BAO from angular clustering: optimization and mitigation of theoretical systematics

Chan, K. C.; Crocce, M.; Ross, A. J.; Avila, S.; Elvin-Poole, J.; Manera, M.; Percival, W. J.; Rosenfeld, R.; Abbott, T. M. C.; Abdalla, F. B.; Allam, S.; Bertin, E.; Brooks, D.; Burke, D. L.; Carnero Rosell, A.; Carrasco Kind, M.; Carretero, J.; Castander, F. J.; Cunha, C. E.; D’Andrea, C. B.; da Costa, L. N.; Davis, C.; De Vicente, J.; Eifler, T. F.; Estrada, J.; Flaugher, B.; Fosalba, P.; Frieman, J.; García-Bellido, J.; Gaztanaga, E.; Gerdes, D. W.; Gruen, D.; Gruendl, R. A.; Gschwend, J.; Gutierrez, G.; Hartley, W. G.; Honscheid, K.; Hoyle, B.; James, D. J.; Krause, E.; Kuehn, K.; Lahav, O.; Lima, M.; March, M.; Menanteau, F.; Miller, C. J.; Miquel, R.; Plazas, A. A.; Reil, K.; Roodman, A.; Sanchez, E.; Scarpine, V.; Sevilla-Noarbe, I.; Smith, M.; Soares-Santos, M.; Sobreira, F.; Suchyta, E.; Swanson, M. E. C.; Tarle, G.; Thomas, D.; Walker, A. R.

doi:10.1093/mnras/sty2036

Title: BAO from angular clustering: optimization and mitigation of theoretical systematics

Abstract

We study the methodology and potential theoretical systematics of measuring baryon acoustic oscillations (BAO) using the angular correlation functions in tomographic bins. We calibrate and optimize the pipeline for the Dark Energy Survey Year 1 data set using 1800 mocks. We compare the BAO fitting results obtained with three estimators: the Maximum Likelihood Estimator (MLE), Profile Likelihood, and Markov Chain Monte Carlo. The fit results from the MLE are the least biased and their derived 1σ error bar are closest to the Gaussian distribution value after removing the extreme mocks with non-detected BAO signal. We show that incorrect assumptions in constructing the template, such as mismatches from the cosmology of the mocks or the underlying photo-z errors, can lead to BAO angular shifts. We find that MLE is the method that best traces this systematic biases, allowing to recover the true angular distance values. In a real survey analysis, it may happen that the final data sample properties are slightly different from those of the mock catalogue. We show that the effect on the mock covariance due to the sample differences can be corrected with the help of the Gaussian covariance matrix or more effectively using the eigenmode expansion ofmore »« less

Authors:

Chan, K. C. ^[1];

^[2];

^[3];

^[4]; Elvin-Poole, J. ^[5]; Manera, M. ^[6]; Percival, W. J. ^[7]; Rosenfeld, R. ^[8]; Abbott, T. M. C. ^[9]; Abdalla, F. B. ^[10]; Allam, S. ^[11]; Bertin, E. ^[12]; Brooks, D. ^[6]; Burke, D. L. ^[13]; Carnero Rosell, A. ^[14]; Carrasco Kind, M. ^[15]; Carretero, J. ^[16]; Castander, F. J. ^[2]; Cunha, C. E. ^[17]; D’Andrea, C. B. ^[18] more »

