October 4-5

This week, I started with the proof of Dominated Convergence Theorem for in probability case and reached to the end of Section 5.5. I solved Exercises 4.3,  4.7, Problem 4 (a-b) of the  December 2019 Exam and 2 additional problems about convergence theorems. Tentative plan of the next week is to finish Problem 4 by solving (c-d) parts and then to start with Section 5.6. I will follow the book up to end of Theorem 6.4. Planned exercises are 5.10, 5.11 and 5.12.