HOMEWORK ASSIGNMENTS FOR STAT 712:

DATE ASSIGNED            PROBLEMS

Aug. 26             E. #1.2.7
                    T.1.  Show that condition (3) for a sigma-field
                          can be replaced by the intersection of the
                          sequence of events, Aj, j = 1, 2, ... .

Aug. 28             E. #2.1.1, 2.1.2, 2.1.5, 2.2.4, 2.2.13
                    T. #2.1.4, 2.2.2, 2.2.8, 2.2.11, 2.2.12 (Due with T.1 
                        on Monday, Sept. 9)

Sept. 4             E. #2.3.1, 2.3.7, 2.4.1, 2.4.2, 2.4.4, 2.4.5, 2.4.20
                    T. #2.3.3, 2.3.9, 2.4.17, 2.4.25, 2.4.29 
                       (Due on Monday, Sept. 16)

Sept. 16            E. #3.2.1, 3.2.2, 3.2.4, 3.2.5, 3.2.6, 3.2.7, 3.2.16
                    T. #3.2.3, 3.2.15, 3.2.19 (Due Wed., Sept. 25)

Sept. 18            E. #3.3.1, 3.3.3, 3.3.7, 3.3.13(i,iii), 3.3.19
                    T. #3.3.8, 3.3.15, 3.3.21 (with 3.2.3, 3.2.15 and
                        3.2.19, due Wednesday, Sept. 25)

Sept. 25            E. #4.2.1, 4.2.3, 4.2.4

Oct. 2              E. #4.1.1, 4.1.10, 4.1.12
                    T. #4.1.2, 4.1.3(i & iii), 4.1.15 (Due Wednesday, 
                       October 9 with others to be assigned)

Oct. 7              E. #4.2.5
                    T. #4.2.4 (Due Wed. Oct. 9 with 4.1.2,4.1.3(i & iii),4.1.15)

Oct. 9              E. #4.3.1 (for 3.2.15 and 3.3.13i & iii)
                    T. #4.3.2, 4.3.3 (Due TBA)

Oct. 10             E. #5.1.3, 5.1.6, 5.1.10, 5.1.13, 5.2.2(i), 5.2.7, 5.2.11
                    T. #5.1.7, 5.1.12., 5.1.20, 5.2.9, 5.2.13 (Due Monday,
                       October 21, with #4.3.2, 4.3.3)

Oct. 21             E. #5.3.4, 5.5.1, 5.5.10
                    T. #5.3.2, 5.3.3, 5.4.3, 5.5.6 (Due Monday, Oct. 28)

Oct. 28             E. #6.5.1, 6.5.2 (M(t) only)
                    T. #6.5.4, 6.5.8 (Due Monday, Nov. 4)

Oct. 30             E. #6.5.17, 6.3.5, 7.1.2, 7.1.4, 7.1.10 (for mgf's)
                    T. #6.5.10, 6.3.3, 7.1.7(hint: use mgf's) (Due Mon. Nov.4)

Nov. 4              E. #7.2.1, 7.2.2

Nov. 6              E. #7.3.2, 7.3.3, 7.3.4, 7.3.5, 7.3.6

Nov. 13             E. #8.1.2, 8.1.3
                    T. #8.1.5(i & ii)  (Due Wednesday, Nov. 20)

Nov. 13-18          E. #8.3.2, 8.3.4, 8.3.5, 8.3.10
                    T. #8.3.8, 8.3.11, 8.3.14 (Due Wednesday, Nov. 20)

Nov. 20             T. #8.4.3, and
                       T.8.2: For n i.i.d. random variables, Xj ~Poisson(lambda),
                       j = 1, 2, ..., n, what is the limiting distribution 
                       of (X-bar)squared? (Due Wed., Dec.4, with others below.)

Nov. 25             E. #9.1.3(pdf method only), 9.1.10, 9.1.12
                    T. #9.1.1, 9.1.4(both cdf and pdf methods), 9.1.7
                       (Due Wed., Dec. 4, with T.8.2 above)

Dec. 2-4            E. #9.2.1, 9.2.3, 9.2.4, 9.2.6, 9.2.10(a-b)