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Title: Steve: A Hierarchical Bayesian Model for Supernova Cosmology

Journal Article · · The Astrophysical Journal (Online)
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We present a new Bayesian hierarchical model (BHM) named Steve for performing type Ia supernova (SNIa) cosmology fits. This advances previous works by including an improved treatment of Malmquist bias, accounting for additional sources of systematic uncertainty, and increasing numerical efficiency. Given light curve fit parameters, redshifts, and host-galaxy masses, we fit Steve simultaneously for parameters describing cosmology, SNIa populations, and systematic uncertainties. Selection effects are characterised using Monte-Carlo simulations. We demonstrate its implementation by fitting realisations of SNIa datasets where the SNIa model closely follows that used in Steve. Next, we validate on more realistic SNANA simulations of SNIa samples from the Dark Energy Survey and low-redshift surveys. These simulated datasets contain more than 60000 SNeIa, which we use to evaluate biases in the recovery of cosmological parameters, specifically the equation-of-state of dark energy, w. This is the most rigorous test of a BHM method applied to SNIa cosmology fitting, and reveals small w-biases that depend on the simulated SNIa properties, in particular the intrinsic SNIa scatter model. This w-bias is less than 0.03 on average, less than half the statistical uncertainty on w.These simulation test results are a concern for BHM cosmology fitting applications on large upcoming surveys, and therefore future development will focus on minimising the sensitivity of Steve to the SNIa intrinsic scatter model.

Research Organization:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Univ. of Michigan, Ann Arbor, MI (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Contributing Organization:
DES Collaboration; DES
Grant/Contract Number:
AC02-76SF00515; SC0019193; AC02-07CH11359; AC05-00OR22725; AC02-05CH11231
OSTI ID:
1526927
Alternate ID(s):
OSTI ID: 1529360; OSTI ID: 1531222; OSTI ID: 1582334; OSTI ID: 1725992
Report Number(s):
arXiv:1811.02381; FERMILAB-PUB-19-050-A-AD-AE-CD
Journal Information:
The Astrophysical Journal (Online), Vol. 876, Issue 1; ISSN 1538-4357
Publisher:
Institute of Physics (IOP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 12 works
Citation information provided by
Web of Science

References (92)

