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- From: thompson@atlas.socsci.umn.edu (T. Scott Thompson)
- Subject: Re: Question on ratio estimate
- Message-ID: <thompson.715720588@hermes.socsci.umn.edu>
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- Organization: Economics Department, University of Minnesota
- References: <huff-020992210907@pgl6.chem.nyu.edu> <87798@netnews.upenn.edu> <thompson.715495148@kiyotaki.econ.umn.edu> <1992Sep4.203740.25570@cs.brown.edu>
- Date: Sat, 5 Sep 1992 19:16:28 GMT
- Lines: 22
-
- mpp@cs.brown.edu (Michael P. Perrone) writes:
-
- >T. Scott Thompson writes:
- >>To apply this to your problem let K = 2, J = 1 and set
- >>Z_i = (X_i,Y_i). Set
- >>
- >> g(z) = z(1) / z(2) so that G = [ 1 / m(y), -m(x)/m(y)^2 ].
-
- >but i thought that z(1) and z(2) may be correlated
- >thus the i.i.d. assumption may be bad in general.
-
- You misunderstood my assumption. I was assuming that the _vectors_
- Z_i are i.i.d. This does not mean that Z_i(1) and Z_i(2) are
- independent from each other, nor that they are identically
- distributed. It means that the vector Z_i is independent from Z_j and
- that these vectors have the same distribution for i != j. (And
- likewise for any finite collection of indices.)
-
- --
- T. Scott Thompson email: thompson@atlas.socsci.umn.edu
- Department of Economics phone: (612) 625-0119
- University of Minnesota fax: (612) 624-0209
-