Strong laws of large numbers for arrays of rowwise conditionally independent random elements

Ronald Frank Patterson, Abolghassem Bozorgnia and Robert Lee Taylor

International Journal of Stochastic Analysis, 1993, vol. 6, 1-9

Abstract:

Let { X n k } be an array of rowwise conditionally independent random elements in a separable Banach space of type p , 1 ≤ p ≤ 2 . Complete convergence of n − 1 r ∑ k = 1 n X n k to 0 , 0 < r < p ≤ 2 is obtained by using various conditions on the moments and conditional means. A Chung type strong law of large numbers is also obtained under suitable moment conditions on the conditional means.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:637938

DOI: 10.1155/S1048953393000012

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