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Article #206

Re: SLLN and CLT for dble. index RV ?

#206
From: Andrew.Robinson
Date: Wed, 15 Apr 1992 05:34
27 lines
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In article <1992Apr15.081401.1@cc.newcastle.edu.au> eemn@cc.newcastle.edu.au
(Brett Ninness) writes:
[...]
>The only twist is that my sequence {X_k} is double indexed: {X_{k,N}}.
>That is, the variances of the X_j in
>
>X_1,X_2, ....... X_k
>
>are different to the variances of the X_j in 
>
>X_1,X_2,.........X_k,X_{k+1}.
>
>To put it another way, the variance of a particular X_k depends on how
>may terms I have in the sequence, hence the double indexing.  All the terms
>are zero mean and independent no matter how long the sequence.
>
I'm intrigued.  How can you get a sequence of random variables whose values are
independent, but whose variances depend on the number of values in the
sequence?

regardless,
&rue

Andrew.Robinson@anu.edu.au   <= forestry statistician 
(if it moves, count it; if it doesn't move then CHOP IT DOWN and count it.)
My employers don't care what I say, in fact I don't even think they know I
exist.
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Message-ID: <1992Apr15.053451.25886@newshost.anu.edu.au>
Path: arc1-ca.pugleaf.net!sparky!uunet!munnari.oz.au!manuel!news
References: <1992Apr15.081401.1@cc.newcastle.edu.au>

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Path: arc1-ca.pugleaf.net!sparky!uunet!munnari.oz.au!manuel!news
From: Andrew.Robinson@anu.edu.au
Subject: Re: SLLN and CLT for dble. index RV ?
Message-ID: <1992Apr15.053451.25886@newshost.anu.edu.au>
Sender: news@newshost.anu.edu.au
Reply-To: Andrew.Robinson@anu.edu.au
Organization: Australian National University
References: <1992Apr15.081401.1@cc.newcastle.edu.au>
Date: Wed, 15 Apr 92 05:34:51 GMT
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