Uncertainty in Engineering >> Content Detail

Calendar / Schedule


Week #Topicskey dates
Part 1: Introduction to Probability
1Events and their Probability, Elementary Operations with Events, Total Probability Theorem, Independence, Bayes' Theorem
2-3Random Variables and Vectors, Discrete and Continuous Probability Distributions
Mini-quiz 1
4Functions of Random Variables and Derived Distributions
5-6Expectation of Random Variables and Functions of Random Variables

Moments of Variables and Vectors

Mini-quiz 2
7Conditional Second Moment Analysis
8Selected Distribution Models: Normal, Lognormal, Extreme, Multivariate Normal Distributions
Mini-quiz 3
Part 2: Introduction to System Reliability
9Time-invariant Second-moment Reliability Analysis and Time-invariant Full-distribution Reliability AnalysisMini-quiz 4
Part 3: Introduction to Statistics
10Point Estimation of Distribution Parameters: Methods of Moments and Maximum Likelihood, Bayesian Analysis
11Simple and Multiple Linear RegressionMini-quiz 5
12Final Exam


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