Fisher forecasts show the weak lensing bispectrum reduces errors on CPL w0 and IDE coupling parameters but leaves f(R) scalaron constraints essentially unchanged after full marginalization over nuisance parameters.
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Statistical techniques in cosmology
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abstract
In these lectures I cover a number of topics in cosmological data analysis. I concentrate on general techniques which are common in cosmology, or techniques which have been developed in a cosmological context. In fact they have very general applicability, for problems in which the data are interpreted in the context of a theoretical model, and thus lend themselves to a Bayesian treatment. We consider the general problem of estimating parameters from data, and consider how one can use Fisher matrices to analyse survey designs before any data are taken, to see whether the survey will actually do what is required. We outline numerical methods for estimating parameters from data, including Monte Carlo Markov Chains and the Hamiltonian Monte Carlo method. We also look at Model Selection, which covers various scenarios such as whether an extra parameter is preferred by the data, or answering wider questions such as which theoretical framework is favoured, using General Relativity and braneworld gravity as an example. These notes are not a literature review, so there are relatively few references.
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Re-expressing the Hubble tension via posterior-implied E(z) histories yields moderate mismatches (S_hist of 1.65 and 2.55) that correspond to only 1.1-2.1 sigma equivalents, below the usual 4.9 sigma scalar-H0 discrepancy.
A single f(Q, L_m) gravity model with HRDE produces Starobinsky-like inflation at high curvature and late-time acceleration, with RGUP corrections keeping n_s and r consistent with Planck while shifting the running of the spectral index.
Fisher forecasts indicate that Lyα-21cm cross-spectra with PUMA and CMB data can improve constraints on neutrino self-interaction strength G_eff by 1-2 orders of magnitude over CMB alone.
Forecasts show DESI-like and SKA1-Mid observations could constrain primordial magnetic field amplitude and spectral index to roughly 10% precision via 21cm auto-spectrum and Lyα-21cm cross-spectrum.
citing papers explorer
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Exploring Beyond {\Lambda}CDM with the Weak Lensing Power Spectrum and Bispectrum
Fisher forecasts show the weak lensing bispectrum reduces errors on CPL w0 and IDE coupling parameters but leaves f(R) scalaron constraints essentially unchanged after full marginalization over nuisance parameters.
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From Scalar $H_0$ to $E(z)$: A Reformulation of the Hubble Tension
Re-expressing the Hubble tension via posterior-implied E(z) histories yields moderate mismatches (S_hist of 1.65 and 2.55) that correspond to only 1.1-2.1 sigma equivalents, below the usual 4.9 sigma scalar-H0 discrepancy.
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Cosmology of f(Q,L_m) gravity with Holographic Ricci Dark Energy: Early-Time Inflation and Late-Time Acceleration and RGUP Corrected Observables
A single f(Q, L_m) gravity model with HRDE produces Starobinsky-like inflation at high curvature and late-time acceleration, with RGUP corrections keeping n_s and r consistent with Planck while shifting the running of the spectral index.
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Neutrino self-interactions in post-reionization era: Lyman-$\alpha$, 21-cm and cross-spectra
Fisher forecasts indicate that Lyα-21cm cross-spectra with PUMA and CMB data can improve constraints on neutrino self-interaction strength G_eff by 1-2 orders of magnitude over CMB alone.
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Primordial magnetic fields in the light of upcoming post-EoR Lyman-$\alpha$ and 21-cm observations
Forecasts show DESI-like and SKA1-Mid observations could constrain primordial magnetic field amplitude and spectral index to roughly 10% precision via 21cm auto-spectrum and Lyα-21cm cross-spectrum.