School of Physics and Astronomy, Sun Yat-Sen University, Guangzhou 510275, China; Institut d’Estudis Espacials de Catalunya (IEEC), E-08193 Barcelona, Spain; Institute of Space Sciences (ICE, CSIC), Campus UAB, Carrer de Can Magrans, s/n, E-08193 Barcelona, Spain
Institut d’Estudis Espacials de Catalunya (IEEC), E-08193 Barcelona, Spain; Institute of Space Sciences (ICE, CSIC), Campus UAB, Carrer de Can Magrans, s/n, E-08193 Barcelona, Spain
Center for Cosmology and Astro-Particle Physics, The Ohio State University, Columbus, OH 43210, USA
Institute of Cosmology, Gravitation, University of Portsmouth, Portsmouth PO1 3FX, UK; Instituto de Fisica Teorica UAM/CSIC, Universidad Autonoma de Madrid, E-28049 Madrid, Spain
Jodrell Bank Center for Astrophysics, School of Physics and Astronomy, University of Manchester, Oxford Road, Manchester M13 9PL, UK
Department of Physics, Astronomy, University College London, Gower Street, London WC1E 6BT, UK
Institute of Cosmology, Gravitation, University of Portsmouth, Portsmouth PO1 3FX, UK
ICTP South American Institute for Fundamental Research Instituto de Física Teórica, Universidade Estadual Paulista, São Paulo, Brazil; Laboratório Interinstitucional de e-Astronomia - LIneA, Rua Gal. José Cristino 77, Rio de Janeiro, RJ – 20921-400, Brazil
Cerro Tololo Inter-American Observatory, National Optical Astronomy Observatory, Casilla 603, La Serena, Chile
Department of Physics, Astronomy, University College London, Gower Street, London WC1E 6BT, UK; Department of Physics and Electronics, Rhodes University, PO Box 94, Grahamstown 6140, South Africa
Fermi National Accelerator Laboratory, PO Box 500, Batavia, IL 60510, USA
CNRS, UMR 7095, Institut d’Astrophysique de Paris, F-75014, Paris, France; Institut d’Astrophysique de Paris, Sorbonne Universités, UPMC Univ Paris 06, UMR 7095, F-75014, Paris, France
Kavli Institute for Particle Astrophysics, Cosmology, PO Box 2450, Stanford University, Stanford, CA 94305, USA; SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
Laboratório Interinstitucional de e-Astronomia - LIneA, Rua Gal. José Cristino 77, Rio de Janeiro, RJ – 20921-400, Brazil; Observatório Nacional, Rua Gal. José Cristino 77, Rio de Janeiro, RJ – 20921-400, Brazil
Department of Astronomy, University of Illinois at Urbana-Champaign, 1002 W. Green Street, Urbana, IL 61801, USA; National Center for Supercomputing Applications, 1205 West Clark St., Urbana, IL 61801, USA
Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UAB, E-08193 Bellaterra (Barcelona), Spain
Kavli Institute for Particle Astrophysics, Cosmology, PO Box 2450, Stanford University, Stanford, CA 94305, USA
Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104, USA
Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas (CIEMAT), Madrid, Spain
Department of Astronomy/Steward Observatory, 933 North Cherry Avenue, Tucson, AZ 85721-0065, USA; Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Dr., Pasadena, CA 91109, USA
Fermi National Accelerator Laboratory, PO Box 500, Batavia, IL 60510, USA; Kavli Institute for Cosmological Physics, University of Chicago, Chicago, IL 60637, USA
Instituto de Fisica Teorica UAM/CSIC, Universidad Autonoma de Madrid, E-28049 Madrid, Spain
Department of Astronomy, University of Michigan, Ann Arbor, MI 48109, USA; Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA
Department of Physics, Astronomy, University College London, Gower Street, London WC1E 6BT, UK; Department of Physics, ETH Zurich, Wolfgang-Pauli-Strasse 16, CH-8093 Zurich, Switzerland
Center for Cosmology and Astro-Particle Physics, The Ohio State University, Columbus, OH 43210, USA; Department of Physics, The Ohio State University, Columbus, OH 43210, USA
Max Planck Institute for Extraterrestrial Physics, Giessenbachstrasse, D-85748 Garching, Germany; Universitäts-Sternwarte, Fakultät für Physik, Ludwig-Maximilians Universität München, Scheinerstr. 1, D-81679 München, Germany
Harvard-Smithsonian Center for Astrophysics, Cambridge, MA 02138, USA
Australian Astronomical Observatory, North Ryde, NSW 2113, Australia
Laboratório Interinstitucional de e-Astronomia - LIneA, Rua Gal. José Cristino 77, Rio de Janeiro, RJ – 20921-400, Brazil; Departamento de Física Matemática, Instituto de Física, Universidade de São Paulo, CP 66318, São Paulo, SP 05314-970, Brazil
Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UAB, E-08193 Bellaterra (Barcelona), Spain; Institució Catalana de Recerca i Estudis Avançats, E-08010 Barcelona, Spain
Jet Propulsion Laboratory, California Institute of Technology, 4800 Oak Grove Dr., Pasadena, CA 91109, USA
SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, UK
Laboratório Interinstitucional de e-Astronomia - LIneA, Rua Gal. José Cristino 77, Rio de Janeiro, RJ – 20921-400, Brazil; Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, 13083-859, Campinas, SP, Brazil
Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA
National Center for Supercomputing Applications, 1205 West Clark St., Urbana, IL 61801, USA
Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA

