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Time Series - STAT - EPFL

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13. Long-range dependence/Threshold models (27/5/13)<br />

• Long-range dependence<br />

• Continuation; threshold models.<br />

• Work on mini-project<br />

14. Discrete time series/Wrap-up (Reading)<br />

Final mark<br />

• Basic ideas; GLMs; Special models; Markov chain analysis<br />

• Hidden Markov models and Gibbs sampler<br />

• Work on mini-project<br />

The final mark will be determined as follows:<br />

• there will be a data analysis project, to be undertaken in pairs, involving analysis of a<br />

time series data set (to be found by the students concerned, but validated by me), using<br />

R. A report on the data is to be handed in by 7 June 2013. More about this may be<br />

found below;<br />

• a final exam (probably with 5 questions, of which full correct answers to 4 will give full<br />

marks);<br />

• let E be the mark for the final exam (≤ 3) and P be that for the project (≤ 2). Then the<br />

mark M for the course is 1+E+P rounded to the nearest half-mark in {1,1.5,...,5.5,6}.<br />

Data analysis project<br />

Proposal<br />

As soon as possible, I would like to see a brief proposal about your project, consisting of:<br />

• a description of thedata that you plan to analyse, includingsomesuitable plots andmaybe<br />

some other data exploration;<br />

• an indication of the source of the data set;<br />

• the objectives of your investigation;<br />

• a brief overview of the analyses you anticipate completing.<br />

Bear in mind that this will count for 40% of the course mark, and the number of credits for this<br />

course is 4, so this is much less work than a semester project.<br />

The proposal should be made by 8 April 2013 at the very latest, and the earlier the<br />

better—then I can give feedback, and you can start work.<br />

Data<br />

You could look through books in the library, check out links on the course web page, or look<br />

at the many times series data sets available in R. It is best if the data comprise a few hundred<br />

equally-spaced observations, but you should try to find something that interests you.<br />

3

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