Advanced Statistical Methods for Astrophysical Probes of by Marisa Cristina March

By Marisa Cristina March

This thesis explores complicated Bayesian statistical tools for extracting key info for cosmological version choice, parameter inference and forecasting from astrophysical observations. Bayesian version choice offers a degree of ways solid versions in a collection are relative to one another - yet what if the easiest version is lacking and never integrated within the set? Bayesian Doubt is an technique which addresses this challenge and seeks to carry an absolute instead of a relative degree of ways stable a version is. Supernovae kind Ia have been the 1st astrophysical observations to point the past due time acceleration of the Universe - this paintings provides a close Bayesian Hierarchical version to deduce the cosmological parameters (in specific darkish strength) from observations of those supernovae kind Ia.

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Void models are based on the idea of an inhomogeneous Universe, which is less dense at the centre (the underdense ‘void’ ) and more dense at the edges. Typically these void models are based on a spherically symmetric Lemaître-Tolman-Bondi (LTB) Universe [20, 21] with the observers placed close to the centre of the void, for a discussion of how void models produce the appearance of late time acceleration see for example [22]. One of the main criticisms of void models are that they violate the Copernican principle, however this criticism may be side stepped to some degree by constructing a model in which there are many voids and that the void in which the observers find themselves is no different to any of the other voids.

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Blake, C. : 2003, ApJ 594, 665 28. Eisenstein, D. , Hogg, D. , Blanton, M. , Nichol, R. , Anderson, S. , Castander, F. , Frieman, J. , Gunn, J. , Hendry, J. , Knapp, G. , Lupton, R. , Mckay, T. , Munn, J. , Richmond, M. , Schneider, D. , Strauss, M. , Szalay, A. , Tucker, D. , and York, D. : 2005, ApJ 633, 560 Chapter 3 Dark Energy and Apparent Late Time Acceleration Astrophysical observations suggest that the expansion of the Universe is accelerating. This cannot be explained by matter, either ordinary or dark since matter is gravitationally attractive and would lead to deceleration not acceleration.

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