WANG Yuebao, TANG Shangyong. ON A CONJECTURE OF STRONG LAWS WITH MULTIDIMENSIONAL INDICES AND THOROUGHGOING DISCUSSION[J]. Chinese Journal of Applied Probability and Statistics, 1995, 11(1): 13-19.
Citation:
WANG Yuebao, TANG Shangyong. ON A CONJECTURE OF STRONG LAWS WITH MULTIDIMENSIONAL INDICES AND THOROUGHGOING DISCUSSION[J]. Chinese Journal of Applied Probability and Statistics, 1995, 11(1): 13-19.
WANG Yuebao, TANG Shangyong. ON A CONJECTURE OF STRONG LAWS WITH MULTIDIMENSIONAL INDICES AND THOROUGHGOING DISCUSSION[J]. Chinese Journal of Applied Probability and Statistics, 1995, 11(1): 13-19.
Citation:
WANG Yuebao, TANG Shangyong. ON A CONJECTURE OF STRONG LAWS WITH MULTIDIMENSIONAL INDICES AND THOROUGHGOING DISCUSSION[J]. Chinese Journal of Applied Probability and Statistics, 1995, 11(1): 13-19.
ON A CONJECTURE OF STRONG LAWS WITH MULTIDIMENSIONAL INDICES AND THOROUGHGOING DISCUSSION
In this paper we answer a conjecture in 1 for m-dependent random variables taking values in a Banach space B of type 2. Thus, we find conditions under which the strong convergence for B-valued random variables with the multidimensional indices and the moment convergence of the single variable are equivalent.
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