Introduction to Statistics I: Stat 515


Meeting : TuTh 11:15    LGRT 319


Instructor : Luc Rey-Bellet

 Office :  1423 J LGRT
 Phone :  545-6020
 E-Mail :  luc@math.umass.edu
 Office Hours :   Tuesday 2:30--3:45,   Thursday 9:30--10:30,   or by appointment.


Text:     Introduction to Mathematical Statistics and Its Applications     by R.J. Larsen and M.L. Marx. Prentice Hall. Third edition 2001.

This course is the first part of the Introduction to Statistics two-courses sequence (Stat 515--516). This first part is, in fact, an introduction to Probability Theory which is the natural language not only of Statistics but also of many other problems in natural sciences and social sciences. Our goals in this class are to introduce the basic concepts of probability theory and to apply them to solve a variety of problems. This class requires a working knowledge of Calculus (in particular series and integrals). Among the subject to be discussed in this class


Grade: There will be one midterm exam and one final exam. Homework will be assigned regularly.



Exams:


Homework :

Homework #1   (due on Thursday September 15 ):    
Section 2.2 : page 23   2.2.2, 2.2.4, 2.2.7;   page 26   2.2.10, 2.2.12, 2.2.15;   page 29   2.2.16, 2.2.17.      

Homework #2   (due on Thursday September 22 ):    
Section 2.3 : 2.3.1, 2.3.3, 2.3.4, 2.3.5, 2.3.9,
Section 2.4 : 2.4.2, 2.4.4, 2.4.6, 2.4.7, 2.4.10
Section 2.5 : 2.5.1, 2.5.3, 2.5.6, 2.5.8, 2.5.11

Homework #3   (due on Thursday September 29 ):    
Section 2.6 : 2.6.2, 2.6.5, 2.6.10, 2.6.14, 2.6.16, 2.6.17, 2.6.21, 2.6.27, 2.6.28, 2.6.33, 2.6.34, 2.6.36

Homework #4   (due on Thursday October 6 ):    
Section 2.7  : 2.7.2, 2.7.3, 2.7.10, 2.7.11, 2.7.14, 2.7.16,
Section 2.8  : 2.8.2, 2.8.3, 2.8.4, 2.8.7, 2.8.9, 2.8.10

Homework #5   (due on Thursday October 13 ):    
Section 2.9  : 2.9.2, 2.9.4, 2.9.6, 2.9.10, 2.9.18, 2.9.19, 2.9.23, 2.9.25, 2.9.30, 2.9.31, 2.9.37, 2.9.40, 2.9.44, 2.9.48,

Homework #6   (due on Thursday October 20 ):    
Section 2.10  : 2.10.1, 2.10.4, 2.10.5, 2.10.9, 2.10.10, 2.10.22
Section 3.2  : 3.2.1, 3.2.5, 3.2.6, 3.2.7, 3.2.9, 3.2.10

Homework #7   (due on Thursday October 27 ):    
Section 3.3  : 3.3.1, 3.3.2, 3.3.5, 3.3.7, 3.3.14, 3.3.18, 3.3.21, 3.3.25, 3.3.27
Section 3.4  : 3.4.1, 3.4.2, 3.4.3, 3.4.12, 3.4.16, 3.4.18

Homework #8   (due on Thursday November 3 ):    
Section 3.5  : 3.5.1, 3.5.2, 3.5.3, 3.5.5, 3.5.8, 3.5.10, 3.5.25, 3.5.28 (b),(c),(e), 3.5.30, 3.5.32

Homework #9   (due on Thursday November 10 ):    
Section 3.6  : 3.6.1, 3.6.4, 3.6.5, 3.6.12, 3.6.13 (a),(b),(c), 3.6.14
Section 3.7  : 3.7.1, 3.7.2, 3.7.3, 3.7.5, 3.7.7, 3.7.10, 3.7.18, 3.7.23, 3.7.24.

Homework #10   (due on Thursday November 17 ):    
Section 3.10  : 3.10.1, 3.10.3, 3.10.4, 3.10.7(a),(c), 3.10.12, 3.10.16, 3.10.20, 3.10.22,
Section 3.11  : 3.11.1, 3.11.2, 3.11.3, 3.11.4, 3.11.7, 3.11.9, 3.11.19

Homework #11   (due on Thursday December 1 ):    
Section 3.12  : 3.12.1, 3.12.2, 3.12.5, 3.12.7, 3.12.9
Section 3.13  : 3.13.1, 3.13.2, 3.13.3, 3.13.4, 3.13.5, 3.13.8
Section 3.14.  :3.14.1, 3.14.2, 3.14.3, 3.14.4
Homework #12   (due on Thursday December 8 ):    
Section 4.2  : 4.2.1, 4.2.2, 4.2.4, 4.2.7, 4.2.16, 4.2.17, 4.2.20, 4.2.25, 4.2.26
Section 4.3  : 4.3.1 (a)(b), 4.3.2 (a)(c)(d), 4.3.5(a)(c), 4.3.7, 4.3.8, 4.3.10, 4.3.15, 4.3.18, 4.3.19, 4.3.22, 4.3.23, 4.3.25, 4.3.26, 4.3.30