Publication Date:: 2018-07-30

Research Org.:: SLAC National Accelerator Lab., Menlo Park, CA (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Contributing Org.:: DES Collaboration

OSTI Identifier:: 1422720

Alternate Identifier(s):: OSTI ID: 1479701

Report Number(s):: arXiv:1801.04390; DES-2017-0306; FERMILAB-PUB-17-590
Journal ID: ISSN 0035-8711; 1648114

Grant/Contract Number:: AC02-07CH11359; AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Monthly Notices of the Royal Astronomical Society

Additional Journal Information:: Journal Volume: 480; Journal Issue: 3; Journal ID: ISSN 0035-8711

Publisher:: Royal Astronomical Society

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; cosmology: observations; large-scale structure of Universe

Citation Formats


                    Chan, K. C., Crocce, M., Ross, A. J., Avila, S., Elvin-Poole, J., Manera, M., Percival, W. J., Rosenfeld, R., Abbott, T. M. C., Abdalla, F. B., Allam, S., Bertin, E., Brooks, D., Burke, D. L., Carnero Rosell, A., Carrasco Kind, M., Carretero, J., Castander, F. J., Cunha, C. E., D’Andrea, C. B., da Costa, L. N., Davis, C., De Vicente, J., Eifler, T. F., Estrada, J., Flaugher, B., Fosalba, P., Frieman, J., García-Bellido, J., Gaztanaga, E., Gerdes, D. W., Gruen, D., Gruendl, R. A., Gschwend, J., Gutierrez, G., Hartley, W. G., Honscheid, K., Hoyle, B., James, D. J., Krause, E., Kuehn, K., Lahav, O., Lima, M., March, M., Menanteau, F., Miller, C. J., Miquel, R., Plazas, A. A., Reil, K., Roodman, A., Sanchez, E., Scarpine, V., Sevilla-Noarbe, I., Smith, M., Soares-Santos, M., Sobreira, F., Suchyta, E., Swanson, M. E. C., Tarle, G., Thomas, D., and Walker, A. R. BAO from angular clustering: optimization and mitigation of theoretical systematics.  United States: N. p., 2018. 
        Web.  doi:10.1093/mnras/sty2036.

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                    Chan, K. C., Crocce, M., Ross, A. J., Avila, S., Elvin-Poole, J., Manera, M., Percival, W. J., Rosenfeld, R., Abbott, T. M. C., Abdalla, F. B., Allam, S., Bertin, E., Brooks, D., Burke, D. L., Carnero Rosell, A., Carrasco Kind, M., Carretero, J., Castander, F. J., Cunha, C. E., D’Andrea, C. B., da Costa, L. N., Davis, C., De Vicente, J., Eifler, T. F., Estrada, J., Flaugher, B., Fosalba, P., Frieman, J., García-Bellido, J., Gaztanaga, E., Gerdes, D. W., Gruen, D., Gruendl, R. A., Gschwend, J., Gutierrez, G., Hartley, W. G., Honscheid, K., Hoyle, B., James, D. J., Krause, E., Kuehn, K., Lahav, O., Lima, M., March, M., Menanteau, F., Miller, C. J., Miquel, R., Plazas, A. A., Reil, K., Roodman, A., Sanchez, E., Scarpine, V., Sevilla-Noarbe, I., Smith, M., Soares-Santos, M., Sobreira, F., Suchyta, E., Swanson, M. E. C., Tarle, G., Thomas, D., & Walker, A. R. BAO from angular clustering: optimization and mitigation of theoretical systematics.  United States.  doi:https://doi.org/10.1093/mnras/sty2036

