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# Practicals Extreme Value Statistics - ATHENS 
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AT THE BEGINNING OF THE PRACTICAL FOR SPATIAL EXTREMES:
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- go to the `terminal` tab,
- enter the following command `git lfs pull Practicals/*`
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You will find in this `renkulab` project all practicals and the material necessary for the course's project.
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For the latter, you need to form pairs and fill the sheet with letter and the physical quantity you want to analyze:
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- Wind speed,
- Rainfall,
- Temperature.
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More details about the data can be found in the Data section.
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## Project instructions:
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- Load your database, which depends on the number of your group;
- Explore your database (descriptive statistics), following the example given in `NO2.Rmd`:
    - Do not hesitate to go further than in NO2.Rmd (e.g. plot histograms, spot anomalies, remove trends, etc.),
    - This exploratory analysis should help you assess if your data satisfies the classical assumptions in Extreme Value Theory (e.g. stationarity, mixing, existence of a maximum domain of attraction, etc.),
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- Perform a full univariate extreme value analysis for the variable and locations you were assigned:
    - Both block-maxima and peaks-over-threshold can be considered.
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    - Is there a maximum domain of attraction ? Is the variable heavy-tailed ?
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    - Estimate the tail index / shape parameter, deduce extreme probabilities and extreme quantiles
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- Try to interpret your results. 
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- Intiatives going beyond the `NO2.Rmd` example, such as multivariate modelling and / or spatial analysis will be expected. Refer to lessons of Day 2, Day 3 and Day 4 to find relevant tools.
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If you do not know what to conclude from your results, you can try to see what classical distributions would give: simulate artificial data sets from a GEV/GPD (choose the parameters wisely), and see what the resulting statistics would look like...
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## Data and code
We propose three different data sets:
- Rainfall station measurements in the state of Victoria, AU;
- Wind speed over western Europe;
- Temperature measurements in the South of France.
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The provided data file entitled `team_number.RData`, include three objects:
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- `dataset`: data frame including the measurements from five locations;
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- `dates`:dates for each row of the data.frame;
- `coordinates`: geographical coordinates for each of the locations.
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You can find the corresponding code to display the location of your measurements inthe folder `Code_Example`.

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For a block maxima analysis, you will need to first define, e.g., yearly/monthly maxima, and compute blocks from the original data. 
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## Deadline and grading
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The project is be due on Thursday, March 24th, 2022, at 23:59 CET (UTC+1). To hand-out the project, simply send by email to `hans.wackernagel[at]mines-paristech.fr` the link of the renkulab project containing your report. Only one report per team is necessary.
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We will dowload the souce code and corresponding rendered htlm/pdf file that will be used to grade the project.
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## Dataset attribution and pairs
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| Number	|GROUP|	DATA|	Last name|	First name |
| --- | -------- | -------- |-------- | -------- |
|1|	A|	Wind |	GRAMA |	Diandra- Sorana |
|1|	A|	Wind |	ARORA |	Chaitanya |
|2|	B|	Rainfall |	KLEJCHOVÁ |	Abigail |
|2|	B|	Rainfall |	TRYBUS |	Rafał |
|3|	C|	Rainfall |	COTILLARD |	Tristan |
|3|	C|	Rainfall |	DEJEAN DE LA BÂTIE |	Marguerite |
|4|	D|	Temperature |	IZDEBSKI |	Maciej |
|4|	D|	Temperature |	KOCHAŃSKI |	Łukasz |
|5|	E|	Temperature |	MARCHESI |	Maria |
|5|	E|	Temperature |	ABERGO |	Chiara |
|6|	F|	Rainfall |	KALIANKO |	Vit |
|6|	F|	Rainfall |	VADLEJCH |	Martin |
|7|	G|	Rainfall |	MARQUES	| Nuno |
|7|	G|	Rainfall |	PINTO |	João |
|8|	H|	Temperature |	CRUZ BANDEIRA FERNANDES |	Afonso |
|8|	H|	Temperature |	LI	| JInze |
|9|	I|	Rainfall |	AUROUSSEAU	| Tanguy |
|9|	I|	Rainfall |	GIBOUREAU	| Nils |
|10|J|	Temperature |	FERRARA	| Francesco |
|10	|J|	Temperature |	MORESCHI |	Jacopo |
|11	|K|	Temperature |	SUSINI |	Garance|
|11	|K|	Temperature |	LEONE |	Leonardo |
|12	|L|	Wind |	SEFCIK |	Jan |
|12	|L|	Wind |	ZID |	Cenek |
|13	|M|	Wind |	VALENTA	| Tomas |
|13	|M|	Wind |	MARTENS	| Timo |
|14	|N|	Temperature |	SPIEKER |	Christine |
|14	|N|	Temperature |	SERAFIN	| Emilia |
|15	|R|	Rainfall |	POKORNÝ	 | Jan |
|15	|R|	Rainfall |	JANCICKA |	Lukas |
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|16|	S |	Temperature |	CLAVE |	Gabriel |
|16	|S |	Temperature |	CARDI |	Etienne |
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|17 |	T |	Wind |	VALADE |	Nicolas |
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|17 |	T |	Wind |	ABESSOUGUIEBAYIHA |	Jean-Sébastien |