Contents
ECE 302: "Probabilistic Methods in Electrical and Computer Engineering ", Fall 2008 Professor Sanghavi
Getting started
Inserting Formulas
This is to address students not know how to put formulas into their wiki pages. MediaWiki uses a markup language based on Latex to produce it's mathematical equations. Anything that goes between the <math> </math> tags will be rendered as mathematical equations. All the symbols needed to produce the desired equations can be found at the following site.
- Using Latex in Rhea
- Comprehensive list of LaTeX commands (Note that some commands in the manual do not work within Rhea, but most do.)
Another handy way to learn how to write a math equation is to go to the real Wikipedia and find a good math article that has a bunch of formulas and just click "view source" or "edit".
Homeworks
- Homework 1
- Homework 2
- Homework 3
- Homework 4
- Homework 5
- Homework 6
- Homework 7
- Homework 8
- Homework 9
- Homework 10
Lectures
- Lecture 5: Independence
- 10/27 Lecture: Merkov and Chebyshev Inequalities_ECE302Fall2008sanghavi
- 11/17 Map Estimation w/ Landis
Cheat Sheets
Helpful Examples
- Hillary and Barack, Lec. 3 on 8/29
- Disease testing, Lec. 3 on 8/29
- Switches, Lec. 5 on 9/8
- Average speed vs. average time, Lec. 7 on 9/12
- Car keys redistributed, Lec 10 on 9/19
- Coupon collection, Lec. 11 on 9/22
- Memoryless property of exponential, Lec 13 on 10/1
- When to arrive at the train station?_ECE302Fall2008sanghavi
- Finding area of a shape by random samples, Lec 14 on 10/3
- Conditional PDFs - random breaking of a stick, Lec 15 on 10/6_ECE302Fall2008sanghavi
- RV Coin Machine, Lec 17 on 10/10_ECE302Fall2008sanghavi
- Sum of independent x,y ~uniform(0,1) on 10/10_ECE302Fall2008sanghavi
- PMF of x coordinate when uniformly dist. in a triangle, Lec 15 on 10/6_ECE302Fall2008sanghavi
- Example for continuous Probability Distributions. Vivek_ECE302Fall2008sanghavi
- Example finding covariance of coin flips, Lec 10/15_ECE302Fall2008sanghavi
- Exam Review Example 10/20_ECE302Fall2008sanghavi
- Balls in Bins_ECE302Fall2008sanghavi
- Markov Inequality Example_ECE302Fall2008sanghavi
- Polls - Chebyshev Inequality_ECE302Fall2008sanghavi
- Unknown bias coin - Geometric Ex_ECE302Fall2008sanghavi
- ML Estimate for Exponential RV_ECE302Fall2008sanghavi
- ML Estimate for Continuous RV on 10/31_ECE302Fall2008sanghavi
- Estimator - coin w/ unknown bias_ECE302Fall2008sanghavi
- ML Extimate explanation_ECE302Fall2008sanghavi
- Confidence Interval Bernoulli RV_ECE302Fall2008sanghavi
- Confidence Interval Example 11/07/08_ECE302Fall2008sanghavi
- Confidence Interval Explanation_ECE302Fall2008sanghavi
- MSE Example_ECE302Fall2008sanghavi
- Linear MMSE Estimator Example (12/1)_ECE302Fall2008sanghavi
- Binary Hypothesis Testing (12/3)_ECE302Fall2008sanghavi
- Hypothesis testting example 12/8_ECE302Fall2008sanghavi
- More on Hypothesis Testing 12/8_ECE302Fall2008sanghavi
Random Stuff
The Monty Hall video Sujay showed in class.
- Look! The students in MA375 are also studying this problem. They call it The game show host problem--Mboutin 11:23, 25 September 2008 (UTC)
The Athena Scientific page from which Introduction to Probability, 2nd Edition can be ordered.
