# Cosmological discordances: A new measure, marginalization effects, and application to geometry versus growth current data sets

@article{Lin2017CosmologicalDA, title={Cosmological discordances: A new measure, marginalization effects, and application to geometry versus growth current data sets}, author={Weikang Lin and Mustapha Ishak}, journal={Physical Review D}, year={2017}, volume={96}, pages={023532} }

The continuous progress toward more precise cosmological surveys and experiments has galvanized recent interest into consistency tests on cosmological parameters and models. At the heart of this effort is quantifying the degree of inconsistency between two or more cosmological data sets. We introduce an intuitive moment-based measure we call the \textit{index of inconsistency} (IOI) and show that it is sensitive to the separation of the means, the size of the constraint ellipsoids, and their…

## Figures and Tables from this paper

## 46 Citations

### Cosmological discordances. III. More on measure properties, large-scale-structure constraints, the Hubble constant and Planck data

- PhysicsPhysical Review D
- 2019

Consistency between cosmological data sets is essential for ongoing and future cosmological analyses. We first investigate the questions of stability and applicability of some moment-based…

### Cosmological discordances II: Hubble constant, Planck and large-scale-structure data sets

- Physics
- 2017

We examine systematically the (in)consistency between cosmological constraints as obtained from various current data sets of the expansion history, Large Scale Structure (LSS), and Cosmic Microwave…

### Integrated cosmological probes: concordance quantified

- Physics
- 2017

Assessing the consistency of parameter constraints derived from different cosmological probes is an important way to test the validity of the underlying cosmological model. In an earlier work [1], we…

### Concordance and discordance in cosmology

- BiologyPhysical Review D
- 2019

A full set of estimators of internal and mutual agreement and disagreement, whose strengths complement each other are developed, which allow to take into account the effect of prior information and compute the statistical significance of both tensions and confirmatory biases.

### Consistency tests in cosmology using relative entropy

- Computer ScienceJournal of Cosmology and Astroparticle Physics
- 2019

A novel model rejection framework is introduced, which is based on the relative entropy and the posterior predictive distribution, and applied to Type Ia supernovae data from the JLA and CMB constraints from Planck 2015, testing the consistency of the data with six different cosmological models.

### Testing the consistency between cosmological data: the impact of spatial curvature and the dark energy EoS

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2021

The results of joint analyses of available cosmological data have motivated an important debate about a possible detection of a non-zero spatial curvature. If confirmed, such a result would imply a…

### Remarks on measures of inconsistency

- Computer Science
- 2019

This work discusses, with illustrative examples, some requirements that should be fulfilled in Gaussian cases by inconsistency measures and suggests a guiding definition of (in)consistency, and examines the common practice to convert some measures to a probability to exceed or a significance level that depends on the number of parameters.

### A new measure of tension between experiments

- PhysicsJournal of Cosmology and Astroparticle Physics
- 2019

Tensions between cosmological measurements by different surveys or probes have always been important —and are presently much discussed —as they may lead to evidence of new physics. Several tests have…

### A Bayesian interpretation of inconsistency measures in cosmology

- Computer ScienceJournal of Cosmology and Astroparticle Physics
- 2021

A Bayesian interpretation of inconsistency measures that can extract information about physical inconsistencies in the presence of data scatter is proposed based on the conditional probability distribution of the level of physical inconsistency given the obtained value of the measure.

### Cosmological Constraints from Low-Redshift Data

- PhysicsFoundations of Physics
- 2018

In this paper we summarise the constraints that low-redshift data—such as supernovae Ia (SN Ia), baryon acoustic oscillations (BAO) and cosmic chronometers (CC)—are able to set on the concordance…

## References

SHOWING 1-10 OF 84 REFERENCES

### Planck data versus large scale structure: Methods to quantify discordance

- Physics
- 2017

Discordance in the $\mathrm{\ensuremath{\Lambda}}$ cold dark matter cosmological model can be seen by comparing parameters constrained by cosmic microwave background (CMB) measurements to those…

### Quantifying concordance in cosmology

- Physics
- 2016

Quantifying the concordance between different cosmological experiments is important for testing the validity of theoretical models and systematics in the observations. In earlier work, we thus…

### Information gains from cosmological probes

- Physics
- 2015

In light of the growing number of cosmological observations, it is important to develop versatile tools to quantify the constraining power and consistency of cosmological probes. Originally motivated…

### Parameter splitting in dark energy: is dark energy the same in the background and in the cosmic structures?

- Physics
- 2015

We perform an empirical consistency test of General Relativity/dark energy by disentangling expansion history and growth of structure constraints. We replace each late-universe parameter that…

### Is modified gravity required by observations? An empirical consistency test of dark energy models

- Physics
- 2007

We apply the technique of parameter splitting to existing cosmological data sets, to check for a generic failure of dark energy models. Given a dark energy parameter, such as the energy density…

### Quantifying tensions between CMB and distance data sets in models with free curvature or lensing amplitude

- Physics
- 2016

Recent measurements of the cosmic microwave background (CMB) by the Planck Collaboration have produced arguably the most powerful observational evidence in support of the standard model of cosmology,…

### The trouble with H0

- Physics
- 2016

We perform a comprehensive cosmological study of the H0 tension between the direct local measurement and the model-dependent value inferred from the Cosmic Microwave Background. With the recent…

### Testing the dark energy consistency with geometry and growth

- Physics
- 2015

We perform parametric tests of the consistency of the standard $w$CDM model in the framework of general relativity by carefully separating information between the geometry and growth of structure. We…