THE CARNEGIE SUPERNOVA PROJECT: FIRST PHOTOMETRY DATA RELEASE OF LOW-REDSHIFT TYPE Ia SUPERNOVAE journal January 2010
THE CARNEGIE SUPERNOVA PROJECT: FIRST NEAR-INFRARED HUBBLE DIAGRAM TO z ∼ 0.7 journal September 2009
THE HUBBLE SPACE TELESCOPE CLUSTER SUPERNOVA SURVEY. V. IMPROVING THE DARK-ENERGY CONSTRAINTS ABOVE z > 1 AND BUILDING AN EARLY-TYPE-HOSTED SUPERNOVA SAMPLE journal January 2012
Dark energy two decades after: observables, probes, consistency tests journal December 2017
Comparison of cosmological parameter inference methods applied to supernovae light curves fitted with salt-ii journal December 2013
HUBBLE RESIDUALS OF NEARBY TYPE Ia SUPERNOVAE ARE CORRELATED WITH HOST GALAXY MASSES journal May 2010
Improved constraints on cosmological parameters from Type Ia supernova data: Improved constraints from SNIa journal November 2011
The Influence of Host Galaxies in Type Ia Supernova Cosmology journal October 2017
First cosmology results using Type Ia supernova from the Dark Energy Survey: simulations to correct supernova distance biases journal February 2019
The absolute magnitudes of Type IA supernovae journal August 1993
IMPROVED CONSTRAINTS ON TYPE Ia SUPERNOVA HOST GALAXY PROPERTIES USING MULTI-WAVELENGTH PHOTOMETRY AND THEIR CORRELATIONS WITH SUPERNOVA PROPERTIES journal October 2011
SPECTRA AND HUBBLE SPACE TELESCOPE LIGHT CURVES OF SIX TYPE Ia SUPERNOVAE AT 0.511 < z < 1.12 AND THE UNION2 COMPILATION journal May 2010
Measuring type ia Supernova Populations of Stretch and Color and Predicting Distance Biases journal May 2016
First-Year Sloan Digital sky Survey-Ii Supernova Results: Hubble Diagram and Cosmological Parameters journal October 2009
zBEAMS: a unified solution for supernova cosmology with redshift uncertainties journal October 2017
THE CARNEGIE SUPERNOVA PROJECT: ANALYSIS OF THE FIRST SAMPLE OF LOW-REDSHIFT TYPE-Ia SUPERNOVAE journal December 2009
BAHAMAS: NEW ANALYSIS OF TYPE Ia SUPERNOVAE REVEALS INCONSISTENCIES WITH STANDARD COSMOLOGY journal August 2016
SNANA: A Public Software Package for Supernova Analysis
  • Kessler, Richard; Bernstein, Joseph P.; Cinabro, David
  • Publications of the Astronomical Society of the Pacific, Vol. 121, Issue 883 https://doi.org/10.1086/605984
journal September 2009
Improved Cosmological Constraints from New, Old, and Combined Supernova Data Sets journal October 2008
The Sloan Digital sky Survey-Ii Supernova Survey: Technical Summary journal December 2007
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant journal September 1998
Supernova Constraints and Systematic Uncertainties from the First Three Years of the Supernova Legacy Survey journal December 2010
Photometric Supernova Cosmology with Beams and Sdss-Ii journal May 2012
TYPE Ia SUPERNOVA LIGHT-CURVE INFERENCE: HIERARCHICAL BAYESIAN ANALYSIS IN THE NEAR-INFRARED journal September 2009
EVOLUTION IN THE VOLUMETRIC TYPE Ia SUPERNOVA RATE FROM THE SUPERNOVA LEGACY SURVEY journal July 2012
The Dark Energy Survey: more than dark energy – an overview journal March 2016
TYPE Ia SUPERNOVA LIGHT CURVE INFERENCE: HIERARCHICAL MODELS IN THE OPTICAL AND NEAR-INFRARED journal April 2011
TYPE Ia SUPERNOVA RATE MEASUREMENTS TO REDSHIFT 2.5 FROM CANDELS: SEARCHING FOR PROMPT EXPLOSIONS IN THE EARLY UNIVERSE journal June 2014
The Supernova Legacy Survey: measurement of $\Omega_{\mathsf{M}}$, $\Omega_\mathsf{\Lambda}$ and w from the first year data set journal January 2006
Evidence of environmental dependencies of Type Ia supernovae from the Nearby Supernova Factory indicated by local H α journal December 2013
The reddening law of type Ia supernovae: separating intrinsic variability from dust using equivalent widths journal April 2011
IMPROVED DARK ENERGY CONSTRAINTS FROM ∼100 NEW CfA SUPERNOVA TYPE Ia LIGHT CURVES journal July 2009
The Reddening-Free Decline Rate Versus Luminosity Relationship for Type [CLC]Ia[/CLC] Supernovae journal October 1999
Cosmological parameters from CMB and other data: A Monte Carlo approach journal November 2002
The Supernova Legacy Survey 3-year sample: Type Ia supernovae photometric distances and cosmological constraints journal November 2010
The ESO/VLT 3rd year Type Ia supernova data set from the supernova legacy survey journal August 2009
First Cosmology Results Using SNe Ia from the Dark Energy Survey: Analysis, Systematic Uncertainties, and Validation journal April 2019
CfA4: LIGHT CURVES FOR 94 TYPE Ia SUPERNOVAE journal May 2012
Application of Bayesian graphs to SN Ia data analysis and compression journal August 2016
Observational Constraints on the Nature of Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey journal September 2007
SN Ia host galaxy properties from Sloan Digital Sky Survey-II spectroscopy journal September 2013
THE EFFECT OF HOST GALAXIES ON TYPE Ia SUPERNOVAE IN THE SDSS-II SUPERNOVA SURVEY journal September 2010
LSST: From Science Drivers to Reference Design and Anticipated Data Products journal March 2019
The dependence of Type Ia Supernovae luminosities on their host galaxies: SN Ia host galaxies journal May 2010
