Basics
Detector & statistics in a nutshell
- Statistical data analysis in a nutshell
- Basic detector concepts
- Problems
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Prove that the mean value of the Poissonian distribution is given by
its parameter μ.
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Calculate the mean value and the variance for the uniform distribution.
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Prove that y=F(x) is a random variable which is uniformly distributed
between 0 and 1 (g(y)=1 for y in [0,1]; g(y)=0 otherwise) if F(x) is the
cumulative function of the random variable x with p.d.f. f(x).
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Suppose we have measured n decay times of a certain type of particles,
t1, ..., tn. Calculate the Maximum Likelihood
estimator for the lifetime τ.