CEE6110 Probabilistic and Statistical Methods in Engineering

CEE 6110 Probabilistic and Statistical Methods in Engineering
Fall 2006
Utah State University
Instructor: David G Tarboton

Preliminary Material

Powerpoint Slides and Lecture material

Aug. 28, 2006. Preliminary data analysis powerpoint slides. Example data for matlab (E.7.2.xls)
Sep. 6, 2006. Random variables and their properties slides. Data from timber strength example (E.1.1.xls)
Sep. 8, 2006. Matlab notebook example
Sep. 11, 2006. Matlab notebook for Monte-Carlo simulation.
Sep. 13, 2006. Basic Probability Concepts slides . Example.
Sep. 18, 2006. Multiple Random Variables slides .
Oct. 2, 2006. Probability distributions and nonparametric density estimation slides.
Oct. 6, 2006. Weibull Fitting (Problem 4.21)
Oct. 9, 2006. Matlab notebook for Non parametric density estimation.
Oct. 13, 2006. Hypothesis testing example.
Oct. 30, 2006. Bootstrap slides
Oct. 30, 2006. Bootstrap Examples
Oct. 30, 2006. P values estimated using the bootstrap
Nov 6, 2006. Models to represent the relationship between variables (Regression)
Nov 6, 2006. Regression example. gsldata.xls
Nov 21, 2006. Multiple Regression example.
Nov 27, 2006. Multiple Regression.
Dec 1, 2006. Nonlinear function estimation.
Dec 1, 2006. Local Regression Example.

Homework

Homework 0. Pre Course Assessment (Due 9/6/06). Data for Pre Course Assessment (hw0.xls). Results.
Homework 1. Preliminary Data Analysis (Due 9/11/06). Solution.
Homework 2. Random Variables and Their Properties (Due 9/18/06). Bear dataset (Bear_datasets_month.txt). Solution.
Homework 3. Basic Probability Concepts (Due 9/25/06). Solution.
Homework 4. Multiple Random Variables (Due 10/2/06). Solution.
Homework 5. Probability Distributions (Due 10/9/06). Bear dataset (Bear_datasets_month.txt). Solution.
Homework 6. Non Parametric Density Estimation and Model Estimation and Testing (Due 10/25/06). Bear dataset (Bear_datasets_month.txt). E.1.2.xls. E.5.8.xls. Solution.
Homework 7. Bootstrap methods (Due 11/8/06). Datasets: E.1.2.xls. E.5.8.xls. Solution.
Homework 8. Regression (Due 11/21/06). Solution.
Homework 9. Multiple Regression (Due 12/4/06). Datasets: gsldata.xls, watershed.xls. Solution.
Homework 10. Local Regression (Due 12/8/06). Solution.

Reference Material

Useful Calculus facts
Tarboton, D. G., (1994), "The Source Hydrology of Severe Sustained Drought in the Southwestern United States," Journal of Hydrology, 161: 31-69. [PDF 2MB]