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UNIVERSITY OF SOUTH CAROLINA
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512—Mathematical Statistics. (3) (Prereq: STAT 511 or MATH 511 with a grade of C or higher) Sampling theory, discrete and continuous transformations, t and F distributions, independence of sample mean and S2; limiting distributions, central limit theorem; quality of estimators, testing statistical hypotheses, confidence intervals, Bayesian estimates.

Course Homepage: Spring 2004 (Past Pages: Spring 2001)

Usually Offered: Spring and Summer Semesters

Purpose: To provide a strong foundation in mathematical statistics for understanding the concepts and development of statistical methodology, and to prepare students for further study of statistical inference.

Current Textbook: Probability and Statistical Inference (6th edition), R. V. Hogg and E. A. Tanis, Prentice Hall, 2001.

 
Topics Covered
Chapters
Time        
Advanced Topics in Probability:
Chi-square distribution, functions of a random variable, transformations, mixed distributions, order statistics
4.3,
4.5-4.6,
5.5-5.6
3 weeks
Distribution Theory:
Sampling distributions, central limit theorem, limiting distributions, t and F distributions
6.3-6.7
4 weeks
Estimation:
Point estimators, maximum likelihood, confidence intervals, sample size determination
7.1-7.7
3 weeks
Advanced Topics in Statistical Inference:
Bayes estimators, testing hypothesis with proportions
9.5, 8.1
3 weeks

The above textbook and course outline should correspond to the most recent offering of the course by the Statistics Department. Please check the current course homepage or with the instructor for the course regulations, expectations, and operating procedures.  

Contact Faculty: Joshua Tebbs
(Last Updated: July 11, 2008)

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