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Department:
MATH
Course Number:
4261
Hours - Lecture:
3
Hours - Lab:
0
Hours - Recitation:
0
Hours - Total Credit:
3
Typical Scheduling:
Every fall semester
Sampling distributions, Normal, t, chi-square and F distributions. Moment generating function methods, Bayesian estimation and introduction to hypothesis testing
Prerequisites:
Course Text:
At the level of Introduction to Mathematical Statistics, 7th edition by Hogg, Craig, and McKean
Topic Outline:
- Sampling distributions (including chi-square, t, F, and distributions of order statistics)
- Change-of-variable method and moment-generating-function methods
- Limiting distributions
- Point and interval estimations including the maximum likelihood method and Bayesian estimation
- Hypothesis testing including the Neyman-Pearson fundamental lemma and UMP tests