WEEK 1
Chapter 7 Central Limit Theorem
Theorem 7.1
Section 4.9 Moment Generating Functions

WEEK 2
Chi squared distribution
T distribution
F distribution

WEEK 3
Proof of the Central Limit Theorem using moment generating functions
Continuity correction for the binomial model
Exact confidence interval for the exponential model
Coefficient of variation

WEEK 4
Chapter 8 Estimation
Covariance, correlation (Section 5.7 and 5.8)
Bias and risk (MSE)
Problems 8.1, 8.2, 8.3
Maple worksheet for Problem 8.3

WEEK 5
Problems 8.4, 8.6
Maple worksheet for Problem 8.6, 8.6b
Problem 8.9 (Homework and in class)
Maple worksheet for Problem 8.9
Problem 8.10 (power distribution)
Maple worksheet for Problem 8.10

WEEK 6
S^2 is an unbaised estimator for the variance (Example 8.1)
Problem 8.11 (Pareto distribution)
Maple worksheet for Problem 8.11
Problem 8.12 (Expectation of S)
Maple worksheet for Problem 8.12
8.13 (Homework and in class)
Maple worksheet for Problem 8.13
8.14, 8.15, 8.16,
Maple worksheet for Problem 8.16
8.34
Maple worksheet for Problem 8.34

WEEK 7
Minimum absolute deviation
Monday March 6 - Test 1

WEEK 8
Estimating the midpoint of a uniform distribution [a, b]
Maple worksheet for estimating the midpoint of uniform distribution on [a, b]
Risk for the sample variance for the normal and exponential distributions
Maple worksheet for the Risk of the sample variance for the normal distribution
Maple worksheet for the Risk of the sample variance for the exponential distribution
Error of estimation

WEEK 9
Problem 8.17, 8.19, 8.20, 8.24, 8.28, 8.34*
Confidence intervals
Exact CI for beta for the exponential distribution
Exact CI for p for the binomial distribution
Exact CI for a and b for the uniform distribution
Problem 8.35*, 8.36, 8.39*
Problem 8.40, 8.42, 8.45, 8.48, 8.54, 8.55
Selecting the sample size
Problem  8.56, 8.57, 8.58, 8.61

WEEK 10
Exact CI for mu and sigma for the normal distribution
Problem 8.66, 8.71, 8.77*
Problem 8.79*, 8.84
Chapter 9 Methods of Estimation
Moment estimators
Maximum Likelihood Method

WEEK 11
Read: Sufficient statistics
Read: Rao-Blackwell Theorem
Read: Lehmann-Scheffe Method
Cramer-Rao inequality
Maximum Likelihood Problems
Censored exponential data
Weighted average
Read: Ordered statistics for the exponential model
Read: Exact confidence intervals for censored exponential model

Chapter 11 Linear Models and Estimation by Least Squares
Simple Linear Regression Model
Maximum Likelihood estimates for the Simple Linear Regression Model
The distribution of the estimators for the simple linear regression model

WEEK 12
Confidence interval for predicted values
Minitab worksheet for Problem 11.1

Chapter 10 Hypothesis Testing
Standard Hypothesis Tests (one sample binomial, two sample binomial, one sample continuous, two sampe continuous, one sample normal, two sample normal)
Type I and Type II error
Power
Finding the sample size
Neyman-Pearson Lemma
Test 2 due

WEEK 13
Two sample exponential
Uniform verses triangle distribution
t-test