1,723,046 research outputs found
Combination of measurements and the BLUE method
Full text linkThe most accurate method to combine measurements from different experiments is to build a combined likelihood function and use it to perform the desired inference. This is not always possible for various reasons, hence approximate methods are often convenient. Among those, the best linear unbiased estimator (BLUE) is the most popular, allowing to take into account individual uncertainties and their correlations. The method is unbiased by construction if the true uncertainties and their correlations are known, but it may exhibit a bias if uncertainty estimates are used in place of the true ones, in particular if those estimated uncertainties depend on measured values. In those cases, an iterative application of the BLUE method may reduce the bias of the combined
measurement
Setting limits and application to Higgs boson search
No full textThis lecture summarizes the basic concept of hypothesis testing, will introduce the concepts of significance and upper limit under the frequentist and Bayesian approaches, and will discuss the benefits and limitations of the most popular approaches. Special attention will be devoted to the so-called modified frequentist approach, which is a popular method in High Energy Physics, and some application to real physics cases will be discussed
Including Gaussian uncertainty on the background estimate for upper limit calculations using Poissonian sampling
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The bias of the unbiased estimator: A study of the iterative application of the BLUE method
No full textErratum: The bias of the unbiased estimator: A study of the iterative application of the BLUE method (Nuclear Instruments and Methods in Physics Research Section A (2014) 764 (82-93))
No full textStatistical methods for data analysis in particle physics
No full textThis concise set of course-based notes provides the reader with the main concepts and tools to perform statistical analysis of experimental data, in particular in the field of high-energy physics (HEP). First, an introduction to probability theory and basic statistics is given, mainly as reminder from advanced undergraduate studies, yet also in view to clearly distinguish the Frequentist versus Bayesian approaches and interpretations in subsequent applications. More advanced concepts and applications are gradually introduced, culminating in the chapter on upper limits as many applications in HEP concern hypothesis testing, where often the main goal is to provide better and better limits so as to be able to distinguish eventually between competing hypotheses or to rule out some of them altogether. Many worked examples will help newcomers to the field and graduate students to understand the pitfalls in applying theoretical concepts to actual dat
Practical Statistics for Particle Physicists
Full text linkThese three lectures provide an introduction to the main concepts of statistical data analysis useful for precision measurements and searches for new signals in High Energy Physics. The frequentist and Bayesian approaches to probability theory will introduced and, for both approaches, inference methods will be presented. Hypothesis tests will be discussed, then significance and upper limit evaluation will be presented with an overview of the modern and most advanced techniques adopted for data analysis at the Large Hadron Collider.These three lectures provide an introduction to the main concepts of statistical data analysis useful for precision measurements and searches for new signals in High Energy Physics. The frequentist and Bayesian approaches to probability theory are introduced and, for both approaches, inference methods are presented. Hypothesis tests will be discussed, then significance and upper limit evaluation will be presented with an overview of the modern and most advanced techniques adopted for data analysis at the Large Hadron Collider
Study of the X(3872) and Y(4260) in B-0 -> J/psi pi(+)pi K--(0) and B--> J/psi pi(+)pi K--(-) decays
No full textObservation and Polarization Measurements of B-+/- -> phi K-1(+/-) and B-+/- -> phi K-2*(+/-)
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