LIKELIHOOD-FREE COSMOLOGICAL INFERENCE WITH TYPE Ia SUPERNOVAE: APPROXIMATE BAYESIAN COMPUTATION FOR A COMPLETE TREATMENT OF UNCERTAINTY journal January 2013
ChainConsumer journal August 2016
Unity: Confronting Supernova Cosmology’S Statistical and Systematic Uncertainties in a Unified Bayesian Framework journal November 2015
Bayesian estimation applied to multiple species journal May 2007
Stan : A Probabilistic Programming Language journal January 2017
Host Galaxy Identification for Supernova Surveys journal November 2016
SALT2: using distant supernovae to improve the use of type Ia supernovae as distance indicators journal February 2007
CfA3: 185 TYPE Ia SUPERNOVA LIGHT CURVES FROM THE CfA journal July 2009
Supernova Simulations and Strategies for the dark Energy Survey journal June 2012
A Measurement of the Rate of Type Ia Supernovae at Redshift z ≈ 0.1 from the First Season of the SDSS‐II Supernova Survey journal July 2008
COSMOLOGICAL CONSTRAINTS FROM MEASUREMENTS OF TYPE Ia SUPERNOVAE DISCOVERED DURING THE FIRST 1.5 yr OF THE Pan-STARRS1 SURVEY journal October 2014
THE CARNEGIE SUPERNOVA PROJECT: SECOND PHOTOMETRY DATA RELEASE OF LOW-REDSHIFT TYPE Ia SUPERNOVAE journal October 2011
The Complete Light-curve Sample of Spectroscopically Confirmed SNe Ia from Pan-STARRS1 and Cosmological Constraints from the Combined Pantheon Sample journal May 2018
First Cosmology Results using Type Ia Supernovae from the Dark Energy Survey: Constraints on Cosmological Parameters journal February 2019
Measurements of Ω and Λ from 42 High‐Redshift Supernovae journal June 1999
Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples journal August 2014
Correcting Type Ia Supernova Distances for Selection Biases and Contamination in Photometrically Identified Samples journal February 2017
Real-Time Analysis and Selection Biases in the Supernova Legacy Survey journal July 2010
The Type Ia Supernova Color–Magnitude Relation and Host Galaxy Dust: A Simple Hierarchical Bayesian Model journal June 2017
The Data Release of the Sloan Digital Sky Survey-II Supernova Survey journal May 2018
CfA3: 185 TYPE Ia SUPERNOVA LIGHT CURVES FROM THE CfA text January 2009
The Type Ia Supernova Color-Magnitude Relation and Host Galaxy Dust: A Simple Hierarchical Bayesian Model text January 2017
The Sloan Digital Sky Survey-II Supernova Survey: Technical Summary text January 2007
A Measurement of the Rate of type-Ia Supernovae at Redshift $z\approx$ 0.1 from the First Season of the SDSS-II Supernova Survey text January 2008
Improved Cosmological Constraints from New, Old and Combined Supernova Datasets text January 2008
LSST: from Science Drivers to Reference Design and Anticipated Data Products text January 2008
The Carnegie Supernova Project: First Near-Infrared Hubble Diagram to z~0.7 text January 2009
Type Ia Supernova Light Curve Inference: Hierarchical Bayesian Analysis in the Near Infrared text January 2009
The Carnegie Supernova Project: Analysis of the First Sample of Low-Redshift Type-Ia Supernovae text January 2009
The Carnegie Supernova Project: First Photometry Data Release of Low-Redshift Type Ia Supernovae text January 2009
Hubble Residuals of Nearby Type Ia Supernovae Are Correlated with Host Galaxy Masses text January 2009
Real-time Analysis and Selection Biases in the Supernova Legacy Survey text January 2010
Improved Constraints on Type Ia Supernova Host Galaxy Properties using Multi-Wavelength Photometry and their Correlations with Supernova Properties text January 2011
The Carnegie Supernova Project: Second Photometry Data Release of Low-Redshift Type Ia Supernovae text January 2011
Spectroscopic Properties of Star-Forming Host Galaxies and Type Ia Supernova Hubble Residuals in a Nearly Unbiased Sample text January 2011
Supernova Simulations and Strategies For the Dark Energy Survey text January 2011
Photometric Supernova Cosmology with BEAMS and SDSS-II text January 2011
CfA4: Light Curves for 94 Type Ia Supernovae text January 2012
Evolution in the Volumetric Type Ia Supernova Rate from the Supernova Legacy Survey text January 2012
Type-Ia Supernova Rates to Redshift 2.4 from CLASH: the Cluster Lensing And Supernova survey with Hubble text January 2013
The Data Release of the Sloan Digital Sky Survey-II Supernova Survey text January 2014
UNITY: Confronting Supernova Cosmology's Statistical and Systematic Uncertainties in a Unified Bayesian Framework text January 2015
The Dark Energy Survey: more than dark energy - an overview text January 2016
Application of Bayesian graphs to SN Ia data analysis and compression text January 2016
Dark energy two decades after: Observables, probes, consistency tests text January 2017
Cosmological parameters from CMB and other data: a Monte-Carlo approach text January 2002
Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey text January 2007
The supernova cosmology cookbook: Bayesian numerical recipes preprint January 2015

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