Statistics for High Energy Physics

<!--HTML--><p>The lectures emphasize the frequentist approach used for&nbsp;Dark Matter search and the Higgs search, discovery and measurements of its properties.</p> <p>An emphasis is put on hypothesis test using the asymptotic formulae formalism and its derivation, and on the derivation of the trial factor formulae in one and two dimensions. Various test statistics and their applications are discussed.&nbsp;</p> <p>Some keywords: Profile Likelihood, Neyman Pearson, Feldman Cousins, Coverage, CLs. Nuisance Parameters Impact, Look Elsewhere Effect...</p> <p><em>Selected Bibliography:</em></p> <p><strong>G. J. Feldman and R. D. Cousins</strong>, A Unified approach to the classical statistical analysis of small signals, Phys.\ Rev.\ D {\bf 57}, 3873 (1998).</p> <p><strong>A. L. Read</strong>, Presentation of search results: The CL(s) technique,'' J.\ Phys.\ G {\bf 28}, 2693 (2002).</p> <p><strong>G. Cowan, K. Cranmer, E. Gross and O. Vitells,&nbsp;&nbsp;</strong>Asymptotic formulae for likelihood-based tests of new physics,'</p> <p>Eur.\ Phys.\ J.\ C {\bf 71}, 1554 (2011) Erratum: [Eur.\ Phys.\ J.\ C {\bf 73}, 2501 (2013)].</p> <p><strong>E. Gross and O. Vitells,&nbsp;</strong>Trial factors for the look elsewhere effect in high energy physics,'</p> <p>Eur.\ Phys.\ J.\ C {\bf 70}, 525 (2010).</p>