110 http://isa.epfl.ch/imoniteur_ISAP/ itffichecours.txt?path=EPFL.Etu.FicheCours.HeaderEN itffichecours.txt?path=EPFL.Etu.FicheCours.GlobalNav_js en 2026 944590 944590 213638028 213638028 0 0 Mathematics MA SB Faculté des sciences de base School of Basic Sciences !itffichecours.htm?ww_i_matiere=1685212246&ww_x_anneeAcad=213638028&ww_i_section=944590&ww_i_niveau= 1696552884 1696552963 2015-2016 COURSE BOOKLET MATH-447 Risk, rare events and extremes Risk, rare events and extremes Lecturers Davison Anthony Language of teaching English Cursus Applied Mathematics(2015-2016, MA-ING - Master 2014)
Applied Mathematics(2015-2016, MA-ING - Master 2015)
Financial engineering(2015-2016, IF - Master 2014)
Financial engineering(2015-2016, IF - Master 2015)
Mathematics - master program(2015-2016, MATH - Master 2014)
Mathematics - master program(2015-2016, MATH - Master 2015)
Mathematics for teaching(2015-2016, MA-HEP - Master 2014)
Mathematics for teaching(2015-2016, MA-HEP - Master 2015)
SemesterMand.OptionFilières
MA1, MA3x
MA1, MA3xB C
 Credits 5 Session Winter Workload 150h Exam Written Number of positions Semester Fall Weeks 14 Hours 4 weekly
Courses 2 weekly
Exercises 2 weekly
Study planSemesterMand.OptionFilières
Financial Engineering 2015-16MA1x
Financial Engineering 2015-16MA3x
HEP Mathematics 2015-16MA1x
HEP Mathematics 2015-16MA3x
Mathematics 2015-16MA1xB C
Mathematics 2015-16MA3xB C
Cursus Sem. Type
Financial engineering MA1, MA3 Opt.
Ing.-math MA1, MA3 Opt.
Mathematics for teaching MA1, MA3 Opt.
Mathématicien MA1, MA3 Opt.
Summary Modelling of rare events, such as stock market crashes, storms and catastrophic structural failures, is important. This course will describe the special models and methods that are relevant to such modelling, including the mathematical bases, statistical tools and applications. Content
  • Mathematical bases: behaviour of maxima and threshold exceedances in large samples, both for independent and dependent data.  Poisson process modelling. 
  • Statistical methods: modelling using the GEV and GP distributions, for independent and dependent data.  Likelihood and Bayesian inference.  Non-stationarity.  Extremal coefficients.  Multivariate extreme-value distributions.  Max-stable processes.
  • Applications: Environmental, financial, and engineering applications.  Use of R for extremal modelling.
 Learning Prerequisites Important concepts to start the course

Probability and statistics at the level of second-year bachelor (mathematics), plus further knowledge of statistics and stochastic processes.

 Learning Outcomes By the end of the course, the student must be able to:
  • Recognize situations where statistical analysis of extrema is appropriate
  • Manipulate mathematical objects related to the study of extrema
  • Analyze empirical data on extremes using appropriate statistical methods
  • Construct appropriate statistical models for extremal data
  • Interpret such models in terms of underlying phenomena
  • Infer properties of real systems in terms of probability models for extremes
 Teaching methods

Lectures, theoretical and computational exercises in class and at home.

 Assessment methods

Mini-project, final exam.

 Supervision Assistant.e.s Yes Resources Bibliography

Coles, S. G. (2001)  An Introduction to the Statistical Modelling of Extreme Values.  Springer.

Beirlant, J,  Goegebeur. Y., Teugels. J. and Segers. J. (2004) Statistics of Extremes: Theory and Applications.  Wiley.

