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