# MTH 451 Fall Semester 2005

## Introduction to Mathematical Statistics

Department of Mathematics, U. of Rhode Island

 Instructor Orlando Merino, merino@math.uri.edu, 874-4442, Tyler Hall 220 Office Hrs To be announced Text Introduction to Mathematical Statistics, by R. J. Larsen and M. L. Marx, 3rd Edition, Prentice Hall, ISBN: 0 13 922303 7 Topics Chapters 2, 3 and 4 of the textbook Evaluation Weekly homework (15%), quizzes (15%), two exams (20 % each), a comprehensive final exam (30 %) Note: 50% of the final exam will be on sections discussed after test 2

 Date Planned Topic and/or evaluation Topic Covered Homework Problems Thursday Sep 8 Introduction, 2.2 2.2.1 through 2.2.4, 2.2.9,2.2.10, 2.2.14, 2.2.16, 2.2.18 Tuesday  Sep 13 2.3 + quiz 2.3.4, 2.3.5, 2.3.6, 2.3.10 Thursday Sep 15 2.4, 2.5 2.4.5, 2.4.6, 2.4.7, 2.4.9, 2.5.2, 2.5.6, 2.5.11 Tuesday  Sep 20 2.6 + quiz 2.6.1,  2.6.2,  2.6.10,  2.6.14,  2.6.20,  2.6.28 Thursday Sep 22 2.7, 2.8 2.7.4, 2.7.13,  2.7.15,  2.8.1, 2.8.3, 2.8.7 Tuesday  Sep 27 2.9 + quiz 2.9.5, 2.9.17,2.9.25, 2.9.33abc, 2.9.44, 2.9.45, 2.9.48 Thursday Sep 29 2.10, review 2.10.1, 2.10.3, 2.10.5,  2.10.8, 2.10.10 Tuesday  Oct 4 test 1 -- Thursday Oct 6 3.1, 3.2 3.2.1 through 3.2.12, except for 3.2.8 Tuesday  Oct 11 3.3 + quiz 3.3.1, 3.3.6, 3.3.15, 3.3.17 Thursday Oct 13 3.4, 3.5 (up to p.158) 3.4.3, 3.4.6, 3.4.10, 3.5.1, 3.5.3, 3.5.7,  3.5.10 Tuesday  Oct 18 3.5 (p.158-166) + quiz 3.5.15, 3.5.20, 3.5.23, and Find marginal pdfs for X, Y as in problem 3.5.15 Thursday Oct 20 3.6, 3.7 (p.176-178 only) 3.6.4, 3.6.7, 3.6.8, 3.6.12, 3.7.19, 3.7.22, 3.7.23 Tuesday  Oct 25 3.9, 3.10 + quiz 3.9.17 a,c;  3.10.6, 3.10.10, 3.10.11, 3.10.18, 3.10.20,3.10.27 Thursday Oct 27 3.11 (up to p.213) 3.11.1, 3.11.5, 3.11.8, 3.11.10 Tuesday Nov  1 no class no class Thursday Nov 3 3.8 + quiz 3.8.1, 3.8.2, 3.8.3, 3.8.6 (will not be collected) Tuesday  Nov 8 Exam 2  (3.1-3.11) -- Thursday Nov 10 3.11, 3.12, 3.13 3.11.4, 3.11.14, 3.11.15, 3.11.19, 3.12.3, 3.12.7, 3.13.5 Tuesday  Nov 15 3.14 + quiz 3.14.1, 3.14.2, 3.14.3 Thursday Nov 17 3.15, 3.16 3.15.1, 3.15.2, 3.16.1, 3.16.2, 3.16.7, 3.16.9, 3.16.10, 3.16.16 Tuesday  Nov 22 quiz 3.14-3.16 -- Thursday Nov 24 Thanksgiving Holiday no HW Tuesday  Nov 29 4.2 4.2.2,  4.2.10,  4.2.14,  4.2.16,  4.2.25 Thursday Dec 1 4.3 (up to p. 276) 4.3.6,  4.3.7,  4.3.9,  4.3.15,  4.3.17, 4.3.18 [ans: (X-lambda)/sqrt(lambda) ],  4.3.19 Tuesday  Dec 6 4.3 (p. 277-286) + quiz 4.3.21, 4.3.25, 4.3.26, 4.3.27, 4.3.36, 4.3.39 Thursday Dec 8 4.4, 4.5,  4.6 4.4.1, 4.4.2, 4.5.1, 4.5.2, 4.6.2, 4.6.4