Probability and Statistical Models: Foundations for Problems in Reliability and Financial Mathematics
With an emphasis on models and techniques, this textbook introduces many of the fundamental concepts of stochastic modeling that are now a vital component of almost every scientific investigation. These models form the basis of well-known parametric lifetime distributions such as exponential, Weibull, and gamma distributions, as well as change-point and mixture models. The authors also consider more general notions of non-parametric lifetime distribution classes.
The Britannica Guide to Statistics and Probability
This volume presents a multifaceted view of statistics and probability. Through the eyes of the discoverers we find the thrilling aspects of mathematical applications that changed the lives of the innovators themselves, as well as the world at large.
Introductory Probability is a pleasure to read and provides a fine answer to the question: How do you construct Brownian motion from scratch, given that you are a competent analyst? There are at least two ways to develop probability theory. The more familiar path is to treat it as its own discipline, and work from intuitive examples such as coin flips and conundrums such as the Monty Hall problem.
(12 lectures, 30 minutes/lecture)
