GUAN Qingyang, YANG Xiaoyun. An Example of the Weighted Sum of Independent B-Valued Random Elements no Satisfying the LIL[J]. Chinese Journal of Applied Probability and Statistics, 2001, 17(1): 73-80.
Citation:
GUAN Qingyang, YANG Xiaoyun. An Example of the Weighted Sum of Independent B-Valued Random Elements no Satisfying the LIL[J]. Chinese Journal of Applied Probability and Statistics, 2001, 17(1): 73-80.
GUAN Qingyang, YANG Xiaoyun. An Example of the Weighted Sum of Independent B-Valued Random Elements no Satisfying the LIL[J]. Chinese Journal of Applied Probability and Statistics, 2001, 17(1): 73-80.
Citation:
GUAN Qingyang, YANG Xiaoyun. An Example of the Weighted Sum of Independent B-Valued Random Elements no Satisfying the LIL[J]. Chinese Journal of Applied Probability and Statistics, 2001, 17(1): 73-80.
An Example of the Weighted Sum of Independent B-Valued Random Elements no Satisfying the LIL
In this paper, we give am example which show the law of iterated logarithm for the weighted sum of independent B-valued random elements is not true in general moment condition. Further, we prove that the law of iterated logarithm for the weighted sum of independent B-valued random elements is not true when order of norm moment for random element is less than 2.
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