Selected Models of Continuous Variables
Most of the random variables used in engineering and scientific applications are described by continuous variables that may attain any value from a given interval. The probability density function of a continuous random variable is often interpreted as th
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Introduction to Probability and Statistics for Engineers
Introduction to Probability and Statistics for Engineers
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Milan Holicky´
Introduction to Probability and Statistics for Engineers
Milan Holicky´ Klokner Institute, Department of Structural Reliability Czech Technical University in Prague Prague Czech Republic
ISBN 978-3-642-38299-4 ISBN 978-3-642-38300-7 (eBook) DOI 10.1007/978-3-642-38300-7 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2013945183 © Springer-Verlag Berlin Heidelberg 2013 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
The theory of probability and mathematical statistics is becoming indispensable knowledge for an increasing number of engineers and scientists. This is caused by the enlarging significance of the economic and societal consequences of technological systems due to uncertainties affecting performance. That is why the fundamental concepts and procedures used to analyse, design, execute and utilize these systems are, at present, based on the theory of probability and mathematical statistics. However, these probabilistic and statistical concepts are still not properly understood or interpreted by experts, including engineers and scientists involved in the va
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