STAT 340
Probability and Inference 2
Statistics
College of Physical and Mathematical Sciences
Course Description
Random variables; transformations; estimation and hypothesis testing; sampling distributions; central limit theorem; law of large numbers.
When Taught
Fall and Winter
Min
3
Fixed
3
Fixed
3
Fixed
0
Recommended
Stat 123 and Stat 124
Title
Transformations
Learning Outcome
<p style="-moz-user-select: text;">Find the distribution of a transformation of random variables, including the Chi-squared and derived distributions t and F.</p>
Title
Sampling Distributions
Learning Outcome
<p style="-moz-user-select: text;">Explore the sampling distributions for means and totals of random samples from common distributions.</p>
Title
Convergence
Learning Outcome
<p style="-moz-user-select: text;">Apply convergence in probability and distribution to prove the Law of Large Numbers and participate in proving the Central Limit Theorems for means and proportions.</p>
Title
Sufficiency
Learning Outcome
<p style="-moz-user-select: text;">Find sufficient statistics in one-parameter problems.</p>
Title
Point Estimation
Learning Outcome
<p>Derive method of moments, maximum likelihood, and Bayesian estimators.</p>
Title
Interval Estimation
Learning Outcome
<p>Construct confidence intervals using pivots and credible intervals.</p>
Title
Hypothesis Testing
Learning Outcome
<p>Apply the Neyman-Pearson lemma to derive the critical region for problems involving simple hypotheses.</p>
Title
Evaluation
Learning Outcome
<p>Evaluate point estimators with respect to bias, variance, and MSE.</p>
Title
Simulation
Learning Outcome
<p>Examine sampling distributions and evaluate estimators using simulation.</p>
Title
Critical Thinking
Learning Outcome
<p>Increase analytical confidence and critical thinking skills.</p>
