Interval estimation in the presence of nuisance parameters . 1 . Bayesian approach

  title={Interval estimation in the presence of nuisance parameters . 1 . Bayesian approach},
  author={Joel G. Heinrich and Craig Blocker and J. Kimmel K. S. Conway and Luc Demortier and L. Lyons and Giovanni Punzi and Pekka K. Sinervo},
We address the common problem of calculating intervals in the presence of systematic uncertainties. We aim to investigate several approaches, but here describe just a Bayesian technique for setting upper limits. The particular example we study is that of inferring the rate of a Poisson process when there are uncertainties on the acceptance and the background. Limit calculating software associated with this work is available in the form of C functions. 1 The problem A very common statistical… CONTINUE READING


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