 Mathématiques - master, 2015-2016, Master semestre 1 Mathematics - master program, 2015-2016, Master semester 1 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2015-2016 Master semestre 1 MA1 HIVER Master semester 1 MA1 Mathématiques - master MATH Mathematics - master program MATH
Mathématiques MA Mathematics MA
B C optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
1685212246 Risk, rare events and extremes Risk, rare events and extremes 5
Ecrit Written Crédit Credits 5 Session hiver Session winter HIV HIV
Mathématiques - master, 2015-2016, Master semestre 3 Mathematics - master program, 2015-2016, Master semester 3 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2015-2016 Master semestre 3 MA3 HIVER Master semester 3 MA3 Mathématiques - master MATH Mathematics - master program MATH
Mathématiques MA Mathematics MA
B C optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
1685212246 Risk, rare events and extremes Risk, rare events and extremes 5
Ecrit Written Crédit Credits 5 Session hiver Session winter HIV HIV
Ingénierie mathématique, 2015-2016, Master semestre 1 Applied Mathematics, 2015-2016, Master semester 1 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2015-2016 Master semestre 1 MA1 HIVER Master semester 1 MA1 Ingénierie mathématique ING_MATH Applied Mathematics ING_MATH
Mathématiques MA Mathematics MA
B C optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
1685212246 Risk, rare events and extremes Risk, rare events and extremes 5
Ecrit Written Crédit Credits 5 Session hiver Session winter HIV HIV
Ingénierie mathématique, 2015-2016, Master semestre 3 Applied Mathematics, 2015-2016, Master semester 3 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2015-2016 Master semestre 3 MA3 HIVER Master semester 3 MA3 Ingénierie mathématique ING_MATH Applied Mathematics ING_MATH
Mathématiques MA Mathematics MA
B C optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
1685212246 Risk, rare events and extremes Risk, rare events and extremes 5
Ecrit Written Crédit Credits 5 Session hiver Session winter HIV HIV
Ingénierie financière, 2015-2016, Master semestre 1 Financial engineering, 2015-2016, Master semester 1 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2015-2016 Master semestre 1 MA1 HIVER Master semester 1 MA1 Ingénierie financière IF Financial engineering IF
Ingénierie financière IF Financial engineering IF
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
Only in MA3 1685212246 Risk, rare events and extremes Risk, rare events and extremes 5
Ecrit Written Crédit Credits 5 Session hiver Session winter HIV HIV
Ingénierie financière, 2015-2016, Master semestre 3 Financial engineering, 2015-2016, Master semester 3 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2015-2016 Master semestre 3 MA3 HIVER Master semester 3 MA3 Ingénierie financière IF Financial engineering IF
Ingénierie financière IF Financial engineering IF
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
Only in MA3 1685212246 Risk, rare events and extremes Risk, rare events and extremes 5
Ecrit Written Crédit Credits 5 Session hiver Session winter HIV HIV
