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Cosmological parameter estimation from forthcoming experiments promise to reach much greater precision than current constraints. As statistical errors shrink, the required control over systematic errors increases. Therefore, models or…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-07 José Luis Bernal , Nicola Bellomo , Alvise Raccanelli , Licia Verde

Percent-level measurements of the comoving baryon acoustic scale standard ruler can be used to break degeneracies in parameter constraints from the CMB alone. The sound horizon at the epoch of baryon drag is often used as a proxy for the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Kiattisak Thepsuriya , Antony Lewis

We present a joint cosmological analysis combining data from the Planck satellite, the Atacama Cosmology Telescope, and the South Pole Telescope. We construct a unified likelihood that reproduces the measured temperature and polarisation…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-24 M. Tristram , M. Douspis , A. Gorce , S. Henrot-Versillé , L. T. Hergt , S. Ilic , L. McBride , M. Muñoz-Echeverría , E. Pointecouteau , L. Salvati

High precision measurements of the Cosmic Microwave Background (CMB) anisotropies, as can be expected from the Planck satellite, will require high-accuracy theoretical predictions as well. One possible source of theoretical uncertainty is…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-13 Jan Hamann , Amedeo Balbi , Julien Lesgourgues , Claudia Quercellini

This is a new review article for The Review of Particle Physics 2004 (aka the Particle Data Book). It forms a compact review of knowledge of the cosmological parameters as at the end of 2003. Topics included are Parametrizing the Universe;…

Astrophysics · Physics 2007-05-23 Ofer Lahav , Andrew R Liddle

Over the next decade, improvements in cosmological parameter constraints will be driven by surveys of large-scale structure. Its inherent non-linearity suggests that significant information will be embedded in higher correlations beyond the…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-19 Joyce Byun , Alexander Eggemeier , Donough Regan , David Seery , Robert E. Smith

The general idea of determining cosmological parameters with gravitational lensing statistics is outlined, and then recent work---with an emphasis on applicability to all cosmological models, observational bias, better statistics and…

Astrophysics · Physics 2011-04-15 Phillip Helbig

Rapid progress has been made in observations of the temperature anisotropies of the Cosmic Microwave Background (CMB). These observations have enabled cosmologists to characterize the state of the universe at recombination, and…

Astrophysics · Physics 2009-11-07 Tanmay Vachaspati , Arthur Lue

Likelihood fitting to two-point clustering statistics made from galaxy surveys usually assumes a multivariate normal distribution for the measurements, with justification based on the central limit theorem given the large number of…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-23 Mike Shengbo Wang , Will J. Percival , Santiago Avila , Robert Crittenden , Davide Bianchi

Parametric Markov chains (pMCs) are Markov chains (MCs) with symbolic probabilities. A pMC encodes a family of MCs, where each member is obtained by replacing parameters with constants. The parameters allow encoding dependencies between…

Logic in Computer Science · Computer Science 2025-08-05 Linus Heck , Tim Quatmann , Jip Spel , Joost-Pieter Katoen , Sebastian Junges

The cosmic microwave background (CMB) has been a treasure trove for cosmology. Over the next decade, current and planned CMB experiments are expected to exhaust nearly all primary CMB information. To further constrain cosmological models,…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 Benjamin Beringue , P. Daniel Meerburg , Joel Meyers , Nicholas Battaglia

The power spectrum of fluctuations in the cosmic microwave background (CMB) depends on most of the key cosmological parameters. Accurate future measurements of this power spectrum might therefore allow us to determine h, Omega, Omega_b,…

Astrophysics · Physics 2007-05-23 Max Tegmark

We use the redshift Hubble parameter $H(z)$ data derived from relative galaxy ages, distant type Ia supernovae (SNe Ia), the Baryonic Acoustic Oscillation (BAO) peak, and the Cosmic Microwave Background (CMB) shift parameter data, to…

Cosmology and Nongalactic Astrophysics · Physics 2011-01-27 Tian Lan , Yan Gong , Hao-Yi Wan , Tong-Jie Zhang

This paper develops a polynomial normal transformation model, whereby various non-normal probability distributions can be simulated by the standard normal distribution. Two methods are presented to determine the coefficients of polynomial…

Methodology · Statistics 2015-08-27 Qing Xiao

I calculate a hybrid cross-power spectrum estimator from the WMAP 5-year CMB temperature maps, discuss the goodness of fit, and then constrain cosmological parameters. The spectrum and results are generally consistent with previous results,…

Astrophysics · Physics 2017-08-07 Antony Lewis

With the increased accuracy and angular scale coverage of the recent CMB experiments it has become important to include calibration and beam uncertainties when estimating cosmological parameters. This requires an integration over possible…

Astrophysics · Physics 2009-11-07 S. L. Bridle , R. Crittenden , A. Melchiorri , M. P. Hobson , R. Kneissl , A. N. Lasenby

The claim by Gurzadyan et al. that the cosmological sky is a weakly random one where "the random perturbation is a minor component of mostly regular signal" has given rise to a series of useful exchanges. The possibility that the Cosmic…

General Physics · Physics 2011-10-31 Luis Gonzalez-Mestres

This paper considers maximum likelihood (ML) estimation in a large class of models with hidden Markov regimes. We investigate consistency of the ML estimator and local asymptotic normality for the models under general conditions which allow…

Statistics Theory · Mathematics 2021-12-07 Demian Pouzo , Zacharias Psaradakis , Martin Sola

Future high-sensitivity measurements of the cosmic microwave background (CMB) anisotropies and energy spectrum will be limited by our understanding and modeling of foregrounds. Not only does more information need to be gathered and…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-20 Jens Chluba , J. Colin Hill , Maximilian H. Abitbol

The CMB is already one of the pillars of the Big Bang model. However it may also become our most powerful tool to distinguish contending models and to determine their cosmological parameters. To realize this goal, more than 20 observational…

Astrophysics · Physics 2007-05-23 Charles H. Lineweaver
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