粒子物理学的统计技术Statistical Techniques for Particle Physics |
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课程网址: | http://videolectures.net/cernacademictraining09_cranmer_stpp/ |
主讲教师: | Kyle Cranmer |
开课单位: | 欧洲核子研究组织 |
开课时间: | 2010-09-10 |
课程语种: | 英语 |
中文简介: | 这个系列包括四个1小时的关于粒子物理统计的讲座。其目标是在保持正式方法的同时,建立用于处理现实复杂性问题的技术。我还将尝试将根、rootit和最新开发的roostas框架等常用工具的使用纳入到讲座中。第一堂课将首先回顾概率的基本原理、一些术语以及统计推断的三种主要方法(频域、贝叶斯和基于可能性)。然后,我将概述多元分析技术(Neyman-Pearson引理)的统计基础和机器学习算法的动机。稍后,我将把简单的假设检验扩展到统计模型有一个或多个参数(Neyman构造和Feldman-Cousins技术)的情况。从那里我将概述包含背景不确定性的技术。如果时间允许的话,我将讨论在标准模型之外搜索物理的统计挑战,以及在其他地方搜索的影响。 |
课程简介: | This series will consist of four 1-hour lectures on statistics for particle physics. The goal will be to build up to techniques meant for dealing with problems of realistic complexity while maintaining a formal approach. I will also try to incorporate usage of common tools like ROOT, RooFit, and the newly developed RooStats framework into the lectures. The first lecture will begin with a review the basic principles of probability, some terminology, and the three main approaches towards statistical inference (Frequentist, Bayesian, and Likelihood-based). I will then outline the statistical basis for multivariate analysis techniques (the Neyman-Pearson lemma) and the motivation for machine learning algorithms. Later, I will extend simple hypothesis testing to the case in which the statistical model has one or many parameters (the Neyman Construction and the Feldman-Cousins technique). From there I will outline techniques to incorporate background uncertainties. If time allows, I will touch on the statistical challenges of searches for physics beyond the standard model and the look-elsewhere effect. |
关 键 词: | 粒子物理学; 物理统计学; 统计推理; 概率 |
课程来源: | 视频讲座网 |
最后编审: | 2019-12-27:lxf |
阅读次数: | 29 |