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                    Chan, K. C., Crocce, M., Ross, A. J., Avila, S., Elvin-Poole, J., Manera, M., Percival, W. J., Rosenfeld, R., Abbott, T. M. C., Abdalla, F. B., Allam, S., Bertin, E., Brooks, D., Burke, D. L., Carnero Rosell, A., Carrasco Kind, M., Carretero, J., Castander, F. J., Cunha, C. E., D’Andrea, C. B., da Costa, L. N., Davis, C., De Vicente, J., Eifler, T. F., Estrada, J., Flaugher, B., Fosalba, P., Frieman, J., García-Bellido, J., Gaztanaga, E., Gerdes, D. W., Gruen, D., Gruendl, R. A., Gschwend, J., Gutierrez, G., Hartley, W. G., Honscheid, K., Hoyle, B., James, D. J., Krause, E., Kuehn, K., Lahav, O., Lima, M., March, M., Menanteau, F., Miller, C. J., Miquel, R., Plazas, A. A., Reil, K., Roodman, A., Sanchez, E., Scarpine, V., Sevilla-Noarbe, I., Smith, M., Soares-Santos, M., Sobreira, F., Suchyta, E., Swanson, M. E. C., Tarle, G., Thomas, D., and Walker, A. R. Mon .  
        "BAO from angular clustering: optimization and mitigation of theoretical systematics".  United States.  doi:https://doi.org/10.1093/mnras/sty2036.  https://www.osti.gov/servlets/purl/1422720.

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@article{osti_1422720,

  title        = {BAO from angular clustering: optimization and mitigation of theoretical systematics},

  author       = {Chan, K. C. and Crocce, M. and Ross, A. J. and Avila, S. and Elvin-Poole, J. and Manera, M. and Percival, W. J. and Rosenfeld, R. and Abbott, T. M. C. and Abdalla, F. B. and Allam, S. and Bertin, E. and Brooks, D. and Burke, D. L. and Carnero Rosell, A. and Carrasco Kind, M. and Carretero, J. and Castander, F. J. and Cunha, C. E. and D’Andrea, C. B. and da Costa, L. N. and Davis, C. and De Vicente, J. and Eifler, T. F. and Estrada, J. and Flaugher, B. and Fosalba, P. and Frieman, J. and García-Bellido, J. and Gaztanaga, E. and Gerdes, D. W. and Gruen, D. and Gruendl, R. A. and Gschwend, J. and Gutierrez, G. and Hartley, W. G. and Honscheid, K. and Hoyle, B. and James, D. J. and Krause, E. and Kuehn, K. and Lahav, O. and Lima, M. and March, M. and Menanteau, F. and Miller, C. J. and Miquel, R. and Plazas, A. A. and Reil, K. and Roodman, A. and Sanchez, E. and Scarpine, V. and Sevilla-Noarbe, I. and Smith, M. and Soares-Santos, M. and Sobreira, F. and Suchyta, E. and Swanson, M. E. C. and Tarle, G. and Thomas, D. and Walker, A. R.},

  abstractNote = {We study the methodology and potential theoretical systematics of measuring baryon acoustic oscillations (BAO) using the angular correlation functions in tomographic bins. We calibrate and optimize the pipeline for the Dark Energy Survey Year 1 data set using 1800 mocks. We compare the BAO fitting results obtained with three estimators: the Maximum Likelihood Estimator (MLE), Profile Likelihood, and Markov Chain Monte Carlo. The fit results from the MLE are the least biased and their derived 1σ error bar are closest to the Gaussian distribution value after removing the extreme mocks with non-detected BAO signal. We show that incorrect assumptions in constructing the template, such as mismatches from the cosmology of the mocks or the underlying photo-z errors, can lead to BAO angular shifts. We find that MLE is the method that best traces this systematic biases, allowing to recover the true angular distance values. In a real survey analysis, it may happen that the final data sample properties are slightly different from those of the mock catalogue. We show that the effect on the mock covariance due to the sample differences can be corrected with the help of the Gaussian covariance matrix or more effectively using the eigenmode expansion of the mock covariance. In the eigenmode expansion, the eigenmodes are provided by some proxy covariance matrix. The eigenmode expansion is significantly less susceptible to statistical fluctuations relative to the direct measurements of the covariance matrix because of the number of free parameters is substantially reduced.},

