Course

Course Summary
Credit Type:
Course
ACE ID:
SOEL-0181
Organization's ID:
82512
Location:
Classroom-based
Length:
8 weeks (60 hours)
Dates Offered:
Credit Recommendation & Competencies
Level Credits (SH) Subject
Graduate 3 Mathematical Statistics Ii
Student must achieve a minimum of 80 percent for graduate credit.
Description

Objective:

The course objective is to develop a structural knowledge of estimation theory and hypothesis testing to include point estimation, interval estimation, sufficient statistics, most powerful tests, likelihood ratio tests, decision theory/ risk functions, chi-square and other tests and apply the results of the synthesis across a variety of disciplines that include engineering, statistics, reliability, and statistical quality control.

Learning Outcomes:

  • Evaluate the efficiencies of various estimators
  • Derive univariate and multivariate maximum likelihood estimators (MLE's) for distributional parameters and construct and evaluate tests of hypothesis across a spectrum of statistical models
  • Invoke the Fisher Information measure to evaluate the Rao-Cramer lower bound on the variance of an unbiased estimator

General Topics:

  • Data reduction principles, finding and evaluating estimators, and hypothesis testing and asymptotics, interval estimators and asymptotics
Instruction & Assessment

Instructional Strategies:

  • Audio Visual Materials
  • Classroom Exercise
  • Discussion
  • Learner Presentations
  • Lectures
  • Practical Exercises
Supplemental Materials