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a pdf version of syllabus - NCSU Statistics

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ST 790: Advanced Bayesian Inference http://www4.stat.ncsu.edu/~sghosh2/TEACHING/st790abi/<br />

Course: ST790C: Advanced Bayesian Inference<br />

Time: TH from 11:45AM to 1:00PM<br />

Place: 1108 SAS Hall<br />

ST790-001<br />

Advanced Bayesian Inference<br />

Spring Session, 2013<br />

(a <strong>pdf</strong> <strong>version</strong> <strong>of</strong> <strong>syllabus</strong>)<br />

Instructor: Sujit Ghosh<br />

Email: sujit.ghosh@ncsu.edu<br />

Telephone 515-1950<br />

Office: 5112 SAS Hall<br />

Office<br />

hours:<br />

Tue/Thu 3:00 - 5:00 p.m. or by appointment<br />

Class links: Lectures Slides| Course resources| Ask a question (use Message board)<br />

Course prerequisite: ST522 and corequisite: ST740<br />

Suggested Texts:<br />

Robert, C. and Casella, G. (2004). Monte Carlo Statistical Methods. Springer, New<br />

York (ISBN 978-0-387-21239-5)<br />

Ghosh, J.K. and Ramamoorthi, R.V. (2003). Bayesian Nonparametrics. Springer,<br />

New York (ISBN 978-0-387-95537-7)<br />

Homework: Homework will normally be assigned at the end <strong>of</strong> class on alternate<br />

Tuesdays. Homeworks will not be graded.<br />

Examinations: There will be no in-class examinations. Students are however<br />

required to submit two project works.<br />

Project schedule:<br />

Midterm<br />

project<br />

Final<br />

project<br />

Friday, March 01<br />

(Abstract due<br />

March 22) Friday,<br />

May 03<br />

by<br />

5:00p.m.<br />

by<br />

5:00p.m.<br />

Electornic<br />

submission<br />

Electronic<br />

Submission +<br />

In-class<br />

presentations<br />

Project<br />

description<br />

Project<br />

description<br />

Asking questions: If you have questions about lectures, assignments, exams,<br />

procedures or any other aspect <strong>of</strong> the course please log onto<br />

http://courses.ncsu.edu/st790/, and click on "Message Board". Then click on "Post<br />

New Topic", enter your question in the Message box, and click on "Submit<br />

Message". You will receive a response from me or another student. Everyone in<br />

the class will be able see your question and the response.<br />

Anonymous mail: If you wish to send me an anonymous suggestion or<br />

reminder, send email to ST790-001@wolfware.ncsu.edu. The system will remove<br />

mail headers, but you must remember to remove your signature and other<br />

identifying information.<br />

Grading System: Final grade will be based on:<br />

Course objectives:<br />

This course is an experimental<br />

<strong>of</strong>fering focused on the Bayesian<br />

inferential methods with<br />

emphasis on theory and<br />

applications. The essence <strong>of</strong><br />

Bayesian methods is based on<br />

the concept <strong>of</strong> updating evidence<br />

using formal probabilistic rules.<br />

This course will begin with a<br />

discussion <strong>of</strong> foundational<br />

issues, and then progress to its<br />

use as a general paradigm for<br />

statistical methodology. Recent<br />

developments <strong>of</strong> computational<br />

tools have brought Bayesian<br />

treatment <strong>of</strong> realistic, complex<br />

problems within the reach <strong>of</strong><br />

practicing statisticians. Some <strong>of</strong><br />

the more specialized<br />

computational techniques will be<br />

discussed as well as their<br />

implementation for important<br />

applications. In recent years<br />

substantial progress has been<br />

made in developing a theory for<br />

infinite dimensional models and<br />

toward the implementation <strong>of</strong><br />

the Bayesian computational<br />

methods for variable<br />

dimensional models. This course<br />

will illustrate a variety <strong>of</strong><br />

theoretical and computational<br />

methods, simulation techniques,<br />

and hierarchical models suitable<br />

for analyzing independent and<br />

correlated data. The three broad<br />

topics on the course include (i)<br />

Monte Carlo methods based on<br />

Markov Chain theory, (ii)<br />

Bayesian large sample methods<br />

and (iii) Bayesian nonparametric<br />

models.<br />

Students taking the course will<br />

have completed both ST522<br />

and/or ST740.<br />

Syllabus: In ST790-ABI we<br />

shall complete the following<br />

concepts.<br />

Basics Bayesian Inference<br />

(about 5 lectures): See<br />

lecture slides<br />

1 <strong>of</strong> 2 Printed by Sujit Ghosh 12/17/2012 3:43 PM


ST 790: Advanced Bayesian Inference http://www4.stat.ncsu.edu/~sghosh2/TEACHING/st790abi/<br />