  doi          = {10.1093/mnras/sty2036},

  journal      = {Monthly Notices of the Royal Astronomical Society},

  number       = 3,

  volume       = 480,

  place        = {United States},

  year         = {2018},

  month        = {7}

}

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Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models
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Mohammed, Irshad; Seljak, Uroš; Vlah, Zvonimir
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Padmanabhan, Nikhil; White, Martin
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Padmanabhan, Nikhil; Schlegel, David J.; Seljak, Uroš
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Optimized clustering estimators for BAO measurements accounting for significant redshift uncertainty
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The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: angular clustering tomography and its cosmological implications
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Salazar-Albornoz, Salvador; Sánchez, Ariel G.; Grieb, Jan Niklas
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The Bispectrum: From Theory to Observations
journal, December 2000

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Parameter inference with estimated covariance matrices
journal, December 2015

Sellentin, Elena; Heavens, Alan F.
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Improved Forecasts for the Baryon Acoustic Oscillations and Cosmological Distance Scale
journal, August 2007

Seo, Hee‐Jong; Eisenstein, Daniel J.
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Acoustic Scale from the Angular Power Spectra of Sdss-Iii dr8 Photometric Luminous Galaxies
journal, November 2012

Seo, Hee-Jong; Ho, Shirley; White, Martin
The Astrophysical Journal, Vol. 761, Issue 1
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journal, June 2014

Taylor, A.; Joachimi, B.
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Ade, P. A. R.; Aghanim, N.; Arnaud, M.
Astronomy & Astrophysics, Vol. 594
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Works referencing / citing this record:

Dark Energy Survey year 1 results: galaxy sample for BAO measurement
journal, September 2018

Crocce, M.; Ross, A. J.; Sevilla-Noarbe, I.
Monthly Notices of the Royal Astronomical Society, Vol. 482, Issue 2
DOI: 10.1093/mnras/sty2522

Dark Energy Survey year 1 results: galaxy sample for BAO measurement
journal, September 2018

Crocce, M.; Ross, A. J.; Sevilla-Noarbe, I.
Monthly Notices of the Royal Astronomical Society, Vol. 482, Issue 2
DOI: 10.1093/mnras/sty2522

Dark Energy Survey Year 1 results: measurement of the baryon acoustic oscillation scale in the distribution of galaxies to redshift 1
journal, December 2018

Abbott, T. M. C.; Abdalla, F. B.; Alarcon, A.
Monthly Notices of the Royal Astronomical Society, Vol. 483, Issue 4
DOI: 10.1093/mnras/sty3351

Dark Energy Survey Year 1 results: measurement of the galaxy angular power spectrum
journal, June 2019

Camacho, H.; Kokron, N.; Andrade-Oliveira, F.
Monthly Notices of the Royal Astronomical Society, Vol. 487, Issue 3
DOI: 10.1093/mnras/stz1514

Cosmological Constraints from Multiple Probes in the Dark Energy Survey
journal, May 2019

Abbott, T. M. C.; Alarcon, A.; Allam, S.
Physical Review Letters, Vol. 122, Issue 17
DOI: 10.1103/physrevlett.122.171301

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Title: BAO from angular clustering: optimization and mitigation of theoretical systematics

Abstract

Citation Formats

Planck 2015 results : XIII. Cosmological parameters journal, September 2016

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample journal, March 2017

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: baryon acoustic oscillations in the Data Releases 10 and 11 Galaxy samples journal, April 2014

The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: first measurement of baryon acoustic oscillations between redshift 0.8 and 2.2 journal, October 2017

HALOGEN: a tool for fast generation of mock halo catalogues journal, April 2015

Dark Energy Survey Year-1 results: galaxy mock catalogues for BAO journal, May 2018

Measurement of baryon acoustic oscillation correlations at z = 2.3 with SDSS DR12 Ly α -Forests journal, June 2017

The 6dF Galaxy Survey: baryon acoustic oscillations and the local Hubble constant: 6dFGS: BAOs and the local Hubble constant journal, July 2011

Non-linear matter power spectrum covariance matrix errors and cosmological parameter uncertainties journal, March 2016

