Combining Computer Models to Account for Mass Loss in Stellar Evolution
Combining Computer Models to Account for Mass Loss in Stellar Evolution Nathan M. Stein1, David A. van Dyk2∗, Ted von Hippel3, Steven DeGennaro4, Elizabeth J. Jeffery5 and William H. Jefferys6 1Statistics Department, Harvard University, Cambridge, MA 02138-2901, USA 2Statistics Section, Department of Mathematics, Imperial College London, SW7 2AZ, UK 3Physical Sciences Department, Embry-Riddle Aeronautical University, Daytona Beach, FL, USA 4Department of Astronomy, University of Texas at Austin, Austin, TX, USA 5James Madison University, Harrisonburg, VA, USA 6Department of Astronomy, University of Texas at Austin, Austin, TX, USA; Department of Mathematics and Statistics, The University of Vermont, Burlington, VT, USA Received 23 August 2011; revised 11 October 2012; accepted 17 October 2012 DOI:10.1002/sam.11172 Published online in Wiley Online Library (wileyonlinelibrary.com). Abstract: Intricate computer models can be used to describe complex physical processes in astronomy such as the evolution of stars. Like a sampling distribution, these models typically predict observed quantities as a function of a number of unknown parameters. Including them as components of a statistical model, however, leads to significant modeling, inferential, and computational challenges. In this article, we tackle these challenges in the study of the mass loss that stars experience as they age. We have developed a new Bayesian technique for inferring the so-called initial–final mass relation (IFMR), the relationship between the initial mass of a Sun-like star and its final mass as a white dwarf. Our model incorporates several separate computer models for various phases of stellar evolution. We bridge these computer models with a parameterized IFMR in order to embed them into a statistical model.
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