Stochastic Hydrology


Lecture 1 - Introduction


Lecture 2 - Bivariate Distributions


Lecture 3 - Independence ; Functions of Random Variables


Lecture 4 - Moments of a Distribution


Lecture 5 - Normal Distribution


Lecture 6 - Other Continuous Distributions


Lecture 7 - Parameter Estimation


Lecture 8 - Covariance and Correlation


Lecture 9 - Data Generation


Lecture 10 - Time Series Analysis (1)


Lecture 11 - Time Series Analysis (2)


Lecture 12 - Time Series Analysis (3)


Lecture 13 - Frequency Domain Analysis (1)


Lecture 14 - Frequency Domain Analysis (2) and ARIMA Models (1)


Lecture 15 - ARIMA Models (2)


Lecture 16 - ARIMA Models (3)


Lecture 17 - ARIMA Models (4)


Lecture 18 - Case Studies (1)


Lecture 19 - Case Studies (2)


Lecture 20 - Case Studies (3)


Lecture 21 - Case Studies (4)


Lecture 22 - Markov Chains (1)


Lecture 23 - Markov Chains (2)


Lecture 24 - Frequency Analysis (1)


Lecture 25 - Frequency Analysis (2)


Lecture 26 - Frequency Analysis (3) and Probability Plotting (1)


Lecture 27 - Probability Plotting (2)


Lecture 28 - Goodness of Fit


Lecture 29 - IDF Relationships


Lecture 30 - Multiple Linear Regression


Lecture 31 - Principal Component Analysis


Lecture 32 - Regression on Principal Components


Lecture 33 - Multivariate Stochastic Models (1)


Lecture 34 - Multivariate Stochastic Models (2)


Lecture 35 - Multivariate Stochastic Models (3)


Lecture 36 - Data Consistency Checks (1)


Lecture 37 - Data Consistency Checks (2)


Lecture 38 - Data Consistency Checks (3)


Lecture 39 - Recent Applications: Climate Change Impact Assessment


Lecture 40 - Summary of the Course