# 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…

## 48 Citations

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

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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

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### Concordance and discordance in cosmology

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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

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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

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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
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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
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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…

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- Computer ScienceJournal of Cosmology and Astroparticle Physics
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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

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- 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…

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