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Advanced probability theory for biomedical engineers

This is the third in a series of short books on probability theory and random processes for biomedical engineers. This book focuses on standard probability distributions commonly encountered in biomedical engineering. The exponential, Poisson and Gaussian distributions are introduced, as well as imp...

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Bibliographic Details
Main Author: Enderle, John D.
Other Authors: Farden, David Charles., Krause, Daniel J.
Format: Electronic
Language:English
Published: San Rafael, Calif. (1537 Fourth St, San Rafael, CA 94901 USA) : Morgan & Claypool Publishers, c2006.
Edition:1st ed.
Series:Synthesis lectures on biomedical engineering, #11.
Subjects:
Probabilities.
Random variables.
Online Access:View fulltext via EzAccess
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020 # # |a 1598291513 (electronic bk.) 
020 # # |a 9781598291513 (electronic bk.) 
020 # # |a 1598291505 (pbk.) 
020 # # |a 9781598291506 (pbk.) 
024 7 # |a 10.2200/S00063ED1V01Y200610BME011  |2 doi 
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100 1 # |a Enderle, John D.  |q (John Denis) 
245 1 0 |a Advanced probability theory for biomedical engineers  |c John D. Enderle, David C. Farden, Daniel J. Krause.  |h [electronic resource] / 
250 # # |a 1st ed. 
260 # # |a San Rafael, Calif. (1537 Fourth St, San Rafael, CA 94901 USA) :  |b Morgan & Claypool Publishers,  |c c2006. 
300 # # |a 1 electronic text (viii, 100 p. : ill.) :  |b digital file. 
490 1 # |a Synthesis lectures on biomedical engineering,  |v #11  |x 1930-0336 ; 
500 # # |a Part of: Synthesis digital library of engineering and computer science. 
500 # # |a Title from PDF t.p. (viewed on Oct. 29, 2008). 
500 # # |a Series from website. 
504 # # |a Includes bibliographical references. 
505 0 # |a Standard probability distributions -- Uniform distributions -- Exponential distributions Bernoulli trials -- Poisson distribution -- Univariate Gaussian distribution -- Bivariate Gaussian random variables -- Summary -- Problems -- Transformations of random variables -- Univariate CDF technique -- Univariate PDF technique -- One function of two random variables -- Bivariate transformations -- Summary -- Problems. 
506 # # |a Abstract freely available; full-text restricted to subscribers or individual document purchasers. 
510 0 # |a Compendex 
510 0 # |a INSPEC 
510 0 # |a Google scholar 
510 0 # |a Google book search 
520 # # |a This is the third in a series of short books on probability theory and random processes for biomedical engineers. This book focuses on standard probability distributions commonly encountered in biomedical engineering. The exponential, Poisson and Gaussian distributions are introduced, as well as important approximations to the Bernoulli PMF and Gaussian CDF. Many important properties of jointly Gaussian random variables are presented. The primary subjects of the final chapter are methods for determining the probability distribution of a function of a random variable. We first evaluate the probability distribution of a function of one random variable using the CDF and then the PDF. Next, the probability distribution for a single random variable is determined from a function of two random variables using the CDF. Then, the joint probability distribution is found from a function of two random variables using the joint PDF and the CDF. The aim of all three books is as an introduction to probability theory. The audience includes students, engineers and researchers presenting applications of this theory to a wide variety of problems as well as pursuing these topics at a more advanced level. The theory material is presented in a logical manner developing special mathematical skills as needed. The mathematical background required of the reader is basic knowledge of differential calculus. Pertinent biomedical engineering examples are throughout the text. Drill problems, straightforward exercises designed to reinforce concepts and develop problem solution skills, follow most sections. 
530 # # |a Also available in print. 
538 # # |a Mode of access: World Wide Web. 
538 # # |a System requirements: Adobe Acrobat Reader. 
650 # 0 |a Probabilities. 
650 # 0 |a Random variables. 
690 # # |a Probability theory. 
690 # # |a Random processes. 
690 # # |a Engineering statistics. 
690 # # |a Probability and statistics for biomedical engineers. 
690 # # |a Exponential distributions. 
690 # # |a Poisson distributions. 
690 # # |a Gaussian distributions. 
690 # # |a Bernoulli PMF and Gaussian CDF. 
690 # # |a Gaussian random variables. 
700 1 # |a Farden, David Charles. 
700 1 # |a Krause, Daniel J. 
730 0 # |a Synthesis digital library of engineering and computer science. 
830 # 0 |a Synthesis lectures on biomedical engineering,  |v #11.  |x 1930-0336 ; 
856 4 2 |u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.2200/S00063ED1V01Y200610BME011  |z View fulltext via EzAccess 

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