2020
DOI: 10.1103/physrevresearch.2.033004
|View full text |Cite
|
Sign up to set email alerts
|

General and consistent statistics for cosmological observations

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
39
0

Year Published

2020
2020
2023
2023

Publication Types

Select...
6
1
1

Relationship

4
4

Authors

Journals

citations
Cited by 33 publications
(39 citation statements)
references
References 67 publications
0
39
0
Order By: Relevance
“…It is possible to smoothly transition from the constraint at the observer to the expectation from ensemble average through the constrained random field formalism (Hoffman & Ribak 1991;van de Weygaert & Bertschinger 1996;Mitsou et al 2020). Take again the example of the gravitational potential φ near the observation event, which is subject to the constraint φ(0) = φ 0 .…”
Section: Constrained Gaussian Random Field and Ensemble Averagingmentioning
confidence: 99%
“…It is possible to smoothly transition from the constraint at the observer to the expectation from ensemble average through the constrained random field formalism (Hoffman & Ribak 1991;van de Weygaert & Bertschinger 1996;Mitsou et al 2020). Take again the example of the gravitational potential φ near the observation event, which is subject to the constraint φ(0) = φ 0 .…”
Section: Constrained Gaussian Random Field and Ensemble Averagingmentioning
confidence: 99%
“…This mis-match, due to small-scale correlations, may lead to spurious discrepancies between ensemble averages and numerical averages at low redshift. It is possible to smoothly transition from the constraint at the observer to the expectation from ensemble average through the constrained random field formalism (Hoffman & Ribak 1991;van de Weygaert & Bertschinger 1996;Mitsou et al 2020). Take again the example of the gravitational potential φ near the observation event, which is subject to the constraint φ(0) = φ 0 .…”
Section: Constrained Gaussian Random Field and Ensemble Averagingmentioning
confidence: 99%
“…While the ensemble average of the monopole is zero, it is shown in Ref. [11] that the angle average is not quite the ensemble average, as it is obtained only at our own position. This implies that if we were to perform the angle average of the CMB temperature at the Andromeda galaxy, we would obtain a value of hTi obs different from the COBE FIRAS result, due to the fluctuation of the monopole from place to place.…”
Section: The Cosmological Parametertmentioning
confidence: 59%
“…In this paper, we show that this practice is formally incorrect, because it neglects the uncertainty related to cosmic variance [11]: i.e., the fact that we can only observe a single light cone. Instead,T should in principle be considered as an extra free cosmological parameter to be varied in the Bayesian analysis.…”
Section: Introductionmentioning
confidence: 99%