Title Advanced probability theory for biomedical engineers / John D. Enderle, David C. Farden, Daniel J. Krause

Edition 1st ed Published Cham, Switzerland : Springer, ©2006

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Description 1 online resource (viii, 100 pages) Series Synthesis lectures on biomedical engineering, 1930-0336 ; #11 Synthesis lectures on biomedical engineering (Online) ; #11. Contents 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 Summary 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 Notes Title from PDF title page (viewed Nov. 2, 2006) "This is the third in a series of short books on probability theory and random processes for biomedical engineers"--Abstract Bibliography Includes bibliographical references Notes English Subject Probabilities. Random variables. Biomedical engineering. Medical personnel. Engineering. Operations research. System analysis. Probability Theory Biomedical Engineering Health Occupations Engineering Operations Research Technology, Industry, and Agriculture Systems Analysis Disciplines and Occupations Information Science Technology, Industry, Agriculture Probability probability. biomedical engineering. engineering. systems analysis. MATHEMATICS -- Probability & Statistics -- General. System analysis Operations research Medical personnel Engineering Biomedical engineering Probabilities Random variables Form Electronic book Author Farden, David Charles. Krause, Daniel J. ISBN 1598291513 9781598291513 9783031016158 3031016157

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