two second search -- "Statistics is considered a mathematical science that is distinct from mathematics, though it does use mathematical methods:"
"statistics arguably is not a branch of mathematics. It is a mathematical science, built upon the mathematical discipline of probability. Some ways in which mathematics and Statistics differ include: Statistics often does not produce definitive conclusions whereas mathematics usually does."
this has nothing to do with LLMs at all.. you are uninformed about the old feud between mathematics and statistics so you claim this is not true.
anyway, on reflection, the word "is" does not fit here.. statistics and mathematics are not disjoint, but no, statistics is not a field of mathematics.. ask around among people with serious graduate studies in mathematics and they will fill you in.. Maybe it overlaps into the academic practice and their department structure too.
They are plugged into the backend of many search engines these days and they excel at picking out the nature of the pattern | result that a questioner wants and feeding back what they want to hear.
> ask around among people with serious graduate studies in mathematics and they will fill you in
I checked in with Terence Tao who I first met at an Australian math club get together in the mid 1980s .. he pointed out his 2007 paper on The Dantzig selector (a novel statistical estimator for linear regression) and seems fine accepting statistics as part of mathematics.
I'd hate to cite myself given my rather dull work, but I feel that Terrence surely qualifies as someone "with serious graduate studies in mathematics" given his Fields Medal and UCLA professorship and all that jazz.
Do you have someone more qualified in mind?
Emmanuel Candes, Terence Tao "The Dantzig selector: Statistical estimation when p is much larger than n," The Annals of Statistics, Ann. Statist. 35(6), 2313-2351, (December 2007)
Historically, it took some time for statistics to become mathemathised - they started out as letters to the higher state bureaucracy level with the modern era equivalent of bullet points, then some tables with still mostly words in them, IIRC mathematisation mostly started in the mid-19th century, and maybe only grew much heavier once physicists started to adopted some of these techniques ?
But I feel all this discussion has gone off topic that was the teaching of statistics in our post- (post-?) modern era.
