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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

This paper investigates the cross-correlations across multiple climate model errors. We build a Bayesian hierarchical model that accounts for the spatial dependence of individual models as well as cross-covariances across different climate…

Applications · Statistics 2012-03-02 Huiyan Sang , Mikyoung Jun , Jianhua Z. Huang

The primary scientific results of the future space-based gravitational wave interferometer LISA will come from the parameter inference of a large variety of gravitational wave sources. However, the presence of calibration errors could…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Etienne Savalle , Jonathan Gair , Lorenzo Speri , Stanislav Babak

The covariance matrices of power-spectrum (P(k)) measurements from galaxy surveys are difficult to compute theoretically. The current best practice is to estimate covariance matrices by computing a sample covariance of a large number of…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-03 David W. Pearson , Lado Samushia

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

Baryonic effects on large-scale structure, if not accounted for, can significantly bias dark energy constraints. As the detailed physics of the baryons is not yet well-understood, correcting for baryon effects introduces additional…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-01 David Copeland , Andy Taylor , Alex Hall

We study the correlations of the shear signal between triplets of sources in the Canada-France-Hawaii Lensing Survey (CFHTLenS) to probe cosmological parameters via the matter bispectrum. In contrast to previous studies, we adopted a…

The rigorous quantification of uncertainty in geophysical inversions is a challenging problem. Inversions are often ill-posed and the likelihood surface may be multi-modal; properties of any single mode become inadequate uncertainty…

The Lyman-$\alpha$ (Ly$\alpha$) three-dimensional correlation functions have been widely used to perform cosmological inference using the baryon acoustic oscillation (BAO) scale. While the traditional inference approach employs a data…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-15 Francesca Gerardi , Andrei Cuceu , Benjamin Joachimi , Seshadri Nadathur , Andreu Font-Ribera

We describe and test the fiducial covariance matrix model for the combined 2-point function analysis of the Dark Energy Survey Year 3 (DES-Y3) dataset. Using a variety of new ansatzes for covariance modelling and testing we validate the…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-01 O. Friedrich , F. Andrade-Oliveira , H. Camacho , O. Alves , R. Rosenfeld , J. Sanchez , X. Fang , T. F. Eifler , E. Krause , C. Chang , Y. Omori , A. Amon , E. Baxter , J. Elvin-Poole , D. Huterer , A. Porredon , J. Prat , V. Terra , A. Troja , A. Alarcon , K. Bechtol , G. M. Bernstein , R. Buchs , A. Campos , A. Carnero Rosell , M. Carrasco Kind , R. Cawthon , A. Choi , J. Cordero , M. Crocce , C. Davis , J. DeRose , H. T. Diehl , S. Dodelson , C. Doux , A. Drlica-Wagner , F. Elsner , S. Everett , P. Fosalba , M. Gatti , G. Giannini , D. Gruen , R. A. Gruendl , I. Harrison , W. G. Hartley , B. Jain , M. Jarvis , N. MacCrann , J. McCullough , J. Muir , J. Myles , S. Pandey , M. Raveri , A. Roodman , M. Rodriguez-Monroy , E. S. Rykoff , S. Samuroff , C. Sánchez , L. F. Secco , I. Sevilla-Noarbe , E. Sheldon , M. A. Troxel , N. Weaverdyck , B. Yanny , M. Aguena , S. Avila , D. Bacon , E. Bertin , S. Bhargava , D. Brooks , D. L. Burke , J. Carretero , M. Costanzi , L. N. da Costa , M. E. S. Pereira , J. De Vicente , S. Desai , A. E. Evrard , I. Ferrero , J. Frieman , J. García-Bellido , E. Gaztanaga , D. W. Gerdes , T. Giannantonio , J. Gschwend , G. Gutierrez , S. R. Hinton , D. L. Hollowood , K. Honscheid , D. J. James , K. Kuehn , O. Lahav , M. Lima , M. A. G. Maia , F. Menanteau , R. Miquel , R. Morgan , A. Palmese , F. Paz-Chinchón , A. A. Plazas , E. Sanchez , V. Scarpine , S. Serrano , M. Soares-Santos , M. Smith , E. Suchyta , G. Tarle , D. Thomas , C. To , T. N. Varga , J. Weller , R. D. Wilkinson

This paper presents a hybrid continuum discrete macro modelling strategy with a multiscale calibration procedure for realistic simulations of brick masonry bridges. The response of these structures is affected by the intrinsic nonlinearity…

Computational Engineering, Finance, and Science · Computer Science 2022-02-15 Bartolomeo Panto' , Corrado Chisari , Lorenzo Macorini , Bassam A. Izzuddin

We are entering an era where progress in cosmology is driven by data, and alternative models will have to be compared and ruled out according to some consistent criterium. The most conservative and widely used approach is Bayesian model…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-22 Savvas Nesseris , Juan Garcia-Bellido

Efron [J. Roy. Statist. Soc. Ser. B 54 (1992) 83--111] proposed a computationally efficient method, called the jackknife-after-bootstrap, for estimating the variance of a bootstrap estimator for independent data. For dependent data, a…

Statistics Theory · Mathematics 2007-06-13 S. N. Lahiri

We discuss the effects of finite sky coverage and the uncertainty in extracting information about the power spectrum from experiments on small angular scales. In general the cosmic variance is enhanced by a factor of $4\pi/A$, where $A$ is…

Astrophysics · Physics 2009-10-22 Douglas Scott , Mark Srednicki , Martin White

Critical points represent a subset of special points tracing cosmological structures, carrying remarkable topological properties. They thus offer a richer high-level description of the multiscale cosmic web, being more robust to systematic…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-08 Jeongin Moon , Graziano Rossi , Hogyun Yu

Percent-level measurements of the comoving baryon acoustic scale standard ruler can be used to break degeneracies in parameter constraints from the CMB alone. The sound horizon at the epoch of baryon drag is often used as a proxy for the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Kiattisak Thepsuriya , Antony Lewis

Contemporary data assimilation often involves millions of prediction variables. The classical Kalman filter is no longer computationally feasible in such a high dimensional context. This problem can often be resolved by exploiting the…

Statistics Theory · Mathematics 2016-06-30 Andrew J. Majda , Xin T. Tong

Modern statistical analysis often encounters datasets with large sizes. For these datasets, conventional estimation methods can hardly be used immediately because practitioners often suffer from limited computational resources. In most…

Methodology · Statistics 2023-04-14 Shuyuan Wu , Xuening Zhu , Hansheng Wang

We consider how upcoming photometric large scale structure surveys can be optimized to measure the properties of dark energy and possible cosmic scale modifications to General Relativity in light of realistic astrophysical and instrumental…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-08 Donnacha Kirk , Istvan Laszlo , Sarah Bridle , Rachel Bean

Bivariate extreme-value distributions have been used in modeling extremes in environmental sciences and risk management. An important issue is estimating the dependence function, such as the Pickands dependence function. Some estimators for…

Statistics Theory · Mathematics 2013-03-21 Liang Peng , Linyi Qian , Jingping Yang
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