Advanced Probability Theory for Biomedical Engineers

This short book focuses on standard probability distributions commonly encountered in biomedical engineering. 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. Also discussed are methods for determining the probability distribution of a function of a random variable. Authors Enderle, Farden, and Krause first evaluate the probability distribution of a function of one random variable using the CDF and then the PMF. 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 PMF and the CDF.