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3 results

  • 10 - Statistical Methods in Cosmology and Astrophysics

  • from Part III - The Later Universe
  • Dragan Huterer, University of Michigan, Ann Arbor
  • Book:
    A Course in Cosmology
    Published online:
    31 March 2023
    Print publication:
    09 March 2023, pp 229-266

  • Summary

    This chapter reviews statistics and data-analysis tools. Starting from basic statistical concepts such as mean, variance, and the Gaussian distribution, we introduce the principal tools required for data analysis. We discuss both Bayesian and frequentist statistical approaches, with emphasis on the former. This leads us to describe how to calculate the goodness of fit of data to theory, and how to constrain the parameters of a model. Finally, we introduce and explain, both intuitively and mathematically, two important statistical tools: Markov chain Monte Carlo (MCMC) and the Fisher information matrix.

  • 4 - Of Dice and Men*

  • Stephen Senn
  • Book:
    Dicing with Death
    Published online:
    18 November 2022
    Print publication:
    08 December 2022, pp 74-96

  • Summary

    A link is made between epistemology – that is to say, the philosophy of knowledge – and statistics. Hume's criticism of induction is covered, as is Popper's. Various philosophies of statistics are described.