Mathématiques pour l'enseignement, 2015-2016, Master semestre 1 Mathematics for teaching, 2015-2016, Master semester 1 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2015-2016 Master semestre 1 MA1 HIVER Master semester 1 MA1 Mathématiques pour l'enseignement MA_HEP Mathematics for teaching MA_HEP
Mathématiques MA Mathematics MA
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
1685212246 Risk, rare events and extremes Risk, rare events and extremes 5
Ecrit Written Crédit Credits 5 Session hiver Session winter HIV HIV
Mathématiques pour l'enseignement, 2015-2016, Master semestre 3 Mathematics for teaching, 2015-2016, Master semester 3 Ecole polytechnique fédérale de Lausanne EPFL Ecole polytechnique fédérale de Lausanne EPFL 2015-2016 Master semestre 3 MA3 HIVER Master semester 3 MA3 Mathématiques pour l'enseignement MA_HEP Mathematics for teaching MA_HEP
Mathématiques MA Mathematics MA
optionnel optional
2 Cours Courses Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
2 Exercices Exercises Heure(s) hebdo x 14 semaines Hour(s) per week x 14 weeks H hebdo H hebdo Davison Anthony Christopher 111184
Mathématiques MA Mathematics MA
1685212246 Risk, rare events and extremes Risk, rare events and extremes 5
Ecrit Written Crédit Credits 5 Session hiver Session winter HIV HIV
BALISES_TEXTES BOOLEAN_Symbol BaliseJS_debut BaliseJS_fin Balise_debut Balise_fin FO_debut FO_fin HTML_debut HTML_fin JS_debut JS_fin BALISE_BOLD BOOLEAN_Symbol BaliseJS_debut \x5bb\x5d BaliseJS_fin \x5b\x2fb\x5d Balise_debut [b] Balise_fin [/b] FO_debut font-weight=bold FO_fin font-weight=normal HTML_debut <b> HTML_fin </b> JS_debut \x3cb\x3e JS_fin \x3c\x2fb\x3e BALISE_ITALIC BOOLEAN_Symbol BaliseJS_debut \x5bi\x5d BaliseJS_fin \x5b\x2fi\x5d Balise_debut [i] Balise_fin [/i] FO_debut font-style=italic FO_fin font-style=normal HTML_debut <i> HTML_fin </i> JS_debut \x3ci\x3e JS_fin \x3c\x2fi\x3e BALISE_RED BOOLEAN_Symbol BaliseJS_debut \x5bred\x5d BaliseJS_fin \x5b\x2fred\x5d Balise_debut [red] Balise_fin [/red] FO_debut color=#990033 FO_fin color=black HTML_debut <span style="color:#990033;"> HTML_fin </span> JS_debut \x3cspan style="color:#990033;"\x3e JS_fin \x3c\x2fspan\x3e BALISE_TAB BOOLEAN_Symbol BaliseJS_debut \x5btab\x5d BaliseJS_fin Balise_debut [tab] Balise_fin FO_debut [inline]=&#160;&#160;&#160;&#160;&#160;&#160;&#160;&#160; FO_fin HTML_debut <img src="/images/gestacplus/base/pixel.gif" width="40" height="1"/> HTML_fin JS_debut \x3cimg src="\x2fimages\x2fgestacplus\x2fbase\x2fpixel.gif" width="40" height="1"\x2f\x3e JS_fin BALISE_LIST BOOLEAN_Symbol BaliseJS_debut \x5bli\x5d BaliseJS_fin Balise_debut [li] Balise_fin FO_debut [inline]=&#x2022;&#160;&#160; FO_fin HTML_debut &#x2022;&#160;&#160; HTML_fin JS_debut \x26#x2022;\x26#160;\x26#160; JS_fin CODE5045487 BOOLEAN_Symbol BaliseJS_debut \x5b\x5d BaliseJS_fin Balise_debut [] Balise_fin FO_debut [inline]=&#160; FO_fin HTML_debut &#160; HTML_fin JS_debut \x26#160; JS_fin BALISE_GREEN BOOLEAN_Symbol BaliseJS_debut \x5bgreen\x5d BaliseJS_fin \x5b\x2fgreen\x5d Balise_debut [green] Balise_fin [/green] FO_debut color=#008000 FO_fin color=black