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Title: Cosmological parameter estimation from galaxy surveys
Author: Burkey, D.
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 2005
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Abstract:
This thesis deals with the statistical analysis of galaxy redshift and peculiar velocity surveys, concentrating on their exploitation for cosmological parameter estimation. The work is divided into two themes. Firstly predictions are made of the information content of galaxy surveys and the problem of optimising surveys’ designs to maximize this information is discussed. The second part is the development of a maximum likelihood method of constraining key parameters which deals most accurately with the spherical nature of modern wide-field surveys. Throughout the thesis, the 6 degree Field Galaxy Survey (6dFGS) is used to demonstrate the methods. Through application of the information theory to the 6dFGS, key predictions are made as to the strengths of the survey. The likelihood method is also developed with the intention that it be used in a future analysis of the 6dFGS. To fully exploit the information content of redshifts and velocities it is necessary to perform a joint analysis of the two. This is particularly suitable for the 6dFGS since it incorporates a redshift and velocity survey which use similar selection criteria. The Fisher matrix for the two data sets of redshifts and velocities is derived. It is then used to predict the information content of the combined surveys, as well as the correlations between the parameters. It is found that the great advantage of combining redshifts and peculiar velocities is that the combination breaks the degeneracy between the redshift distortion parameter and the mass-galaxy correlation coefficient allowing the simultaneous constraint of both. The second part of the work develops a method of constraining these two parameters. Redshift space distortions are best dealt with by expanding the galaxy distribution of a survey in spherical Bessel functions and spherical harmonics. This separation of angular and radial distributions is also convenient analytically as a way of separating out the window function from the radial selection function. Models are constructed of the combined covariance matrix of the redshift-velocity data set. The models accurately describe the effects of redshift space distortions and stochastic galaxy biasing, to linear order. Software developed to perform this analysis is then tested on a suite of simulations of the 6dFGS. The method also involves the compression of the simulated data using Generalised Optimal Mode Analysis. The results are a good reflection of what will be possible when the survey reaches completion in mid-2005.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID: uk.bl.ethos.642240  DOI: Not available
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