STAT 319 - THEORY OF STATISTICS 2

Credit Hours: 3 (2+1)

Beneficiaries: College of Science.    

Text Book: 
Introduction to Mathematical Statistics, Sixth Edition, by Hogg, McKean, and Craig, Prentice Hall

Reference Books:  
1-     Introduction to Theory of Statistics,  A. Mood, F. Graybill and B. Boes,  McGrow-Hill.
2-     Mathematical statistics, Freund & Walpole, Prentice-Hal
3-     Introduction to Mathematical Statistics, Paul Hoel, Wiley

Course Scope Contents: 
Interval estimation (two population cases): Confidence interval estimators - Pivotal methods - Hypotheses Testing: Type I and Type II error - power of the tests - Most powerful test - Neymann-pearson lemma - asymptotic tests - unbiased test - uniformly most powerful test. Monotone tests – Neymann Pearson theorem - power curves - Likelihood ratio tests - asymptotic distribution of likelihood ratio statistics - The Sequential Probability Ratio Test - Goodness of-fit Tests - Bayesian testing hypotheses.

Prerequisite: STAT 223 + MATH 207
Companion Requirement: STAT 315
 

Marks Distribution: 

• Assignments and projects: 10 marks.
• First Exam: 25 marks.
• Second Exam: 25 marks.
• Final Exam: 40 marks.