Type Ia Supernova Intrinsic Magnitude Dispersion and the Fitting of Cosmological Parameters

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I present an analysis for fitting cosmological parameters from a Hubble Diagram of a standard candle with unknown intrinsic magnitude dispersion. The dispersion is determined from the data themselves, simultaneously with the cosmological parameters. This contrasts with the strategies used to date. The advantages of the presented analysis are that it is done in a single fit (it is not iterative), it provides a statistically founded and unbiased estimate of the intrinsic dispersion, and its cosmological-parameter uncertainties account for the intrinsic dispersion uncertainty. Applied to Type Ia supernovae, my strategy provides a statistical measure to test for sub-types and assess ... continued below

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Kim, Alex G December 10, 2010.

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I present an analysis for fitting cosmological parameters from a Hubble Diagram of a standard candle with unknown intrinsic magnitude dispersion. The dispersion is determined from the data themselves, simultaneously with the cosmological parameters. This contrasts with the strategies used to date. The advantages of the presented analysis are that it is done in a single fit (it is not iterative), it provides a statistically founded and unbiased estimate of the intrinsic dispersion, and its cosmological-parameter uncertainties account for the intrinsic dispersion uncertainty. Applied to Type Ia supernovae, my strategy provides a statistical measure to test for sub-types and assess the significance of any magnitude corrections applied to the calibrated candle. Parameter bias and differences between likelihood distributions produced by the presented and currently-used fitters are negligibly small for existing and projected supernova data sets.

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  • Journal Name: Publications of the Astronomical Society of the Pacific

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  • Report No.: LBNL-4123E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 1003823
  • Archival Resource Key: ark:/67531/metadc829673

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  • December 10, 2010

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  • May 19, 2016, 3:16 p.m.

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  • June 15, 2016, 9:54 p.m.

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Kim, Alex G. Type Ia Supernova Intrinsic Magnitude Dispersion and the Fitting of Cosmological Parameters, article, December 10, 2010; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc829673/: accessed September 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.