Uncertainty in Engineering

Description

In this course, you will learn:

• Introduction to probability and statistics, focusing on quantitative uncertainty analysis and risk assessment in engineering applications.
• Focuses on probability theory and its applications, with a minor module at the end that covers fundamental statistical issues (parameter estimation, hypothesis testing, and regression analysis).
• Cover events and their probabilities, the total probability and Bayes' theorems, discrete and continuous random variables and vectors, the Bernoulli trial sequence and Poisson process models, conditional distributions, functions of random variables and vectors, statistical moments, second-moment uncertainty propagation and second-moment conditional analysis, and various probability models such as the exponential, gamma, normal, lognormal, uniform,
• Throughout the curriculum, principles are demonstrated with examples from engineering and everyday life.