Probability Methods in Civil Engineering


Lecture 1 - Introduction - Role of Probability in Civil Engineering


Lecture 2 - Random Events and Probability Concept


Lecture 3 - Set Theory and Set Operations


Lecture 4 - Axioms of Probability


Lecture 5 - Probability of Events


Lecture 6 - Concept and Defination of Random Variables


Lecture 7 - Probability Distribution of Random Variables


Lecture 8 - CDF and Descriptors of Random Variables


Lecture 9 - Further Descriptors of Random Variables


Lecture 10 - Discrete Probability Distribution


Lecture 11 - Probability Distribution of Continuous RVs


Lecture 12 - Probability Distribution of Continuous RVs (Continued...1)


Lecture 13 - Probability Distribution of Continuous RVs (Continued...2)


Lecture 14 - Functions of Single Random Variables


Lecture 15 - Functions of Random Variables - Different Methods


Lecture 16 - Functions of Random Variables - Different Methods (Continued...)


Lecture 17 - Expectation and Moments of Functions of RV


Lecture 18 - Expectation and Moments of Functions of RV (Continued...)


Lecture 19 - Joint Probability Distribution


Lecture 20 - Marginal Probability Distribution


Lecture 21 - Conditional Probability Distribution


Lecture 22 - Conditional Probability Distribution (Continued...)


Lecture 23 - Properties of Multiple Random Variables


Lecture 24 - Properties of Multiple Random Variables (Continued...)


Lecture 25 - MGF of Multivariate RVs and Multivariate Probability Distributions


Lecture 26 - Multivariate Distribution and Functions of Multiple Random Variables


Lecture 27 - Functions of Multiple Random Variables (Continued...1)


Lecture 28 - Functions of Multiple Random Variables (Continued...2)


Lecture 29 - Introduction to Copulas


Lecture 30 - Introduction to Copulas (Continued...)


Lecture 31 - Probability Models using Normal Distribution


Lecture 32 - Probability Models using Log Normal and Exponential Distribution


Lecture 33 - Probability Models using Gamma and Extreme Value Distribution


Lecture 34 - Probability Models using Discrete Probability Distributions


Lecture 35 - Sampling Distribution and Parameter Estimation


Lecture 36 - Sampling Distribution and Parameter Estimation (Continued...)


Lecture 37 - Hypothesis Testing


Lecture 38 - Goodness - of - fit tests


Lecture 39 - Regression Analyses and Correlation


Lecture 40 - Regression Analyses and Correlation (Continued...)