STA 6466: Assignments

• Assignment 1 (Due Sep 08): Billingsley, exercises 2.3, 2.4, 2.9, 2.11, 2.12.
• Assignment 2 (Due Sep 15): Billingsley, exercises 2.13, 2.17, 3.11, 10.1, 10.2.
• Assignment 3 (Due Sep 29): Billingsley, exercises 2.19, 3.3(a-d,f), 3.12, 11.2. Also do exercise 1.3.1 in the notes (concerning an alternative construction of the completion of a measure space).
• Assignment 4 (Due Oct 13): Billingsley, exercises 12.1(just the one-dimensional case), 13.8, 13.9. Also do the additional exercises given here.
  Note: For 12.1 you will need Cauchy's equation from the appendix (A.20).
• Assignment 5 (Due Nov 14): Billingsley 16.2, 16.3, 16.4, 17.6, 17.7.
• Assignment 6 (Due Nov 21): Billingsley 18.4, 18.6, 18.10 (a), 18.13.
  Note:
  • In 18.4, why is E a product-measurable set? This question is easy to answer, but exercise 18.2 should give you pause for thought.
  • Don't forget to do the measurability part of 18.6.
  • Part (b) of 18.10 was done in class.
  • I suppose there's a measurability question to be answered in 18.13 too, but it's also easy (as in 18.4).

• 2.1, 2.5(b), 2.18
• 3.13, 3.19
• 10.3
• 11.3
• 12.11
• 13.1, 13.2(a,c), 13.6, 13.10, 13.11, 13.12, 13.14
• 16.1, 16.8
• 17.4, 17.8
• 18.1, 18.2, 18.3, 18.8, 18.9, 18.11, 18.14