Predicting extragalactic distance errors using Bayesian inference in multi-measurement catalogs
arXiv:1805.02578 · doi:10.1093/mnras/stz615
Abstract
We propose the use of robust, Bayesian methods for estimating extragalactic distance errors in multi-measurement catalogs. We seek to improve upon the more commonly used frequentist propagation-of-error methods, as they fail to explain both the scatter between different measurements and the effects of skewness in the metric distance probability distribution. For individual galaxies, the most transparent way to assess the variance of redshift independent distances is to directly sample the posterior probability distribution obtained from the mixture of reported measurements. However, sampling the posterior can be cumbersome for catalog-wide precision cosmology applications. We compare the performance of frequentist methods versus our proposed measures for estimating the true variance of the metric distance probability distribution. We provide pre-computed distance error data tables for galaxies in 3 catalogs: NED-D, HyperLEDA, and Cosmicflows-3. Additionally, we develop a Bayesian model that considers systematic and random effects in the estimation of errors for Tully-Fisher relation (TF) derived distances in NED-D. We validate this model with a Bayesian -value computed using the Freeman-Tukey discrepancy measure as a posterior predictive check. We are then able to predict distance errors for 884 galaxies in the NED-D catalog and 203 galaxies in the HyperLEDA catalog which do not report TF distance modulus errors. Our goal is that our estimated and predicted errors are used in catalog-wide applications that require acknowledging the true variance of extragalactic distance measurements.
arXiv comment18 pages, 17 figures, accepted to MNRAS, pre-computed error tables and code available at https://github.com/saint-germain/errorprediction
References in corpus (29)
- emcee: The MCMC Hammer
- Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant
- A 2.4% Determination of the Local Value of the Hubble Constant
- Some Aspects of Measurement Error in Linear Regression of Astronomical Data
- 2MASS Extended Source Catalog: Overview and Algorithms
- HyperLEDA. III. The catalogue of extragalactic distances
- Cosmicflows-3
- The Hubble Constant
- Toward a New Geometric Distance to the Active Galaxy NGC 4258. III. Final Results and the Hubble Constant
- Distances to Galaxies from the Correlation Between Luminosities and Linewidths. III. Cluster Template and Global Measurements of H0
- Galaxy Groups within 3500 km s
- The 6dF Galaxy Survey: Peculiar Velocity Field and Cosmography
- Measuring the Hubble constant with Type Ia supernovae as near-infrared standard candles
- Spatial distribution of ultra-diffuse galaxies within large-scale structures
- A List of Galaxies for Gravitational Wave Searches
- 3D Velocity and Density Reconstructions of the Local Universe with Cosmicflows-1
- UNITY: Confronting Supernova Cosmology's Statistical and Systematic Uncertainties in a Unified Bayesian Framework
- Anisotropy in the Hubble constant as observed in the HST Extragalactic Distance Scale Key Project results
- Calibration of the Mid-Infrared Tully-Fisher Relation
- Simulations of the Local Universe Constrained by Observational Peculiar Velocities
- Redshift-Independent Distances in the NASA/IPAC Extragalactic Database: Methodology, Content and Use of NED-D
- An Unbiased Estimator of Peculiar Velocity with Gaussian Distributed Errors for Precision Cosmology
- Anisotropy in the all-sky distribution of galaxy morphological types
- Redshift-Independent Distances to Type Ia Supernovae
- Bayesian correction of data uncertainties
- On the kinematics of the Local cosmic void
- NIR Tully-Fisher in the Zone of Avoidance. - II. 21 cm HI-line spectra of southern ZOA galaxies
- Precise Tully-Fisher Relations without Galaxy Inclinations
- Independent constraints on local non-Gaussianity from the peculiar velocity and density fields