Advanced Statistical Methods for Astrophysical Probes of by Marisa Cristina March

By Marisa Cristina March

This thesis explores complex Bayesian statistical equipment for extracting key details for cosmological version choice, parameter inference and forecasting from astrophysical observations. Bayesian version choice presents a degree of the way solid types in a collection are relative to one another - yet what if the simplest version is lacking and never integrated within the set? Bayesian Doubt is an process which addresses this challenge and seeks to convey an absolute instead of a relative degree of the way reliable a version is. Supernovae variety Ia have been the 1st astrophysical observations to point the overdue 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 sort Ia.

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7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. : 2008, Cosmology, Oxford University Press Peacock, J. : 1924, Zeitschrift fur Physik21, 326 Misner, C. , Thorne, K. , and Wheeler, J. H. Freeman and Co. Riess, A. , Filippenko, A. , Garnavich, P. , Gilliland, R. , Hogan, C. , Krishner, R. , Phillips, M. , Schmidt, B. , Schommer, R. , Smith, R. , Suntzeff, N. , Turner, M. , Nolta, M. , Spergel, D. , Bennett, C. , Weiland, J. , Hill, R. , Meyer, S. , Tucker, G. , and Wright, E. : 2009, ApJS 180, 306 Guth, A.

13) Our main question now concerns assigning a suitable value for . Ref. [11] suggests that the Planck scale would be an appropriate limit, such that = G −1/2 , as both General Relativity and Quantum Field Theory are expected to break down at these energies. 1 Dark Energy Models 41 Can this energy of the vacuum be identified as the ‘dark energy’ of cosmological observations? 12) at the Planck scale is ∼120 orders of magnitude greater than the current observed value of the dark energy density ρ .

References 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. : 2008, Cosmology, Oxford University Press Peacock, J. : 1924, Zeitschrift fur Physik21, 326 Misner, C. , Thorne, K. , and Wheeler, J. H. Freeman and Co. Riess, A. , Filippenko, A. , Garnavich, P. , Gilliland, R. , Hogan, C. , Krishner, R. , Phillips, M. , Schmidt, B. , Schommer, R. , Smith, R. , Suntzeff, N. , Turner, M. , Nolta, M. , Spergel, D. , Bennett, C. , Weiland, J. , Hill, R. , Meyer, S. , Tucker, G.

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