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Results tagged with moments
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user 23959
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Convergence in probability of sample covariance for permutation invariant triangular arrays
stackrel{d}{=} (X_{N,\sigma (1)},\ldots,X_{N,\sigma(N)})
$$
$$
(Y_{N,1},\ldots,Y_{N,N}) \stackrel{d}{=} (Y_{N,\sigma (1)},\ldots,Y_{N,\sigma(N)})
$$
There are finite constants $a_n,b_n$ such that the sample moments … If the random variables have finite moments and if there were finite constants $a',b'$ such that
$$
\mathbb{E}\left[ \frac1N \sum_{i=1}^N X_{N,i} \right] \to a'
$$
$$
\mathbb{E}\left[ \frac1N \sum_{i= …
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