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Probability and Statistics in Engineering >> Content Detail



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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
4Functions of Random Variables and Derived Distributions
5-6Expectation of Random Variables and Functions of Random Variables

Moments of Variables and Vectors
7Conditional Second Moment Analysis
8Selected Distribution Models: Normal, Lognormal, Extreme, Multivariate Normal DistributionsQuiz on part 1 (1.5 hours, in class, open books and notes)
Part 2: Introduction to System Reliability
9Time-invariant Second-Moment Reliability Analysis and Time-Invariant Full-Distribution Reliability Analysis
Part 3: Introduction to Statistics
10Point Estimation of Distribution Parameters: Methods of Moments and Maximum Likelihood, Bayesian Analysis
11Simple and Multiple Linear RegressionQuiz on parts 2 and 3 (1.5 hours, in class, open books and notes)

 








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