tag:blogger.com,1999:blog-3891434218564545511.post3182286397983898374..comments2024-03-28T19:56:42.305-05:00Comments on Alexander Pruss's Blog: The Law of Large Numbers for independent identically distributed nonmeasurable random variablesAlexander R Prusshttp://www.blogger.com/profile/05989277655934827117noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-3891434218564545511.post-58876245646769491322013-05-14T14:53:40.772-05:002013-05-14T14:53:40.772-05:00This paper has just been accepted by the Bulletin ...This paper has just been accepted by the <em>Bulletin of the Polish Academy of Sciences, Mathematics</em>.Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-72998910094885134942012-08-16T13:26:22.741-05:002012-08-16T13:26:22.741-05:00Here is a permanent link to the paper.<a href="http://arxiv.org/abs/1208.3187" rel="nofollow">Here</a> is a permanent link to the paper.Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-18461645850712100402012-08-15T13:11:46.933-05:002012-08-15T13:11:46.933-05:00I found a reference for the fact (and other relate...I found a reference for the fact (and other related facts). See Lemmas 1.2.2 and 1.2.3 in A. van der Vaart and J. Wellner. Weak Convergence and Empirical Processes: With Applications to Statistics, New York: Springer, 1996Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-57784589555237465062012-08-15T11:16:51.983-05:002012-08-15T11:16:51.983-05:00I wouldn't be surprised if there is a proof of...I wouldn't be surprised if there is a proof of the first fact in something by Hoffman-Jorgensen. But I didn't find a reference, so I just proved it in the paper (<a href="http://arxiv.org/submit/532887/view" rel="nofollow">temporary link</a>).Alexander R Prusshttps://www.blogger.com/profile/05989277655934827117noreply@blogger.comtag:blogger.com,1999:blog-3891434218564545511.post-12647977231972846652012-08-15T11:14:25.248-05:002012-08-15T11:14:25.248-05:00This sounds intriguing. I'll have to think abo...This sounds intriguing. I'll have to think about this. Just for reference, is the first fact by any chance known by another name?WMFhttps://www.blogger.com/profile/11251276221914401560noreply@blogger.com