STAT 549-001: Functional Data Analysis and Wavelets

Wavelets in Statistics and their Applications

Marina Vannucci

Spring 2008

Description:
The final project for the course will consist of either:

(1)an analysis of new data using some of the techniques we have discussed in class
(2)a critical review of the literature on aspects not fully covered in class
(3)a combination of the two above or
(4)anything you would like to propose that would contribute to your understanding of wavelets

Logistics:

By April 7th, 2008 you must provide me with a brief (one page maximum) description of what you plan to do for your final project
The final project is due no later than May 1th, 2008.
The written project should not exceed 10 pages, excluding figures. An appendix with programs may be added. When writing-up your project, you can assume that the reader (myself) is familiar with the material of the course, that is the wavelet terminology and the wavelet methods we will cover, but not with concepts specific to a particular applied area you are addressing in the project (if any). Your project should be self-contained. Try to stick with the wavelet notation and terminology used in class. Define any other symbol or term you may use (that was not covered in class). Add main references at the end.
For projects of type (1) and (3), involving data analysis, make sure to thoroughly describe what you have done, so that your results can be reproducible if desired. Report the values at which you have set the parameters of the procedures used; indicate any software and specific commands you have used to carry out the analyses.
For projects of type (2) make sure you provide me with a critical review of the papers you read. Simple cut-and-paste summaries will not be acceptable. Your work should show some original analysis of the material (is what the authors are proposing clear? is there a rationale for doing that? are there arbitrary or ad-hoc aspects that need justification? anything that can be improved? is what they propose reproducible? anything important that they missed? ...)

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