Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Likelihood ratio intervals with Bayesian treatment of uncertainties: Coverage, power and combined experiments
KTH, School of Engineering Sciences (SCI), Physics, Particle and Astroparticle Physics.
2006 (English)In: Statistical Problems in Particle Physics, Astrophysics and Cosmology - Proceedings of PHYSTAT 2005, Imperial College Press, 2006, 93-96 p.Conference paper, Published paper (Refereed)
Abstract [en]

In this note we present studies of coverage and power for confidence intervals for a Poisson process with known background calculated using the Likelihood ratio (aka Feldman k. Cousins) ordering with Bayesian treatment of uncertainties in nuisance parameters. We consider the variant where the Bayesian integration is performed in both the numerator and the denominator, and also the modification where the integration is done only in the numerator whereas in the denominator the likelihood is taken at the maximum likelihood estimate of the parameters. Furthermore we discuss how measurements can be combined in this framework and give an illustration with limits on the branching ratio of a rare B-meson decay recently presented by CDF/DO. A set of C ++ classes has been developed which can be used to calculate confidence intervals for single or combining multiple experiments using the above algorithms and considering a variety of parameterizations to describe the uncertainties.

Place, publisher, year, edition, pages
Imperial College Press, 2006. 93-96 p.
Keyword [en]
Experiments, High energy physics, Maximum likelihood estimation, B meson decays, Bayesian integration, Branching ratio, Confidence interval, Likelihood ratios, Maximum likelihood estimate, Nuisance parameter, Poisson process
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-164239Scopus ID: 2-s2.0-84894198485ISBN: 1860946496 (print)ISBN: 9781860946493 (print)OAI: oai:DiVA.org:kth-164239DiVA: diva2:804989
Conference
5th Statistical Problems in Particle Physics, Astrophysics and Cosmology Conference, PHYSTAT 2005, 12 September 2005 through 15 September 2005, Oxford, United Kingdom
Note

QC 20150414

Available from: 2015-04-14 Created: 2015-04-14 Last updated: 2015-04-14Bibliographically approved

Open Access in DiVA

No full text

Scopus

Search in DiVA

By author/editor
Conrad, Jan
By organisation
Particle and Astroparticle Physics
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar

isbn
urn-nbn

Altmetric score

isbn
urn-nbn
Total: 12 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf