Advanced Probability Theory for Biomedical Engineers

"Advanced Probability Theory for Biomedical Engineers" is the third book in a series that focuses on probability theory and stochastic processes for professionals in the field of biomedical engineering. This textbook provides a comprehensive introduction to the common probability distributions frequently encountered in biomedical engineering, including the exponential, Poisson, and Gaussian distributions. Important approximations related to the Bernoulli probability mass function and the Gaussian cumulative density function are discussed. Additionally, significant properties of jointly Gaussian random variables are presented. The final section of the book is dedicated to methods for determining the probability distribution of a function of a random variable. The content is logically structured and aimed at students, engineers, and researchers who wish to explore applications of this theory across a variety of problems. The book requires a basic understanding of differential calculus and includes numerous examples from biomedical engineering, as well as exercises to reinforce the material learned.