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Titlebook: Statistical Methods for Data Analysis; With Applications in Luca Lista Book 2023Latest edition The Editor(s) (if applicable) and The Author

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发表于 2025-3-21 19:52:12 | 显示全部楼层 |阅读模式
书目名称Statistical Methods for Data Analysis
副标题With Applications in
编辑Luca Lista
视频video
概述Revised third edition with a chapter dedicated to machine learning.Offers a course-based introduction to statistical analysis for experimental data.Enriched with many worked-out examples to train the
丛书名称Lecture Notes in Physics
图书封面Titlebook: Statistical Methods for Data Analysis; With Applications in Luca Lista Book 2023Latest edition The Editor(s) (if applicable) and The Author
描述.This third edition expands on the original material. Large portions of the text have been reviewed and clarified. More emphasis is devoted to machine learning including more modern concepts and examples. This book provides the reader with the main concepts and tools needed to perform statistical analyses of experimental data, in particular in the field of high-energy physics (HEP)..It starts with an introduction to probability theory and basic statistics, mainly intended as a refresher from readers’ advanced undergraduate studies, but also to help them clearly distinguish between the Frequentist and Bayesian approaches and interpretations in subsequent applications. Following, the author discusses Monte Carlo methods with emphasis on techniques like Markov Chain Monte Carlo, and the combination of measurements, introducing the best linear unbiased estimator. More advanced concepts and applications are gradually presented, including unfolding and regularization procedures, culminating in the chapter devoted to discoveries and upper limits..The reader learns through many applications in HEP where the hypothesis testing plays a major role and calculations of look-elsewhere effect are
出版日期Book 2023Latest edition
关键词Bayesian versus frequentist probability theory; experimental particle physics and data analysis; hypot
版次3
doihttps://doi.org/10.1007/978-3-031-19934-9
isbn_softcover978-3-031-19933-2
isbn_ebook978-3-031-19934-9Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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发表于 2025-3-21 21:47:18 | 显示全部楼层
Introduction to Probability and Inference,ity are introduced: classical probability, frequentist and Bayesian approaches, that are more extensively discussed in dedicated chapters. The problem to generalize classical probability to the continuum is discussed, and the axiomatic approach to probability due to Kolmogorov is introduced. The gen
发表于 2025-3-22 03:46:08 | 显示全部楼层
Discrete Probability Distributions,statistical indicators: average, variance, etc. The problem of determining the probability distribution under variable transformation is presented. The most frequently used discrete distribution are introduced: Bernoulli, binomial, multinomial and Poisson, and their properties are discussed. The law
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Random Numbers and Monte Carlo Methods,o a chaotic and poorly predictable regime. The main methods to extract pseudorandom numbers distributed according to the desired density function are presented. Monte Carlo methods are introduced, in particular, the hit-or-miss Monte Carlo and importance sampling. The use of Monte Carlo method for n
发表于 2025-3-22 16:55:30 | 显示全部楼层
Bayesian Probability and Inference,ior and posterior probabilities are defined. The application to the continuous case is presented, and Bayesian inference is introduced, which can also be interpreted as learning process from multiple observations. The treatment of nuisance parameters with Bayesian inference is discussed. Credible in
发表于 2025-3-22 17:13:25 | 显示全部楼层
Frequentist Probability and Inference,hod is maximum likelihood, which is introduced, and its properties are discussed. Best fits using binned and unbinned distributions are presented with examples for different typical cases. Different approaches to estimate uncertainty intervals with maximum likelihood estimates are introduced. The ex
发表于 2025-3-22 23:47:24 | 显示全部楼层
Combining Measurements,measurements compared to individual ones. Different approaches are presented. When possible, if the complete likelihood function can be determined, a simultaneous fit to the different data sets provides the best combined estimate. If the likelihood function cannot be determined with sufficient accur
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