Uni Heidelberg: Theoretische Physik: L. Amendola  

Prof.  Luca Amendola


Institut für Theoretische Physik -- Universität Heidelberg


Philosophenweg 16 -- D-69120 Heidelberg -- Germany

Tel: +49-6221-549-407 -- Fax: +49-6221-549-333

Sprechstunde: After my lectures
and by appointment Tuesday 11.00 - 12.00 a.m. (other times also possible)





 Bayesian Statistical Methods in Physics and Astrophysics

Winter Semester 2016/17

   The course is an introduction to Bayesian statistical methods in Physics and Astrophysics
    CREDITS: 2 (oral exam on the program or, alternatively, seminar on some selected topic; exam by appointment; see below for the detailed program)   

Program

  - Introduction to probability: definitions, joint and disjoint probability, conditional prob.,
     moments, transf. of variables, Binomial, Poissonian, Gaussian, multivariate prob., examples
  - Estimation of parameters
     Max. Lik. estimators
     Bayes' theorem
     Likelihood method, conf. regions, marginalization
     examples
     Sampling the likelihood: grid versus montecarlo
  - From the likelihood to the Fisher matrix
     Fisher manipulation
     Figure of Merit
     examples
  - General Fisher matrix for gaussian variables
  - Two-point statistics
    correlation function and power spectrum
    higher-order statistics
  - Fisher matrix for the power spectrum
    examples from the Euclid satellite survey
  - Fisher matrix for weak lensing
  - Principal component analysis
    Model selection, evidence
    robustness
    Beyond the Fisher matrix
    General linear fitting
    Frequentist methods, parametric and non-parametric


   NOTE: Course begins on October 24th, 2016 (more info)

   classes on Monday at 14:15-16:00 Philosophenweg 12, R106

  
  
   Calendar :
   24.10
   31.10
   07.11
   14.11
   21.11
   28.11
   05.12
   12.12
   19.12 ATTENTION: moved to SR at Philosophenweg 19
   09.01
   16.01
   23.01


    Program:

    Lecture notes Chap. 1-7, except sections 3.8, 3.11, 3.12, 5.8, 5.9, 6.6, 7.3, 7.5, 7.8, 7.9, 7.10.   

    Suggested texts:

    Lecture notes version 01/2017
    L. Amendola and S. Tsujikawa, Dark Energy, Theory and Observations, Cambridge University Press, 2010,
   chapters 3 and 13
   R. Trotta,Bayes in the sky: Bayesian inference and model selection in cosmology,
   P. Gregory, Bayesian Logical Data Analysis for the Physical Sciences, Cambridge University Press

 
   
 


   
   


 

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