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Created by:

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Last updated:

November 3, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

This class covers quantitative analysis of uncertainty and risk for engineering applications.

Fundamentals of probability, random processes, statistics, and decision analysis are covered, along with random variables and vectors, uncertainty propagation, conditional distributions, and second-moment analysis. System reliability is introduced. Other topics covered include Bayesian analysis and risk-based decision, estimation of distribution parameters, hypothesis testing, simple and multiple linear regressions, and Poisson and Markov processes. There is an emphasis placed on real-world applications to engineering problems

Course Curriculum

    • Events and their Probability Unlimited
    • Random Variables and Vectors, Discrete and Continuous Probability Distributions Unlimited
    • Functions of Random Variables and Derived Distributions Unlimited
    • Expectation of Random Variables and Functions of Random Variables Unlimited
    • Conditional Second Moment Analysis Unlimited
    • Selected Distribution Models: Normal, Lognormal, Extreme, Multivariate Normal Distributions Unlimited
    • Time-invariant Second-Moment Reliability Analysis and Time-Invariant Full-Distribution Reliability Analysis Unlimited
    • Point Estimation of Distribution Parameters: Methods of Moments and Maximum Likelihood, Bayesian Analysis Unlimited
    • Simple and Multiple Linear Regression Unlimited

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Massachusetts Institute of Technology
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