On strong laws of large numbers for random upper semicontinuous functions
On strong laws of large numbers for random upper semicontinuous functions
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随机上半连续函数的强大数定律
DOI：
10.1006/jmaa.1999.6403
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发表时间：
1999
影响因子：
1.3
通讯作者：
I. Molchanov
中科院分区：
文献类型：
--
作者：
I. Molchanov
给出了具有紧支持的随机上半连续函数（模糊随机变量）的强大数定律的简短证明。这种方法允许我们从作为水平集出现的随机集的相关结果中推断出模糊随机变量收敛的许多结果。
A short proof of the strong law of large numbers for random upper semicontinuous functions (fuzzy random variables) with compact support is given. This approach allows us to deduce many results on convergence of fuzzy random variables from the relevant results on random sets that appear as their level sets.