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

By: Contributor(s): Material type: TextTextSeries: Publication details: [San Rafael, Calif.] : Morgan & Claypool Publishers, c2006.Edition: 1st edDescription: viii, 100 p. : ill ; 25 cmISBN:
  • 1598294261 (pbk.)
  • 9781598294262 (pbk.)
Subject(s): DDC classification:
  • 519.2 22
Other classification:
  • 519.2
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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books Books Junaid Zaidi Library, COMSATS University Islamabad 519.2 END-A (Browse shelf(Opens below)) Available 41047
Total holds: 0

Title from PDF t.p. (viewed on Nov. 2, 2006).

"This is the third in a series of short books on probability theory and random processes for biomedical engineers"--Abstract.

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.

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