1998/08/06 by Dennis Silverman, Silverman, Dennis · 1 citation
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Data Analysis #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Scientific Research and Discoveries #Statistics and Probability (physics.data-an) #hep-ph #physics.data-an
paper · pdf · doi:10.48550/arxiv.physics/9808004
26 pages, with RevTeX. The replacement has added the application to neutrino oscillation experiments. It also includes a more general derivation. For the case with background, it includes a study of the normalization
openalex publication_date 1998/08/06 · arxiv created 1999/10/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Bayesian Poisson probability distributions for the average n can be analytically converted into equivalent chi-squared distributions. These can then be combined with other Gaussian or Bayesian Poisson distributions to make a total chi-squared distribution. This allows the usual treatment of chi-squared contours but now with both Poisson and Gaussian statistics experiments. This is illustrated with the case of neutrino oscillations.