Advanced probability theory for biomedical engineers
By: Enderle, John D. (John Denis).
Contributor(s): Farden, David Charles | Krause, Daniel J.
Material type:
BookSeries: Synthesis lectures on biomedical engineering: #11.Publisher: San Rafael, Calif. (1537 Fourth St, San Rafael, CA 94901 USA) : Morgan & Claypool Publishers, c2006Edition: 1st ed.Description: 1 electronic text (viii, 100 p. : ill.) : digital file.ISBN: 1598291513 (electronic bk.); 9781598291513 (electronic bk.); 1598291505 (pbk.); 9781598291506 (pbk.).Uniform titles: Synthesis digital library of engineering and computer science. Subject(s): Random variables | Probabilities | Exponential distributions | Poisson distributions | Gaussian distributions | Bernoulli PMF and Gaussian CDF | Gaussian random variables | Probability and statistics for biomedical engineers | Engineering statistics | Random processes | Probability theoryDDC classification: 519.2 Online resources: Abstract with links to resource | Abstract with links to resource Also available in print.| Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
E books
|
PK Kelkar Library, IIT Kanpur | Available | EBKE015 |
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Part of: Synthesis digital library of engineering and computer science.
Series from website.
Includes bibliographical references.
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.
Abstract freely available; full-text restricted to subscribers or individual document purchasers.
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INSPEC
Compendex
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.
Also available in print.
Title from PDF t.p. (viewed on Oct. 29, 2008).
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