Basic Probability Theory for Biomedical Engineers - JohnD. Enderle.pdf

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Basic Probability Theory
for Biomedical Engineers
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Copyright © 2006 by Morgan & Claypool
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, photocopy, recording, or any other except for brief quotations
in printed reviews, without the prior permission of the publisher.
Basic Probability Theory for Biomedical Engineers
John D. Enderle, David C. Farden, Daniel J. Krause
www.morganclaypool.com
ISBN: 1598290606 paper
ISBN: 9781598290608 paper
ISBN: 1598290614 ebook
ISBN: 9781598290615 ebook
DOI10.2200/S00037ED1V01Y200606BME005
Library of Congress Cataloging-in-Publication Data
A Publication in the Morgan & Claypool Publishers’ series
SYNTHESIS LECTURES ON BIOMEDICAL ENGINEERING
Lecture #5
Series Editor and Affliation: John D. Enderle, University of Connecticut
1930-0328 Print
1930-0336 Electronic
First Edition
10 9 8 7 6 5 4 3 2 1
Printed in the United States of America
 
Basic Probability Theory
for Biomedical Engineers
John D. Enderle
Program Director & Professor for Biomedical Engineering
University of Connecticut
David C. Farden
Professor of Electrical and Computer Engineering
North Dakota State University
Daniel J. Krause
Emeritus Professor of Electrical and Computer Engineering
North Dakota State University
SYNTHESIS LECTURES ON BIOMEDICAL ENGINEERING #5
& C
Morgan & Claypool Publishers
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ABSTRACT
This is the first in a series of short books on probability theory and random processes for
biomedical engineers. This text is written as an introduction to probability theory. The goal was
to prepare students, engineers and scientists at all levels of background and experience for the
application of this theory to a wide variety of problems—as well as pursue these topics at a more
advanced level. The approach is to present a unified treatment of the subject. There are only
a few key concepts involved in the basic theory of probability theory. These key concepts are
all presented in the first chapter. The second chapter introduces the topic of random variables.
Later chapters simply expand upon these key ideas and extend the range of application. A
considerable effort has been made to develop the theory in a logical manner—developing
special mathematical skills as needed. The mathematical background required of the reader
is basic knowledge of differential calculus. Every effort has been made to be consistent with
commonly used notation and terminology—both within the engineering community as well
as the probability and statistics literature. Biomedical engineering examples are introduced
throughout the text and a large number of self-study problems are available for the reader.
KEYWORDS
Probability Theory, Random Processes, Engineering Statistics, Probability and Statistics for
Biomedical Engineers, Statistics.
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