A convergence theorem for sums of dependent Hilbert space valued triangular arrays

Li Zezhi and Zhang Buchen

Statistics & Probability Letters, 1994, vol. 19, issue 3, 177-179

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.

Keywords: Dependent; triangular; arrays; a.s.; convergence (search for similar items in EconPapers)
Date: 1994
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