Archive for Dirac delta

statistics do not always lie

Posted in Books, Statistics, University life with tags , , , , , , , , on December 16, 2012 by xi'an

Le Monde weekend edition science leaflet (Le Monde[wes] from now on!) had several interesting entries this weekend. One was a blurb by Cédric Villani with the above title. Or in French “Les statistiques ne sont pas toujours des mensonges“. This most communicant of our Fields Medalists focussed on two recent scientific news to conclude about the relevance of statistics (herein considered as one of the mathematical sciences!) in scientific discoveries: the validation of the significance of the observations connected with the Higgs Boson and the invalidation of the significance of the Séralini et al. experiments on Monsanto genetically modified maize NK603. Villani actually reproduces the erroneous and quasi-universal interpretation of the statistical analysis of the Higgs Boson as establishing its existence with a probability of .999999, as already discussed in an earlier post. (The whole issue was discussed on the ISBA forum, following Dennis Lindley’s call.) I also mentioned the Monsanto experiment in an earlier post last month, experiment whose publication was surrounded by hyper mediatisation and later controversy, while being validated by the Elsevier journal Food and Chemical Toxicology.

Another interesting entry was the blurb of Marco Zito, physicist in CEA, on another Fields Medalist, Laurent Schwartz, the mathematician who formalised Dirac deltas into the theory of distributions. He first recalls his discovery of Schwartz’s wonderful Théorie des Distributions that I read with fascination in the early 1980’s. (And that most surprisingly does not seem to have been translated in English…) He then discusses the personality of Laurent Schwartz, as described in the wonderful A Mathematician Grappling with His Century, his autobiography where he describes his political involvement against the French war in Algeria, esp. about the disappearance and murder by torture of the young mathematician Maurice Audin. Laurent Schwartz was actually excluded a few years from the faculty at École Polytechnique for this involvement…