Title: A convergence theorem for sums of dependent Hilbert space valued triangular arrays
Abstract: A generalization of Chung's (1974) theorem concerning a.s. convergence for sums of triangular arrays is proved under conditions weaker than zero correlation. A theorem of Ahn (1988) and a theorem of Jobson and Fuller (1980) can then be proved. Originally these two theorems were proved by a lemma of Jobson and Fuller (1980), but there exists a counter example for this lemma.
Publication Year: 1994
Publication Date: 1994-02-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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