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ST794 Advanced Statistical Inference - II
Spring Session, 2009 Expect frequent changes | ||||||
Lec
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Date
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Lecture coverage
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Homework/Reading assignments
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1 |
Jan 08 |
Th |
Statistical Models and Identifiability |
No HW |
Section 1.2 of B&D(2001) |
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2 |
Jan 13 |
Tu |
Exponential family, Location-scale family, Mixture distributions |
No HW |
Section 2.1 of Shao(2003) |
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3 |
Jan 15 |
Th |
Sufficiency, Completeness and Ancillarity |
Section 2.2 of Shao(2003) |
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4 |
Jan 20 |
Tu |
Sufficiency and Completeness of special family of distributions |
No HW |
Section 2.2 of Shao(2003) |
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5 |
Jan 22 |
Th |
Invariance |
Section 4.2 of Shao(2003) and additional notes |
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6 |
Jan 27 |
Tu |
Unbiasedness |
no HW |
Section 3.1 of Shao(2003) |
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7 |
Jan 29 |
Th |
Information inequalities |
Section 3.1.3 of Shao (2003) and additional notes |
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8 |
Feb 3 |
Tu |
U-statistics |
Section 3.2 of Shao(2003) |
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9 |
Feb 5 |
Th |
The Projection method |
Section 3.2.3 of Shao(2003) |
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10 |
Feb 10 |
Tu |
Statistical Decision Theory: Admisibility and Minimaxity |
Section 2.3 of Shao (2003) |
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11 |
Feb 12 |
Th |
Bayes decisions and estimators |
Section 4.1 of Shao(2003) |
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12 |
Feb 17 |
Tu |
Admissibility and Minimaxity (revisited) |
Section 4.3 of Shao(2003) |
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13 |
Feb 19 |
Th |
Simultaneous estimation and shrinkage estimators |
Section 4.3.3 of Shao(2003) |
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14 |
Feb 24 |
Tu |
Worked out examples |
See additional notes |
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15 |
Feb 26 |
Th |
Problem solving session for midterm |
Sections 2.1-2.3, 3.1, 3.2, 4.1, 4.3 of Shao (2003) |
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16 |
Mar 3 |
Tu |
Spring Break |
No HW |
No classes |
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17 |
Mar 5 |
Th |
Spring Break |
No HW |
No Classes |
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18 |
Mar 10 |
Tu |
Midterm Exam: 10:15-11:30 |
No regular class |
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19 |
Mar 12 |
Th |
Midterm exam solution |
no HW |
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20 |
Mar 17 |
Tu |
Nonparametric methods: empirical distribution functions |
no HW |
Section 5.1 of Shao(2003) |
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21 |
Mar 19 |
Th |
Empirical likelihood |
Section 5.1.2 of Shao(2003) |
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22 |
Mar 24 |
Tu |
Density estimation |
no HW |
Section 5.1.3 of Shao(2003) |
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23 |
Mar 26 |
Th |
Nonparametric regression |
Additional notes |
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24 |
Mar 31 |
Tu |
Consistency |
Additional notes |
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25 |
Apr 2 |
Th |
Rate of converegence |
Additional notes |
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26 |
Apr 7 |
Tu |
Stone's result |
Additional notes |
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27 |
Apr 9 |
Th |
Application of Stone's result |
Additional notes |
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28 |
Apr 14 |
Tu |
Nonparametric estimation for censored data |
Additional notes |
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29 |
Apr 16 |
Th |
Nonparametric regression based on censored data |
Additional notes |
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30 |
Apr 21 |
Tu |
Worked our examples |
Addional notes |
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31 |
Apr 23 |
Th |
Problem solving session |
Discussions and feedback |
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| FE | May 5 |
Tu |
Final exam |
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Syllabus: Lectures 1-30 |
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Last updated on: January 8, 2009