Math 5061 - Schedule and Homework - Fall 2017

This a temporary schedule and will be updated as the semester goes.

Week Topic Reading Homework and Exam Handouts
Week 1
08/29
08/31

Probability and Measure
Measurable Functions and Distributions
Chapter 1.1  
Week 2
09/05
09/07
Integration and Convergence
Derivative and Density
Chapter 1.2 HW1
Week 3
09/12
09/14
Moments
Characteristic Functions
Chapter 1.3 HW2
Week 4
09/19
09/21
Conditional Probability
Conditional Distribution and Expectation
Chapter 1.4 HW3
Week 5
09/26
09/28
Independence and Conditional Independence
Large Sample and Convergence Modes, LLN
Chapter 1.5.1 -2 HW4
Week 6
10/03
10/05
Convergence in Distribution
CLT
Chapter 1.5.3 HW5
Week 7
10/10
10/12
Review Chapter 1.5.4- 1.5.5 Midterm
Week 8
10/17 Fall Break
10/19

Solution to Midterm
HW6
Week 9
10/24
10/26
Poisson Process
More on CLT
Chapter 1.5.5-1.5.6  
Week 10
10/31
11/02
Populations, Samples, and Models; Location-Scale Family
Exponential Family
Chapter 2.1 HW7
Week 11
11/07
11/09
Statistics and Sufficiency
Minimal Sufficiency and Ancillary Statistics
Chapter 2.2 HW8
Week 12
11/14
11/16
Complete Statistics
UMVUE
Chapter 3.1 HW9
Week 13
11/21
11/23 (Thanksgiving)
U Statistics and V Statistics
Chapter 3.2, 3.5
Week 14
11/28
11/30
Asymptotic Inference
Chapter 3.3-3.5 HW10
Week 15
12/05
12/07
LSE
Weigthed LSE
Chapter 4.4-4.5 HW11
Final Week 12/12    

  • Reading and Problems in textbook are from: Mathematical Statistics, Jun Shao, 2003.
  • Other readings:
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