Parameter information from nonlinear cosmological fields
arXiv:astro-ph/0010014 · doi:10.1046/j.1365-8711.2001.04874.x
Abstract
We develop a general formalism for analysing parameter information from non-Gaussian cosmic fields. The method can be adapted to include the nonlinear effects in galaxy redshift surveys, weak lensing surveys and cosmic velocity field surveys as part of parameter estimation. It can also be used as a test of non-Gaussianity of the Cosmic Microwave Background. Generalising Maximum Likelihood analysis to second-order, we calculate the nonlinear Fisher Information matrix and likelihood surfaces in parameter space. To this order we find that the information content is always increased by including nonlinearity. Our methods are applied to a realistic model of a galaxy redshift survey, including nonlinear evolution, galaxy bias, shot-noise and redshift-space distortions to second-order. We find that including nonlinearities allows all of the degeneracies between parameters to be lifted. Marginalised parameter uncertainties of a few percent will then be obtainable using forthcoming galaxy redshift surveys.
14 pages, 7 figures. Submitted to MNRAS
References in corpus (5)
- How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering
- Linear Redshift Distortions and Power in the PSCz Survey
- Gravitational Evolution of the Large-Scale Probability Density Distribution: The Edgeworth & Gamma Expansions
- Evolution of the cosmological density distribution function
- Evolution of the probability distribution function of galaxies in redshift-space
Cited by in corpus (29)
- Probing Dark Energy with Baryonic Acoustic Oscillations from Future Large Galaxy Redshift Surveys
- Limits on non-Gaussianities from WMAP data
- Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
- Origins of weak lensing systematics, and requirements on future instrumentation (or knowledge of instrumentation)
- Primordial non-Gaussianity and Bispectrum Measurements in the Cosmic Microwave Background and Large-Scale Structure
- Optimal Estimation of Non-Gaussianity
- The Clustering Properties of Lyman-Break Galaxies at Redshift z~3
- Cosmological Forecasts for Combined and Next Generation Peculiar Velocity Surveys
- Results from the Wilkinson Microwave Anisotropy Probe
- Combining power spectrum and bispectrum measurements to detect oscillatory features
- Analytic Methods for Cosmological Likelihoods
- Prospects for galaxy-mass relations from the 6dF Galaxy Survey
- Optimal non-linear transformations for large scale structure statistics
- An Estimator for statistical anisotropy from the CMB bispectrum
- Using inpainting to construct accurate cut-sky CMB estimators
- Simulations and cosmological inference: A statistical model for power spectra means and covariances
- Using peculiar velocity surveys to constrain the growth rate of structure with the wide-angle effect
- CMB B-mode non-Gaussianity: optimal bispectrum estimator and Fisher forecasts
- Nonlinear Redshift-Space Distortions in the Harmonic-space Galaxy Power Spectrum
- Optimal bispectrum estimator and simulations of the the CMB Lensing-ISW non-Gaussian signal
- Path Integral Marginalization for Cosmology: Scale Dependent Galaxy Bias & Intrinsic Alignments
- Optimally Mapping Large-Scale Structures with Luminous Sources
- Designing Weak Lensing Surveys: A Generalised Eigenmode Analysis
- Fast estimation of aperture-mass statistics I: aperture mass variance and an application to the CFHTLenS data
- Probe combination in large galaxy surveys : Application of Fisher information and Shannon entropy to weak lensing
- The dependence of cosmological parameters estimated from the microwave background on non-gaussianity
- Primordial non-Gaussianity estimator: the inhomogeneous noise effect
- Quijote PNG: The information content of the halo power spectrum and bispectrum
- Non-Gaussian likelihood of weak lensing power spectra