Probability with R. Jane M. Horgan

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      Probability with R: An Introduction with Computer Science Applications

       Second Edition

      Jane M. Horgan

      This second edition first published 2020

      © 2020 John Wiley & Sons, Inc. All rights reserved.

       Edition History

      John Wiley & Sons, Inc. (1e, 2009)

      All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at http://www.wiley.com/go/permissions.

      The right of Jane M. Horgan to be identified as the author of this work has been asserted in accordance with law.

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      John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, USA

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      111 River Street, Hoboken, NJ 07030, USA

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       Limit of Liability/Disclaimer of Warranty

      While the publisher and authors have used their best efforts in preparing this work, they make no representations or warranties with respect to the accuracy or completeness of the contents of this work and specifically disclaim all warranties, including without limitation any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives, written sales materials or promotional statements for this work. The fact that an organization, website, or product is referred to in this work as a citation and/or potential source of further information does not mean that the publisher and authors endorse the information or services the organization, website, or product may provide or recommendations it may make. This work is sold with the understanding that the publisher is not engaged in rendering professional services. The advice and strategies contained herein may not be suitable for your situation. You should consult with a specialist where appropriate. Further, readers should be aware that websites listed in this work may have changed or disappeared between when this work was written and when it is read. Neither the publisher nor authors shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

       Library of Congress Cataloging‐in‐Publication Data

      Names: Horgan, Jane M., author.

      Title: Probability with R : an introduction with computer science

      applications / Jane Mary Horgan.

      Description: Second edition. | Hoboken, NJ, USA : Wiley, 2020. | Includes

      bibliographical references and index.

      Identifiers: LCCN 2019032520 (print) | LCCN 2019032521 (ebook) | ISBN

      9781119536949 (hardback) | ISBN 9781119536925 (adobe pdf) | ISBN

      9781119536987 (epub)

      Subjects: LCSH: Computer science–Mathematics. | Probabilities. | R

      (Computer program language)

      Classification: LCC QA76.9.M35 H863 2020 (print) | LCC QA76.9.M35 (ebook)

      | DDC 004.01/5113–dc23

      LC record available at https://lccn.loc.gov/2019032520

      LC ebook record available at https://lccn.loc.gov/2019032521

      Cover design by Wiley

       To the memory of Willie, referee, and father of all the Horgans

      It is now over 10 years since the publication of the first edition of “Probability with R.” Back then we had just begun to hear of smartphones, fitbits, apps, and Bluetooth; machine learning was in its infancy. It is timely to address how probability applies to new developments in computing. The applications and examples of the first edition are beginning to look somewhat passé and old fashioned. Here, therefore, we offer an updated and extended version of that first edition.

      This second edition is still intended to be a first course in probability, addressed to students of computing and related disciplines. As in the first edition, we favor experimentation and simulation rather than the traditional mathematical approach. We continue to rely on the freely downloadable language R, which has of course evolved over the past 10 years.

      Our R programs are integrated throughout the text, to illustrate the concepts of probability, to simulate distributions, and to explore new problems. We have been mindful to avoid as far as is possible mathematical details, instead encouraging students to investigate for themselves, through experimentation and simulation in R. Algebraic derivations, when deemed necessary, are developed in the appendices.

      In this second edition, all chapters have been revised and updated. Examples and applications of probability in new areas of computing, as well as exercises and projects, have been added to most chapters. The R code has been improved and expanded, by using procedures and functions that have become available in recent years. Extended use of loops and curve facilities to generate graphs with differing parameters have tidied up our approach to limiting distributions.

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