Prof.  Luca Amendola


Institut f�r Theoretische Physik -- Universit�t 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)





 Statistical Methods in Astrophysics and Cosmology

Winter Semester 2011

   The course is an introduction to statistical methods in Astrophysics and Cosmology
  
Program

   - Introduction to probability: definitions, joint and disjoint probability, conditional prob.,
     moments, trans.f of variables, Binomial, Poissonian, Gaussian, multivariate prob., examples
   - Estimation of parameters
     Max. Lik. estimators
     Bayes' theorem
     Likelihood method, conf. regions, marginalization
     examples
   - From the likeliood to the Fisher matrix
     Fisher manipulation
     Figure of Merit
     examples
   - General Fisher matrix for gaussian variables
    FM for P(k)
    examples from Euclid
  - Fisher matrix for weak lensing (A. Vollmer)
  - Principal component analysis
    Model selection, evidence
    robustness
  - Two-point statistics
    correlation function and power spectrum
    higher-order statistics


   NOTE: Course begins on December 29th, 2011

   classes at 11:15-13:00 Philosophenweg 16, seminar room

  
  
   Calendar:
   29.11
   30.11
   01.12
   13.12
   15.12
   17.01
   24.01

  

    Suggested texts:

    Lecture notes (new version 24.01.2012, final version)
    L. Amendola and S. Tsujikawa, Dark Energy, Theory and Observations, Cambridge University Press, 2010,
   chapters 3 and 13
 

 
   
 


   
   


 

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