STATS 426 - Introduction to Theoretical Statistics
Section: 001
Term: WN 2008
Subject: Statistics (STATS)
Department: LSA Statistics
Requirements & Distribution:
Waitlist Capacity:
Advisory Prerequisites:
STATS 425.
This course counts toward the 60 credits of math/science required for a Bachelor of Science degree.
May not be repeated for credit.
Primary Instructor:

This course covers the basic ideas of statistical inference, including sampling distributions, estimation, confidence intervals, hypothesis testing, regression, analysis of variance, nonparametric testing, and Bayesian inference. The sequence of STATS 425/426 serves as a prerequisite for more advanced Statistics courses, regular homework and a final exam.

Random Variables
Joint Distributions
Induced Distributions
The Law of Large Numbers
The Central Limit Theorem
Populations and Samples
The Chi-squared, t, and F Distributions
Estimation: The Method of Moments
Maximum Likelihood Estimation
More on Maximum Likelihood Estimation
Bias, Variance, and MSE
The Cramer Rao Inequality
Exponential Families and Sufficiency
Confidence Intervals
Approximate Confidence Intervals
The Bootstrap
Asymptotics of the MLE
Tests and Confidence Intervals
Neyman Pearson
Likelihood Ratio Tests
Chi-Squared Tests
Goodness of Fit Tests
The Sample Distribution Function
Decision Analysis
Bayesian Inference
The Two Sample Problem
More on the Two Sample Problem
Rank Tests
Simultaneous Confidence
Categorical Data
Simple Linear Regression
Multiple Regression

STATS 426 - Introduction to Theoretical Statistics
Schedule Listing
001 (LEC)
TuTh 1:00PM - 2:30PM
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