STATS 426 - Introduction to Theoretical Statistics
Section: 001
Term: FA 2018
Subject: Statistics (STATS)
Department: LSA Statistics
Requirements & Distribution:
Waitlist Capacity:
Advisory Prerequisites:
STATS 425 and prior or concurrent enrollment in MATH 217, 412 or 451.
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.

Topic covered include:

  • Random Variables
  • Joint Distributions
  • Induced Distributions
  • Expectation
  • The Law of Large Numbers
  • The Central Limit Theorem
  • Simulation
  • Populations and Samples
  • The Chi-squared, t, and F Distributions
  • Estimation: The Method of Moments
  • 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
  • One Way ANOVA
  • Simultaneous Confidence
  • Two Way ANOVA
  • Categorical Data
  • Simple Linear Regression
  • Multiple Regression

STATS 426 - Introduction to Theoretical Statistics
Schedule Listing
001 (LEC)
MW 2:30PM - 4:00PM
Note: *
003 (LEC)
TuTh 11:30AM - 1:00PM
Note: *
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