HTML_debut <span style="color:#008000;"> HTML_fin </span> JS_debut \x3cspan style="color:#008000;"\x3e JS_fin \x3c\x2fspan\x3e CODE7508550 BOOLEAN_Symbol BaliseJS_debut \x5bblue\x5d BaliseJS_fin \x5b\x2fblue\x5d Balise_debut [blue] Balise_fin [/blue] FO_debut color=#0080FF FO_fin color=black HTML_debut <span style="color:#0080FF;"> HTML_fin </span> JS_debut \x3cspan style="color:#0080FF;"\x3e JS_fin \x3c\x2fspan\x3e BALISE_COURIER BOOLEAN_Symbol BaliseJS_debut \x5bcourier\x5d BaliseJS_fin \x5b\x2fcourier\x5d Balise_debut [courier] Balise_fin [/courier] FO_debut font-family=Courier FO_fin font-family= HTML_debut <font style="font-family:Courier;"> HTML_fin </font> JS_debut \x3cfont style="font-family:Courier;"\x3e JS_fin \x3c\x2ffont\x3e BALISE_SIZE20 BOOLEAN_Symbol BaliseJS_debut \x5b20\x5d BaliseJS_fin \x5b\x2f20\x5d Balise_debut [20] Balise_fin [/20] FO_debut font-size=20pt FO_fin font-size= HTML_debut <font style="font-size:20pt;"> HTML_fin </font> JS_debut \x3cfont style="font-size:20pt;"\x3e JS_fin \x3c\x2ffont\x3e BALISE_SIZE16 BOOLEAN_Symbol BaliseJS_debut \x5b16\x5d BaliseJS_fin \x5b\x2f16\x5d Balise_debut [16] Balise_fin [/16] FO_debut font-size=16pt FO_fin font-size= HTML_debut <font style="font-size:16pt;"> HTML_fin </font> JS_debut \x3cfont style="font-size:16pt;"\x3e JS_fin \x3c\x2ffont\x3e BALISE_SIZE12 BOOLEAN_Symbol BaliseJS_debut \x5b12\x5d BaliseJS_fin \x5b\x2f12\x5d Balise_debut [12] Balise_fin [/12] FO_debut font-size=12pt FO_fin font-size= HTML_debut <font style="font-size:12pt;"> HTML_fin </font> JS_debut \x3cfont style="font-size:12pt;"\x3e JS_fin \x3c\x2ffont\x3e BALISE_SIZE8 BOOLEAN_Symbol BaliseJS_debut \x5b8\x5d BaliseJS_fin \x5b\x2f8\x5d Balise_debut [8] Balise_fin [/8] FO_debut font-size=8pt FO_fin font-size= HTML_debut <font style="font-size:8pt;"> HTML_fin </font> JS_debut \x3cfont style="font-size:8pt;"\x3e JS_fin \x3c\x2ffont\x3e BALISE_BLACKBACK BOOLEAN_Symbol BaliseJS_debut \x5bblackback\x5d BaliseJS_fin \x5b\x2fblackback\x5d Balise_debut [blackback] Balise_fin [/blackback] FO_debut background-color=black FO_fin background-color=white HTML_debut <span style="background-color:black;"> HTML_fin </span> JS_debut \x3cspan style="background-color:black;"\x3e JS_fin \x3c\x2fspan\x3e BALISE_WHITE BOOLEAN_Symbol BaliseJS_debut \x5bwhite\x5d BaliseJS_fin \x5b\x2fwhite\x5d Balise_debut [white] Balise_fin [/white] FO_debut color=white FO_fin color=black HTML_debut <span style="color:white;"> HTML_fin </span> JS_debut \x3cspan style="color:white;"\x3e JS_fin \x3c\x2fspan\x3e CODE47534071 BOOLEAN_Symbol 1 BaliseJS_debut \x5bbeta\x5d BaliseJS_fin Balise_debut [beta] Balise_fin FO_debut [inline]=&#946; FO_fin HTML_debut &#946; HTML_fin JS_debut \x26#946; JS_fin CODE47534435 BOOLEAN_Symbol 1 BaliseJS_debut \x5balpha\x5d BaliseJS_fin Balise_debut [alpha] Balise_fin FO_debut [inline]=&#945; FO_fin HTML_debut &#945; HTML_fin JS_debut \x26#945; JS_fin CODE47551722 BOOLEAN_Symbol BaliseJS_debut \x5bsub\x5d BaliseJS_fin \x5b\x2fsub\x5d Balise_debut [sub] Balise_fin [/sub] FO_debut vertical-align=sub FO_fin vertical-align=baseline HTML_debut <sub> HTML_fin </sub> JS_debut \x3csub\x3e JS_fin \x3c\x2fsub\x3e CODE48535424 BOOLEAN_Symbol 1 BaliseJS_debut \x5bLAMBDA\x5d BaliseJS_fin Balise_debut [LAMBDA] Balise_fin FO_debut [inline]=&#923; FO_fin HTML_debut &#923; HTML_fin JS_debut \x26#923; JS_fin CODE48535666 BOOLEAN_Symbol 1 BaliseJS_debut \x5blambda\x5d BaliseJS_fin Balise_debut [lambda] Balise_fin FO_debut [inline]=&#955; FO_fin HTML_debut &#955; HTML_fin JS_debut \x26#955; JS_fin CODE47551793 BOOLEAN_Symbol BaliseJS_debut \x5bsup\x5d BaliseJS_fin \x5b\x2fsup\x5d Balise_debut [sup] Balise_fin [/sup] FO_debut vertical-align=super FO_fin vertical-align=baseline HTML_debut <sup> HTML_fin </sup> JS_debut \x3csup\x3e JS_fin \x3c\x2fsup\x3e CODE56031535 BOOLEAN_Symbol 1 BaliseJS_debut \x5bdelta\x5d BaliseJS_fin Balise_debut [delta] Balise_fin FO_debut [inline]=&#948; FO_fin HTML_debut &#948; HTML_fin JS_debut \x26#948; JS_fin CODE56073309 BOOLEAN_Symbol 1 BaliseJS_debut \x5bpi\x5d BaliseJS_fin Balise_debut [pi] Balise_fin FO_debut [inline]=&#960; FO_fin HTML_debut &#960; HTML_fin JS_debut \x26#960; JS_fin CODE56074095 BOOLEAN_Symbol 1 BaliseJS_debut \x5bDELTA\x5d BaliseJS_fin Balise_debut [DELTA] Balise_fin FO_debut [inline]=&#916; FO_fin HTML_debut &#916; HTML_fin JS_debut \x26#916; JS_fin CODE56074172 BOOLEAN_Symbol 1 BaliseJS_debut \x5bMU\x5d BaliseJS_fin Balise_debut [MU] Balise_fin FO_debut [inline]=&#924; FO_fin HTML_debut &#924; HTML_fin JS_debut \x26#924; JS_fin CODE56074264 BOOLEAN_Symbol 1 BaliseJS_debut \x5bPI\x5d BaliseJS_fin Balise_debut [PI] Balise_fin FO_debut [inline]=&#928; FO_fin HTML_debut &#928; HTML_fin JS_debut \x26#928; JS_fin CODE56074328 BOOLEAN_Symbol 1 BaliseJS_debut \x5bSIGMA\x5d BaliseJS_fin Balise_debut [SIGMA] Balise_fin FO_debut [inline]=&#931; FO_fin HTML_debut &#931; HTML_fin JS_debut \x26#931; JS_fin CODE56075056 BOOLEAN_Symbol 1 BaliseJS_debut \x5bALPHA\x5d BaliseJS_fin Balise_debut [ALPHA] Balise_fin FO_debut [inline]=&#913; FO_fin HTML_debut &#913; HTML_fin JS_debut \x26#913; JS_fin CODE56075186 BOOLEAN_Symbol 1 BaliseJS_debut \x5bBETA\x5d BaliseJS_fin Balise_debut [BETA] Balise_fin FO_debut [inline]=&#914; FO_fin HTML_debut &#914; HTML_fin JS_debut \x26#914; JS_fin BALISE_SYMBOL BOOLEAN_Symbol BaliseJS_debut \x5bsymbol\x5d BaliseJS_fin \x5b\x2fsymbol\x5d Balise_debut [symbol] Balise_fin [/symbol] FO_debut font-family=Symbol FO_fin font-family= HTML_debut <font style="font-family:Symbol;"> HTML_fin </font> JS_debut \x3cfont style="font-family:Symbol;"\x3e JS_fin \x3c\x2ffont\x3e CODE56072935 BOOLEAN_Symbol 1 BaliseJS_debut \x5bmu\x5d BaliseJS_fin Balise_debut [mu] Balise_fin FO_debut [inline]=&#956; FO_fin HTML_debut &#956; HTML_fin JS_debut \x26#956; JS_fin CODE56073842 BOOLEAN_Symbol 1 BaliseJS_debut \x5bsigma\x5d BaliseJS_fin Balise_debut [sigma] Balise_fin FO_debut [inline]=&#963; FO_fin HTML_debut &#963; HTML_fin JS_debut \x26#963; JS_fin CODE68199232 BOOLEAN_Symbol 1 BaliseJS_debut \x5bphi\x5d BaliseJS_fin Balise_debut [phi] Balise_fin FO_debut [inline]=&#966; FO_fin HTML_debut &#966; HTML_fin JS_debut \x26#966; JS_fin CODE68199285 BOOLEAN_Symbol 1 BaliseJS_debut \x5bPHI\x5d BaliseJS_fin Balise_debut [PHI] Balise_fin FO_debut [inline]=&#934; FO_fin HTML_debut &#934; HTML_fin JS_debut \x26#934; JS_fin CODE68199991 BOOLEAN_Symbol 1 BaliseJS_debut \x5bgamma\x5d BaliseJS_fin Balise_debut [gamma] Balise_fin FO_debut [inline]=&#947; FO_fin HTML_debut &#947; HTML_fin JS_debut \x26#947; JS_fin CODE68200031 BOOLEAN_Symbol 1 BaliseJS_debut \x5bGAMMA\x5d BaliseJS_fin Balise_debut [GAMMA] Balise_fin FO_debut [inline]=&#915; FO_fin HTML_debut &#915; HTML_fin JS_debut \x26#915; JS_fin CODE68200077 BOOLEAN_Symbol 1 BaliseJS_debut \x5bomega\x5d BaliseJS_fin Balise_debut [omega] Balise_fin FO_debut [inline]=&#969; FO_fin HTML_debut &#969; HTML_fin JS_debut \x26#969; JS_fin CODE68200150 BOOLEAN_Symbol 1 BaliseJS_debut \x5bOMEGA\x5d BaliseJS_fin Balise_debut [OMEGA] Balise_fin FO_debut [inline]=&#937; FO_fin HTML_debut &#937; HTML_fin JS_debut \x26#937; JS_fin CODE72092691 BOOLEAN_Symbol BaliseJS_debut \x5beta\x5d BaliseJS_fin Balise_debut [eta] Balise_fin FO_debut [inline]=&#951; FO_fin HTML_debut &#951; HTML_fin JS_debut \x26#951; JS_fin CODE72092805 BOOLEAN_Symbol BaliseJS_debut \x5bETA\x5d BaliseJS_fin Balise_debut [ETA] Balise_fin FO_debut [inline]=&#919; FO_fin HTML_debut &#919; HTML_fin JS_debut \x26#919; JS_fin BALISE_SOULIGNER BOOLEAN_Symbol BaliseJS_debut \x5bu\x5d BaliseJS_fin \x5b\x2fu\x5d Balise_debut [u] Balise_fin [/u] FO_debut text-decoration=underline FO_fin text-decoration=none HTML_debut <u> HTML_fin </u> JS_debut \x3cu\x3e JS_fin \x3c\x2fu\x3e CODE72092388 BOOLEAN_Symbol BaliseJS_debut \x5bpsi\x5d BaliseJS_fin Balise_debut [psi] Balise_fin FO_debut [inline]=&#968; FO_fin HTML_debut &#968; HTML_fin JS_debut \x26#968; JS_fin CODE72092541 BOOLEAN_Symbol BaliseJS_debut \x5bPSI\x5d BaliseJS_fin Balise_debut [PSI] Balise_fin FO_debut [inline]=&#936; FO_fin HTML_debut &#936; HTML_fin JS_debut \x26#936; JS_fin CODE140502511 BOOLEAN_Symbol 1 BaliseJS_debut \x5brho\x5d BaliseJS_fin Balise_debut [rho] Balise_fin FO_debut [inline]=&#961; FO_fin HTML_debut &#961; HTML_fin JS_debut \x26#961; JS_fin CODE140504636 BOOLEAN_Symbol 1 BaliseJS_debut \x5bRHO\x5d BaliseJS_fin Balise_debut [RHO] Balise_fin FO_debut [inline]=&#929; FO_fin HTML_debut &#929; HTML_fin JS_debut \x26#929; JS_fin CODE148292791 BOOLEAN_Symbol BaliseJS_debut \x5bepsilon\x5d BaliseJS_fin Balise_debut [epsilon] Balise_fin FO_debut [inline]=&#949; FO_fin HTML_debut &#949; HTML_fin JS_debut \x26#949; JS_fin CODE169976220 BOOLEAN_Symbol BaliseJS_debut \x5blig\x5d BaliseJS_fin Balise_debut [lig] Balise_fin FO_debut [inline]=&#x203A;&#160;&#160; FO_fin HTML_debut &#x203A;&#160;&#160; HTML_fin JS_debut \x26#x203A;\x26#160;\x26#160; JS_fin CODE148292899 BOOLEAN_Symbol BaliseJS_debut \x5bEPSILON\x5d BaliseJS_fin Balise_debut [EPSILON] Balise_fin FO_debut [inline]=&#917; FO_fin HTML_debut &#917; HTML_fin JS_debut \x26#917; JS_fin BALISETXT_SAUT BOOLEAN_Symbol BaliseJS_debut \x5bbr\x2f\x5d BaliseJS_fin Balise_debut [br/] Balise_fin FO_debut FO_fin HTML_debut <br/> HTML_fin JS_debut \x3cbr\x2f\x3e JS_fin 1685212246 Risk, rare events and extremes Risk, rare events and extremes English Davison Anthony Christopher 111184 1776379455