Cosmic background radiation anisotropies in universes dominated by nonbaryonic dark matter journal, October 1984

The statistics of cosmic background radiation fluctuations journal, June 1987

Clustering of photometric luminous red galaxies - II. Cosmological implications from the baryon acoustic scale: Implications from the baryon acoustic scale journal, November 2011

Power spectrum and correlation function errors: Poisson vs. Gaussian shot noise journal, January 2006

Fourier analysis of redshift-space distortions and the determination of journal, April 1994

The 2dF Galaxy Redshift Survey: power-spectrum analysis of the final data set and cosmological implications journal, September 2005

Nonlinear evolution of baryon acoustic oscillations journal, January 2008

Modelling the angular correlation function and its full covariance in photometric galaxy surveys: Angular clustering in photometric surveys journal, March 2011

Large-scale analysis of the SDSS-III DR8 photometric luminous galaxies angular correlation function journal, September 2013

The effect of covariance estimator error on cosmological parameter constraints journal, September 2013

Dark Energy Survey Year 1 Results: The Photometric Data Set for Cosmology journal, April 2018

Baryonic Features in the Matter Transfer Function journal, April 1998

Detection of the Baryon Acoustic Peak in the Large‐Scale Correlation Function of SDSS Luminous Red Galaxies journal, November 2005

On the Robustness of the Acoustic Scale in the Low‐Redshift Clustering of Matter journal, August 2007

The Correlation Function of Optically Selected Galaxy Clusters in the Sloan Digital sky Survey journal, February 2009

emcee : The MCMC Hammer journal, March 2013

The MICE grand challenge lightcone simulation – I. Dark matter clustering journal, March 2015

Precision matrix expansion – efficient use of numerical simulations in estimating errors on cosmological parameters journal, October 2017

Clustering of luminous red galaxies - IV. Baryon acoustic peak in the line-of-sight direction and a direct measurement of H ( z ) journal, November 2009

Measuring Omega and the real correlation function from the redshift correlation function journal, January 1992

On measuring the covariance matrix of the non-linear power spectrum from simulations journal, September 2006

Non-Gaussian error bars in galaxy surveys - I journal, May 2012

Why your model parameter confidences might be too optimistic. Unbiased estimation of the inverse covariance matrix journal, December 2006

NINE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: COSMOLOGICAL PARAMETER RESULTS journal, September 2013

Small‐Scale Cosmological Perturbations: An Analytic Approach journal, November 1996

The physics of microwave background anisotropies journal, March 1997

Power spectrum of the maxBCG sample: detection of acoustic oscillations using galaxy clusters journal, February 2010

Clustering in real space and in redshift space journal, July 1987

The WiggleZ Dark Energy Survey: improved distance measurements to z = 1 with reconstruction of the baryonic acoustic feature journal, May 2014

Optical multicolors - A poor person's Z machine for galaxies journal, March 1985

Parameter estimation in X-ray astronomy journal, August 1976

Bias and variance of angular correlation functions journal, July 1993

Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models journal, August 2000

Cosmic growth history and expansion history journal, August 2005

Baryonic signatures in large-scale structure journal, April 1999

Perturbative approach to covariance matrix of the matter power spectrum journal, December 2016

Calibrating the baryon oscillation ruler for matter and halos journal, September 2009

The clustering of luminous red galaxies in the Sloan Digital Sky Survey imaging data journal, June 2007

Improving the precision matrix for precision cosmology journal, October 2015

Estimating the power spectrum covariance matrix with fewer mock samples journal, January 2016

Statistical analysis of catalogs of extragalactic objects. V - Three-point correlation function for the galaxy distribution in the Zwicky catalog journal, February 1975

Primeval Adiabatic Perturbation in an Expanding Universe journal, November 1970

Baryon acoustic oscillations in the Sloan Digital Sky Survey Data Release 7 galaxy sample journal, February 2010

The clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: including covariance matrix errors journal, February 2014

Shrinkage estimation of the power spectrum covariance matrix journal, September 2008

Measuring redshift-space distortions using photometric surveys: RSD with photometric data journal, May 2011

The clustering of the SDSS DR7 main Galaxy sample – I. A 4 per cent distance measure at z = 0.15 journal, March 2015

