Let
denote a random sample from the prob. density function:
show that
is sufficient for
I asked my prof, and all he told me is that in order for our definition of sufficiency to be valid in this case we simply need to considering the smallest y, where it should be greater then some fixed
. If I look at what the book says and go according to
http://www.mathhelpforum.com/math-he...-question.html I get something a little closer to what's in the book. Therefore what I get is
so the density function for a minimum stat is
following the same method as in the link I get:
factorizing it out would give
I'm not quite sure that this is correct.
Also can it be done using these terms:
Let
as
expanding it out gives: