Stochastic Hydrology
Stochastic Hydrology. Instructor: Prof. P. P. Mujumdar, Department of Civil Engineering, IISc Bangalore. The objective of this course is to introduce the concepts of probability theory and stochastic processes with applications in hydrologic analysis and design. Modeling of hydrologic time series with specific techniques for data generation and hydrologic forecasting will be dealt with. Case study applications will be discussed.
(from nptel.ac.in)
| Introduction |
| Lecture 01 - Introduction |
| Lecture 02 - Bivariate Distributions |
| Lecture 03 - Independence; Functions of Random Variables |
| Lecture 04 - Moments of a Distribution |
| Commonly used Probability Distributions |
| Lecture 05 - Normal Distribution |
| Lecture 06 - Other Continuous Distributions |
| Data Generation |
| Lecture 07 - Parameter Estimation |
| Lecture 08 - Covariance and Correlation |
| Lecture 09 - Data Generation |
| Time Series Analysis |
| Lecture 10 - Time Series Analysis, Part 1 |
| Lecture 11 - Time Series Analysis, Part 2 |
| Lecture 12 - Time Series Analysis, Part 3 |
| Lecture 13 - Frequency Domain Analysis |
| Lecture 14 - Frequency Domain Analysis (cont.), ARIMA Models |
| Lecture 15 - ARIMA Models, Part 2 |
| Lecture 16 - ARIMA Models, Part 3 |
| Lecture 17 - ARIMA Models, Part 4 |
| Lecture 18 - Case Studies, Part 1 |
| Lecture 19 - Case Studies, Part 2 |
| Lecture 20 - Case Studies, Part 3 |
| Lecture 21 - Case Studies, Part 4 |
| Markov Chains |
| Lecture 22 - Markov Chains |
| Lecture 23 - Markov Chains (cont.) |
| Frequency Analysis |
| Lecture 24 - Frequency Analysis |
| Lecture 25 - Frequency Analysis (cont.) |
| Lecture 26 - Frequency Analysis (cont.), Probability Plotting |
| Lecture 27 - Probability Plotting (cont.) |
| Lecture 28 - Goodness of Fit |
| Lecture 29 - IDF Relationships |
| Multivariate Models |
| Lecture 30 - Multiple Linear Regression |
| Lecture 31 - Principal Component Analysis |
| Lecture 32 - Regression on Principal Components |
| Lecture 33 - Multivariate Stochastic Models, Part 1 |
| Lecture 34 - Multivariate Stochastic Models, Part 2 |
| Lecture 35 - Multivariate Stochastic Models, Part 3 |
| Data Consistency |
| Lecture 36 - Data Consistency, Part 1 |
| Lecture 37 - Data Consistency, Part 2 |
| Lecture 38 - Data Consistency, Part 3 |
| Applications and Summary |
| Lecture 39 - Recent Applications: Climate Change Impact Assessment |
| Lecture 40 - Summary |
| References |
Stochastic Hydrology
Instructor: Prof. P. P. Mujumdar, Department of Civil Engineering, IISc Bangalore. The objective of this course is to introduce the concepts of probability theory and stochastic processes with applications in hydrologic analysis and design.
|