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: observational systematics and baryon acoustic oscillations in the correlation function journal, September 2016

Optimized clustering estimators for BAO measurements accounting for significant redshift uncertainty journal, August 2017

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: angular clustering tomography and its cosmological implications journal, March 2017

The Bispectrum: From Theory to Observations journal, December 2000

Parameter inference with estimated covariance matrices journal, December 2015

Improved Forecasts for the Baryon Acoustic Oscillations and Cosmological Distance Scale journal, August 2007

Acoustic Scale from the Angular Power Spectra of Sdss-Iii dr8 Photometric Luminous Galaxies journal, November 2012

Estimating cosmological parameter covariance journal, June 2014

Karhunen‐Loeve Eigenvalue Problems in Cosmology: How Should We Tackle Large Data Sets? journal, May 1997

Observational probes of cosmic acceleration journal, September 2013

Planck 2015 results : XXIII. The thermal Sunyaev-Zeldovich effect-cosmic infrared background correlation journal, September 2016

Dark Energy Survey year 1 results: galaxy sample for BAO measurement journal, September 2018

Dark Energy Survey year 1 results: galaxy sample for BAO measurement journal, September 2018

Dark Energy Survey Year 1 results: measurement of the baryon acoustic oscillation scale in the distribution of galaxies to redshift 1 journal, December 2018

Dark Energy Survey Year 1 results: measurement of the galaxy angular power spectrum journal, June 2019

Cosmological Constraints from Multiple Probes in the Dark Energy Survey journal, May 2019

Planck 2015 results : XIII. Cosmological parameters
journal, September 2016

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
journal, March 2017

The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: baryon acoustic oscillations in the Data Releases 10 and 11 Galaxy samples
journal, April 2014

The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 quasar sample: first measurement of baryon acoustic oscillations between redshift 0.8 and 2.2
journal, October 2017

HALOGEN: a tool for fast generation of mock halo catalogues
journal, April 2015

Dark Energy Survey Year-1 results: galaxy mock catalogues for BAO
journal, May 2018

Measurement of baryon acoustic oscillation correlations at z = 2.3 with SDSS DR12 Ly α -Forests
journal, June 2017

The 6dF Galaxy Survey: baryon acoustic oscillations and the local Hubble constant: 6dFGS: BAOs and the local Hubble constant
journal, July 2011

Non-linear matter power spectrum covariance matrix errors and cosmological parameter uncertainties
journal, March 2016

Cosmic background radiation anisotropies in universes dominated by nonbaryonic dark matter
journal, October 1984

The statistics of cosmic background radiation fluctuations
journal, June 1987

Clustering of photometric luminous red galaxies - II. Cosmological implications from the baryon acoustic scale: Implications from the baryon acoustic scale
journal, November 2011

Power spectrum and correlation function errors: Poisson vs. Gaussian shot noise
journal, January 2006

Fourier analysis of redshift-space distortions and the determination of
journal, April 1994

The 2dF Galaxy Redshift Survey: power-spectrum analysis of the final data set and cosmological implications
journal, September 2005

Nonlinear evolution of baryon acoustic oscillations
journal, January 2008

Modelling the angular correlation function and its full covariance in photometric galaxy surveys: Angular clustering in photometric surveys
journal, March 2011

Large-scale analysis of the SDSS-III DR8 photometric luminous galaxies angular correlation function
journal, September 2013

The effect of covariance estimator error on cosmological parameter constraints
journal, September 2013

Dark Energy Survey Year 1 Results: The Photometric Data Set for Cosmology
journal, April 2018

Baryonic Features in the Matter Transfer Function
journal, April 1998

Detection of the Baryon Acoustic Peak in the Large‐Scale Correlation Function of SDSS Luminous Red Galaxies
journal, November 2005

On the Robustness of the Acoustic Scale in the Low‐Redshift Clustering of Matter
journal, August 2007

The Correlation Function of Optically Selected Galaxy Clusters in the Sloan Digital sky Survey
journal, February 2009

`emcee` : The MCMC Hammer
journal, March 2013

The MICE grand challenge lightcone simulation – I. Dark matter clustering
journal, March 2015

