Basics

Detector & statistics in a nutshell

1. Statistical data analysis in a nutshell
   
2. Probability
   
3. Probability Distributions
   
4. Cumulative Distributions
   
5. Expectation Values
   
6. Functions of random variables
   If x is a random variable the function a(x) is also a random variable. If the p.d.f. for x is given by f(x) the p.d.f. g(a) for the random variable a(x) is given by the transformation formula: In the more general case of a mapping of a n-dimensional random vector onto a n-dimensional random vector the last term in the transformation formula is given by the determinant of the Jacobian matrix.
   
   
7. Specific Probability Distributions
   
8. Parameter Estimation from Data
   
9. Statistical Tests
   
10. Basic detector concepts
    
11. Problems