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Course Information
STAT:5100 (22S:193) Statistical Inference I
Luke Tierney
Date:
Fall 2015
Course Information
Outline
Reading and Homework
Exams and Grading
EMail and World Wide Web
Week 1
Monday, August 24, 2015
Review Course Outline
Review of Mathematics Prerequisites
Introduction
Reading
Wednesday, August 26, 2015
Basics of Probability
Set Theory
Reading
Friday, August 28, 2015
A Basic Definition of Probability
Consequences of the Definition
Counting and Probability
Reading
Week 2
Monday, August 31, 2015
Counting
Reading
Wednesday, September 2, 2015
More Counting and Examples
Reading
Friday, September 4, 2015
Counting and Probability
Reading
Week 3
Wednesday, September 9, 2015
Countably Infinite Sample Spaces
Countably Additive Probability
Independence
Reading
Friday, September 11, 2015
Conditional Probability
Reading
Week 4
Monday, September 14, 2015
Conditional Probability Examples
Continuous Sample Spaces
Reading
Wednesday, September 16, 2015
Random Variables
Distributions
Reading
Friday, September 18, 2015
Characterizing Discrete Distributions
Reading
Week 5
Monday, September 21, 2015
Characterizing Continuous Distributions
Examples of Probability Distributions
Independent Random Variables
Reading
Wednesday, September 23, 2015
Functions of Random Variables
Reading
Friday, September 25, 2015
Functions of Random Variables
Change of Variables Formula
Probability Integral Transform
Reading
Week 6
Monday, September 28, 2015
Expected Values
Properties of Expectation
Reading
Wednesday, September 30, 2015
Moments, Variance, and Standard Deviation
Reading
Friday, October 2, 2015
First Midterm Exam
Week 7
Monday, October 5, 2015
Moment Generating Functions
Reading
Wednesday, October 7, 2015
Properties of Moment Generating Functions
Background on Integration
Reading
Friday, October 9, 2015
Binomial Distribution
Negative Binomial Distribution
Hypergeometric Distribution
Reading
Week 8
Monday, October 12, 2015
Poisson Distribution
Uniform Distribution
Gamma Distribution
Reading
Wednesday, October 14, 2015
Normal Distribution
Beta Distribution
Parametric Families
Reading
Friday, October 16, 2015
Parametric Families
Multiple Random Variables
Reading
Week 9
Monday, October 19, 2015
Multiple Discrete Random Variables
Jointly Continuous Random Variables
Independent Random Variables
Reading
Wednesday, October 21, 2015
Expectation and Independence
Covariance and Correlation
Reading
Friday, October 23, 2015
Bivariate and Multivariate Normal Distributions
Linear Combinations of Random Variables
Conditional Distributions
Reading
Week 10
Monday, October 26, 2015
Properties of Conditional Expectation
Hierarchical Models
Reading
Wednesday, October 28, 2015
Simple Bayesian inference
Change of Variables
Reading
Friday, October 30, 2015
Change of Variables
Reading
Week 11
Monday, November 2, 2015
Change of Variables
Multinomial Distribution
Reading
Wednesday, November 4, 2015
Inequalities
Reading
Friday, November 6, 2015
Second Midterm Exam
Week 12
Monday, November 9, 2015
Inequalities
Populations and Random Samples
Reading
Wednesday, November 11, 2015
Statistics
Sampling Distributions
Normal Populations
Reading
Friday, November 13, 2015
Normal Populations
Order Statistics
Reading
Week 13
Monday, November 16, 2015
Approximations and Limits
Reading
Wednesday, November 18, 2015
Convergence Concepts
Reading
Friday, November 20, 2015
Convergence in Distribution
Reading
Week 14
Monday, November 30, 2015
Convergence in Distribution
Reading
Wednesday, December 2, 2015
Applications and Limit Theorems
Reading
Friday, December 4, 2015
Applications and Limit Theorems
Reading
Week 15
Monday, December 7, 2015
Applications and Limit Theorems
Reading
Wednesday, December 9, 2015
Applications and Limit Theorems
Reading
Friday, December 11, 2015
Examples
About this document ...
Luke Tierney 2015-12-17
