In:
International Journal of Mathematics and Mathematical Sciences, Hindawi Limited, Vol. 22, No. 3 ( 1999), p. 559-568
Abstract:
Let { X n : n = 1 , 2 , 3 , … } be a sequence of i.i.d. random elements taking values in a separable Banach space of type p and let { A n , i : i = 1 , 2 , 3 , … ; n = 1 , 2 , 3 , … } be an array of random variables. In this paper, under various assumptions of { A n , i } , the necessary and sufficient conditions for ∑ i = 1 ∞ A n , i X i → 0 a.s. are obtained. Also, the necessity of the assumptions of { A n , i } is discussed.
Type of Medium:
Online Resource
ISSN:
0161-1712
,
1687-0425
DOI:
10.1155/S0161171299225598
Language:
English
Publisher:
Hindawi Limited
Publication Date:
1999
detail.hit.zdb_id:
1492203-4
SSG:
17,1
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