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PAP303 Statistical Inverse Methods, 5 cr 
Code PAP303  Validity 01.01.2017 -
Name Statistical Inverse Methods  Abbreviation Statistical Inv 
Scope5 cr   
TypeAdvanced studies
  GradingGeneral scale 
    Can be taken more than onceno
Unit Master's Programme in Particle Physics and Astrophysical Sciences 

Target group 

Master’s Programme in Particle Physics and Astrophysical Sciences is responsible for the course.

Modules where the course belong to:

  • PAP300 Advanced Studies in Particle Physics and Astrophysical Sciences
    Compulsory for:
    1. Study Track in Astrophysical Sciences
  • ATM300 Advanced Studies in Atmospheric Sciences
    Optional for:
    1. Study Track in Meteorology

The course is available to students from other degree programmes.


Recommended time for completion is in the mid-phase of Master's studies.

The course will be offered annually in the spring term, periods 3–4.

Learning outcomes 

You will learn

  • Advanced statistical methods to describe and analyze research data
  • Theory and practice of statistical estimation and testing
  • Multivariate methods
  • Monte Carlo statistical techniques
  • Bayesian inference
  • Statistical inversion using Markov Chain Monte Carlo methods
Completion methods 

The student must complete weekly excercise tasks, which will include traditional 'pen-and-paper' problems and computer tasks. There will be final exam in the end of the cource.


MAPU I–III, Scientific Computing I, Havaintojen tilastollinen käsittely

Recommended optional studies 

Scientif Computing II


Statistical inference, linear model, nonlinear model, kernel estimation, multivariate methods, Bayesian inference, Monte Carlo methods, MCMC.

Study materials and literature 

The material is collected to handout that is distributed to students.

Activities and teaching methods in support of learning 

Weekly lectures and exercises.

Assessment practices and criteria 

Final grade is based on exercises and final exam.


Current and future instruction
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