Advanced probability theory for biomedical engineers [electronic resource] / John D. Enderle, David C. Farden, Daniel J. Krause
- Enderle, John D. (John Denis)
- San Rafael, Calif. (1537 Fourth St, San Rafael, CA 94901 USA) : Morgan & Claypool Publishers, 
- Copyright Date:
- 1st ed.
- Physical Description:
- 1 electronic text (viii, 100 pages : illustrations) : digital file
- Additional Creators:
- Farden, David Charles
Krause, Daniel J.
- Synthesis lectures on biomedical engineering, 1930-0336 ; #11
- Restrictions on Access:
- Abstract freely available; full-text restricted to subscribers or individual document purchasers.
- 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.
- 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.
- 1598291513 (electronic bk.)
9781598291513 (electronic bk.)
- Related Titles:
- Synthesis digital library of engineering and computer science
- Part of: Synthesis digital library of engineering and computer science.
Title from PDF t.p. (viewed on Oct. 29, 2008).
Series from website.
- Bibliography Note:
- Includes bibliographical references.
- Other Forms:
- Also available in print.
- Technical Details:
- Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
- Indexed By:
Google book search
View MARC record | catkey: 7058213