Lecture 13. Interval estimation and setting limits

Statistical Data Analysis

Dmitry V. Naumov (JINR)

Draft Outline

  • TODO: confidence intervals and coverage
  • TODO: one-sided and two-sided intervals
  • TODO: upper limits in counting experiments

Exercises

Exercise

Show that the likelihood for a Poisson count \(n\) with expectation \(\mu\) is \[ L(\mu)=\frac{\mu^n e^{-\mu}}{n!}. \]