On Sat, 12 May 2018 04:37:55 -0700 (PDT),
shirishsriv@gmail.com wrote:
when i read even i was confused that do we need to calculate the volume of boundary region or volume with in the boundary region.But if you read the question carefully you will get the gist that it is asking volume of boundary region.Therefore we need
to subtract the volume of interior region from the total volume.
Hope that helps.
The original problem, in 2014, was answered more completely
back in 2014. See --
https://groups.google.com/forum/#!topic/sci.stat.consult/Mi8bAxSQzjs
The original --
On Thu, 6 Mar 2014 16:01:16 -0800 (PST),
varinsacha@yahoo.fr wrote:
Hi,
Sorry but I am reading a book (The Elements of Statistical Learning) and there is this question. I really don't understand what to do.
So any help would be very appreciated.
A hypercube with side length 1 in d dimensions is defined to be the set of points (x1, x2, ..., xd) such that 0? xj ?1 for all j = 1, 2, ..., d. Define the boundary region of the hypercube to be the set of all points such that there exists a j for which
0? xj ?.05 or .95? xj ?1 (i.e., it is the set of all points that have at least one dimension in the most extreme 10% of possible values). What proportion of the volume of a hypercube of dimension 50 is in the boundary region ?
--
Rich Ulrich
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