素粒子物理学におけるデータ解析のための統計学的手法 Statistical Methods for Data Analysis in Particle Physics (Lecture Notes in Physics)

Lista, Luca

Springer Verlag（2015/08発売）

• 製本 Paperback:紙装版/ペーパーバック版
• 商品コード 9783319201757

Full Description

This 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 data.

Contents

Preface.- Probability theory.- Probability Distribution Functions.- Bayesian approach to probability.- Random numbers and Monte Carlo Methods.- Parameter estimate.- Confidence intervals.- Hypothesis tests.- Upper Limits.- Bibliography.