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Canonical row-column-exchangeable arrays

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  • Lynch, James

Abstract

Consider a standard row-column-exchangeable array X = (Xij : i,j >= 1), i.e., Xij = f(a, [xi]i, [eta]j, [lambda]ij) is a function of i.i.d. random variables. It is shown that there is a canonical version of X, X', such that X', and [alpha]', [xi]'1, [xi]'2,..., [eta]'1, [eta]'2,..., are conditionally independent given [intersection]n >= 1 [sigma](X'ij : max(i,j) >= n). This result is quite a bit simpler to prove than the analogous result for the original array X, which is due to Aldous.

Suggested Citation

  • Lynch, James, 1984. "Canonical row-column-exchangeable arrays," Journal of Multivariate Analysis, Elsevier, vol. 15(1), pages 135-140, August.
    • Handle: RePEc:eee:jmvana:v:15:y:1984:i:1:p:135-140
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    Cited by:

    1. Dmitry Arkhangelsky & Guido Imbens, 2023. "Causal Models for Longitudinal and Panel Data: A Survey," Papers 2311.15458, arXiv.org, revised Jun 2024.

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