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SUMMARY:Maxima\, minima and sum statistics of a family of correlated varia
 bles - Hernan Larralde (Universidad Nacional Autonoma de Mexico (UNAM))
DTSTART:20240906T080000Z
DTEND:20240906T084500Z
UID:TALK217639@talks.cam.ac.uk
DESCRIPTION:Sum and extreme value statistics of independent and weakly cor
 related random variables are asymptotically described by a handful of &ldq
 uo\;universal&rdquo\; distributions\, as established by the central limit 
 theorem and its generalizations\, and the Fisher-Tippett-Gnedenko theorem.
  On the other hand\, while strongly correlated systems are abundant\, only
  for a few exceptional cases can their sum or order statistics be determin
 ed analytically. In this talk I present a large class of systems with stro
 ng correlations for which the sum and complete order statistics can be sol
 ved exactly. I present simple examples that illustrate an application of t
 hese results.\n&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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