz-Chinchón , A. Pieres , K. Reil , E. Sanchez , V. Scarpine , S. Serrano , M. Smith , E. Suchyta , M. E. C. Swanson , G. Tarle , D. Thomas , C. To , J. Weller

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…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-10 O. Friedrich , S. Seitz , T. F. Eifler , D. Gruen

Accurate covariance matrices are required for a reliable estimation of cosmological parameters from pseudo-power spectrum estimators. In this work, we focus on the analytical calculation of covariance matrices. We consider the case of…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-08 Étienne Camphuis , Karim Benabed , Silvia Galli , Éric Hivon , Marc Lilley

Weak gravitational lensing (WL) causes distortions of galaxy images and probes massive structures on large scales, allowing us to understand the late-time evolution of the Universe. One way to extract the cosmological information from WL is…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-14 Chieh-An Lin

Abstract Covariance matrix estimation is a challenging problem in cosmology. Recent work has shown that model covariance matrices can be precise, and that at relatively large scales they can also be accurate. We introduce a data-driven…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-13 Ross O'Connell

Decomposing the shear signal into E and B-modes properly, i.e. without leakage of B-modes into the E-mode signal and vice versa, has been a long-standing problem in weak gravitational lensing. At the two-point level this problem was…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Elisabeth Krause , Peter Schneider , Tim Eifler

Next-generation optical imaging surveys will revolutionise the observations of weak gravitational lensing by galaxy clusters and provide stringent constraints on growth of structure and cosmic acceleration. In these experiments, accurate…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-17 Hao-Yi Wu , David H. Weinberg , Andrés N. Salcedo , Benjamin D. Wibking , Ying Zu

Precision cosmology benefits from extracting maximal information from cosmic structures, motivating the use of higher-order statistics (HOS) at small spatial scales. However, predicting how baryonic processes modify matter statistics at…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-07 Alan Junzhe Zhou , Marco Gatti , Dhayaa Anbajagane , Scott Dodelson , Matthieu Schaller , Joop Schaye

We investigate the bias and error in estimates of the cosmological parameter covariance matrix, due to sampling or modelling the data covariance matrix, for likelihood width and peak scatter estimators. We show that these estimators do not…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Andy Taylor , Benjamin Joachimi
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