EAN: 9783031004872

SYNTHESIS LECTURES ON BIOMEDICAL ENGINEERING ...

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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