Probability and Statistics for Particle Physics
This book comprehensively presents the basic concepts of probability and Bayesian inference with sufficient generality to make them applicable to current problems in scientific research.The first chapter provides the fundamentals of probability theory tha
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Carlos Maña
Probability and Statistics for Particle Physics
UNITEXT for Physics Series editors Paolo Biscari, Milano, Italy Michele Cini, Roma, Italy Attilio Ferrari, Torino, Italy Stefano Forte, Milano, Italy Morten Hjorth-Jensen, Oslo, Norway Nicola Manini, Milano, Italy Guido Montagna, Pavia, Italy Oreste Nicrosini, Pavia, Italy Luca Peliti, Napoli, Italy Alberto Rotondi, Pavia, Italy
UNITEXT for Physics series, formerly UNITEXT Collana di Fisica e Astronomia, publishes textbooks and monographs in Physics and Astronomy, mainly in English language, characterized of a didactic style and comprehensiveness. The books published in UNITEXT for Physics series are addressed to graduate and advanced graduate students, but also to scientists and researchers as important resources for their education, knowledge and teaching.
More information about this series at http://www.springer.com/series/13351
Carlos Maña
Probability and Statistics for Particle Physics
123
Carlos Maña Departamento de Investigación Básica Centro de Investigaciones Energéticas, Medioambientales y Tecnológicas Madrid Spain
ISSN 2198-7882 UNITEXT for Physics ISBN 978-3-319-55737-3 DOI 10.1007/978-3-319-55738-0
ISSN 2198-7890
(electronic)
ISBN 978-3-319-55738-0
(eBook)
Library of Congress Control Number: 2017936885 © Springer International Publishing AG 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Contents
1 Probability. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1 The Elements of Probability: ðX; B; lÞ . . . . . . . . . . . . . . . . . . . 1.1.1 Events and Sample Space: ðXÞ . . . . . . . . . . . . . . . . . . 1.1
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