Final Semester Score = (CP + 4xMP + 5xFP)/10<br />

where CP is based on class participation and MP and FP are the scores (out <strong>of</strong><br />

100) on the midterm and the final projects, respectively. Grades will be assigned<br />

on the +/- scale.<br />

Auditing: Auditors are expected to attend class regularly and submit midterm on<br />

the same schedule as the other students. The final grade for auditors (AU or NR)<br />

will be based on their midterm scores. A midterm score <strong>of</strong> 75 or better is required<br />

for an AU.<br />

Policy on Academic Integrity: The University policy on academic integrity is<br />

spelled out in Code <strong>of</strong> Student Conduct. For a more though elaboration see the<br />

<strong>NCSU</strong> Office <strong>of</strong> Student Conduct website. For this course group work on homework<br />

is encouraged. However copying someone else's work and calling them your own<br />

is plagiarism, so the work you turn in should be your own.<br />

Students with Disabilities: Reasonable accommodations will be made for<br />

students with verifiable disabilities. In order to take advantage <strong>of</strong> available<br />

accommodations, students must register with Disability Services for Students<br />

(DSS), 1900 Student Health Center, CB# 7509, 515-7653.<br />

Reference material (Have requested these be on reserve at DH Hill<br />

Library):<br />

Carlin, B. P. and Louis, T. A. (2008). Bayesian Methods for Data Analysis (Third<br />

Edition), CRC Press, New York.<br />

Marin, J. M. and Robert, C. P. (2007). Bayesian Core: A practical Approach to<br />

Computational Bayesian <strong>Statistics</strong>, Springer, New York.<br />

Monte Carlo methods for<br />

Bayesian computation<br />

(about 10 lectures):<br />

Materials are primarily<br />

based on the following<br />

sections <strong>of</strong> the Robert &<br />

Casella's book titled<br />

"Monte Carlo Statistical<br />

Methods:"<br />

Chap.2: 2.1.2, 2.3,<br />

2.4<br />

Chap.3: 3.2, 3.3.1,<br />

3.3.2<br />

Chap.4: 4.1, 4.2, 4.3<br />

Chap.6: 6.2, 6.3.1,<br />

6.4.3, 6.5, 6.6, 6.7,<br />

6.9.3, 6.9.4<br />

Chap.7: 7.2, 7.3,<br />

7.4, 7.5<br />

Chap.8: 8.1, 8.2, 8.3<br />

Chap.9: 9.1.2, 9.2.2,<br />

9.2.3<br />

Chap.10: 10.1.1,<br />

10.1.2, 10.2.1,<br />

10.2.2<br />

Bayesian Large Sample<br />

Methods (about 3<br />

lectures): Materials are<br />

primarily based on the<br />

following sections <strong>of</strong> the<br />

Ghosh and Ramamoorthi's<br />

Book:<br />

Chap.1: 1.2.2, 1.3<br />

(excluding 1.3.3),<br />

1.4<br />

Bayesian Nonparametric<br />

Methods (about 10<br />

lectures): Materials will be<br />

primarily based on the<br />

following sections <strong>of</strong> an<br />

upcoming book by Ghoshal<br />

& van der Vaart:<br />

Chap.1: 1.1.2, 1.2<br />

Chap.2: 2.1, 2.2,<br />

2.3, 2.4.2, 2.4.4<br />

Chap.3: 3.1, 3.2,<br />

3.5, 3.6<br />

Chap.4: 4.1, 4.4,<br />

4.5, 4.6, 4.8.1, 4.9.2<br />

Last updated on: December 17, 2012<br />

2 <strong>of</strong> 2 Printed by Sujit Ghosh 12/17/2012 3:43 PM

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