4.7 Article

Creating jackknife and bootstrap estimates of the covariance matrix for the two-point correlation function

Related references

Note: Only part of the references are listed.
Article Astronomy & Astrophysics

Matching Bayesian and frequentist coverage probabilities when using an approximate data covariance matrix

Will J. Percival et al.

Summary: Observational astrophysics involves making inferences about the Universe through data and model comparisons. Credible intervals for model parameters are as important as maximum a posteriori probability values, and intermediate statistics are used to fit models to data. The likelihood for these statistics is usually assumed to have a multivariate Gaussian form and the covariance matrix is estimated from simulations. We introduce a prior that matches the covariance of the posterior to the distribution of true values around the maximum likelihood values, offering a consistent and conservative approach for credible intervals.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2022)

Article Astronomy & Astrophysics

The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: 1000 multi-tracer mock catalogues with redshift evolution and systematics for galaxies and quasars of the final data release

Cheng Zhao et al.

Summary: The study produced 1000 synthetic clustering catalogues to provide reliable estimates and test the robustness of the analysis of the Sloan Digital Sky Surveys data. By extending the Zel'dovich approximation density field with an effective tracer bias model, the researchers accurately reproduced the clustering statistics of the tracers in the redshift space.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2021)

Article Astronomy & Astrophysics

Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological implications from two decades of spectroscopic surveys at the Apache Point Observatory

Shadab Alam et al.

Summary: Based on the final measurements of clustering using galaxies, quasars, and Ly alpha forests from the SDSS lineage, this study provides comprehensive cosmological implications. The BAO data alone can rule out dark-energy-free models, and when combined with other measurements, significant improvements are made on constraining cosmological parameters within the ΛCDM model. The results indicate that various parameter extensions remain consistent with a ΛCDM model in a combined analysis, showing precision changes of less than 0.6% in key parameters.

PHYSICAL REVIEW D (2021)

Article Astronomy & Astrophysics

Disconnected covariance of 2-point functions in large-scale structure

Yin Li et al.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2019)

Article Astronomy & Astrophysics

Power spectrum multipoles on the curved sky: an application to the 6-degree Field Galaxy Survey

Chris Blake et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2018)

Article Astronomy & Astrophysics

Rapid modelling of the redshift-space power spectrum multipoles for a masked density field

M. J. Wilson et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2017)

Article Astronomy & Astrophysics

Galaxy two-point covariance matrix estimation for next generation surveys

Cullan Howlett et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2017)

Article Astronomy & Astrophysics

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample

Shadab Alam et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2017)

Article Astronomy & Astrophysics

Performance of internal covariance estimators for cosmic shear correlation functions

O. Friedrich et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2016)

Article Astronomy & Astrophysics

Parameter inference with estimated covariance matrices

Elena Sellentin et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2016)

Article Astronomy & Astrophysics

The clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: including covariance matrix errors

Will J. Percival et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2014)

Article Astronomy & Astrophysics

The effect of covariance estimator error on cosmological parameter constraints

Scott Dodelson et al.

PHYSICAL REVIEW D (2013)

Article Astronomy & Astrophysics

Statistical analysis of galaxy surveys - I. Robust error estimation for two-point clustering statistics

P. Norberg et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2009)

Article Astronomy & Astrophysics

A valid and fast spatial bootstrap for correlation functions

Ji Meng Loh

ASTROPHYSICAL JOURNAL (2008)