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SUMMARY:A new coefficient of correlation  - Sourav Chatterjee (Stanford) 
DTSTART:20231018T153000Z
DTEND:20231018T163000Z
UID:TALK193558@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:\nIs it possible to define a coefficient of correlation which 
 is (a) as simple as the classical coefficients like Pearson's correlation 
 or Spearman's correlation\, and yet (b) consistently estimates some simple
  and interpretable measure of the degree of dependence between the variabl
 es\, which is 0 if and only if the variables are independent and 1 if and 
 only if one is a measurable function of the other\, and (c) has a simple a
 symptotic theory under the hypothesis of independence\, like the classical
  coefficients? I will talk about a recent work (from 2 years ago) that ans
 wers this question in the affirmative\, by producing such a coefficient. N
 o assumptions are needed on the distributions of the variables. Subsequent
  developments and future directions will be briefly discussed. \n\nA wine 
 reception in the central core will follow this event
LOCATION:Centre for Mathematical Sciences MR2
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