Precision matrix expansion – efficient use of numerical simulations in estimating errors on cosmological parameters
journal, October 2017

Clustering of luminous red galaxies - IV. Baryon acoustic peak in the line-of-sight direction and a direct measurement of H ( z )
journal, November 2009

Measuring Omega and the real correlation function from the redshift correlation function
journal, January 1992

On measuring the covariance matrix of the non-linear power spectrum from simulations
journal, September 2006

Non-Gaussian error bars in galaxy surveys - I
journal, May 2012

Why your model parameter confidences might be too optimistic. Unbiased estimation of the inverse covariance matrix
journal, December 2006

NINE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: COSMOLOGICAL PARAMETER RESULTS
journal, September 2013

Small‐Scale Cosmological Perturbations: An Analytic Approach
journal, November 1996

The physics of microwave background anisotropies
journal, March 1997

Power spectrum of the maxBCG sample: detection of acoustic oscillations using galaxy clusters
journal, February 2010

Clustering in real space and in redshift space
journal, July 1987

The WiggleZ Dark Energy Survey: improved distance measurements to z = 1 with reconstruction of the baryonic acoustic feature
journal, May 2014

Optical multicolors - A poor person's Z machine for galaxies
journal, March 1985

Parameter estimation in X-ray astronomy
journal, August 1976

Bias and variance of angular correlation functions
journal, July 1993

Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann‐Robertson‐Walker Models
journal, August 2000

Cosmic growth history and expansion history
journal, August 2005

Baryonic signatures in large-scale structure
journal, April 1999

Perturbative approach to covariance matrix of the matter power spectrum
journal, December 2016

Calibrating the baryon oscillation ruler for matter and halos
journal, September 2009

The clustering of luminous red galaxies in the Sloan Digital Sky Survey imaging data
journal, June 2007

Improving the precision matrix for precision cosmology
journal, October 2015

Estimating the power spectrum covariance matrix with fewer mock samples
journal, January 2016

Statistical analysis of catalogs of extragalactic objects. V - Three-point correlation function for the galaxy distribution in the Zwicky catalog
journal, February 1975

Primeval Adiabatic Perturbation in an Expanding Universe
journal, November 1970

Baryon acoustic oscillations in the Sloan Digital Sky Survey Data Release 7 galaxy sample
journal, February 2010

The clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: including covariance matrix errors
journal, February 2014

Shrinkage estimation of the power spectrum covariance matrix
journal, September 2008

Measuring redshift-space distortions using photometric surveys: RSD with photometric data
journal, May 2011

The clustering of the SDSS DR7 main Galaxy sample – I. A 4 per cent distance measure at z = 0.15
journal, March 2015

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: observational systematics and baryon acoustic oscillations in the correlation function
journal, September 2016

Optimized clustering estimators for BAO measurements accounting for significant redshift uncertainty
journal, August 2017

The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: angular clustering tomography and its cosmological implications
journal, March 2017

The Bispectrum: From Theory to Observations
journal, December 2000

Parameter inference with estimated covariance matrices
journal, December 2015

Improved Forecasts for the Baryon Acoustic Oscillations and Cosmological Distance Scale
journal, August 2007

Acoustic Scale from the Angular Power Spectra of Sdss-Iii dr8 Photometric Luminous Galaxies
journal, November 2012

Estimating cosmological parameter covariance
journal, June 2014

Karhunen‐Loeve Eigenvalue Problems in Cosmology: How Should We Tackle Large Data Sets?
journal, May 1997

Observational probes of cosmic acceleration
journal, September 2013

Planck 2015 results : XXIII. The thermal Sunyaev-Zeldovich effect-cosmic infrared background correlation
journal, September 2016

Dark Energy Survey year 1 results: galaxy sample for BAO measurement
journal, September 2018

Dark Energy Survey year 1 results: galaxy sample for BAO measurement
journal, September 2018

Dark Energy Survey Year 1 results: measurement of the baryon acoustic oscillation scale in the distribution of galaxies to redshift 1
journal, December 2018

Dark Energy Survey Year 1 results: measurement of the galaxy angular power spectrum
journal, June 2019

Cosmological Constraints from Multiple Probes in the Dark Energy Survey
journal, May 2019