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The article says that Dantzig solved two problems that were initially believed to be unsolvable, but makes no mention of what those two problems were. Could someone with expertise in this field please consider adding details about those two problems? --Ixfd64 (talk) 05:43, 5 September 2008 (UTC)
I’m not an expert on this topic, but with a little googling around I found the following article , which mentions following facts:
Dantzig solved those problems in year 1939
Six week later Dantzig’s professor has prepared one of his two “homework” proofs for publication
The second problem was not published (except in Dantzig’s PhD thesis) until after the WWII, when another mathematician, Abraham Wald, rediscovered the proof, and they co-published the paper together in The Annals of Mathematical Statistics.
These facts lead me to believe that the two papers were “Attention: This template ({{cite jstor}}) is deprecated. To cite the publication identified by jstor:2235875, please use {{cite journal}} with |jstor=2235875 instead.”, and “Attention: This template ({{cite jstor}}) is deprecated. To cite the publication identified by jstor:2236704, please use {{cite journal}} with |jstor=2236704 instead.”, and thus the two problems are:
For a family of iid normal random N(μ,σ²) variables with unknown mean and variance, find a test with power function independent of σ. (The answer to this problem is negative: no such test exists).
(The second is trickier and I cannot quite figure out how to put it in terms simple enough that it could have fit on a blackboard).
Due to possible violation of copyright, see WP:Copyvio, I have removed the worksection of this article for now. -- Marcel Douwe Dekker (talk) 08:42, 10 October 2009 (UTC)
P.S. I apologize for all inconvenience I have caused here, see also here. If you would like to assist in improving this article, please let me know. I can use all the help I can get. Thank you.
