| 独立模糊随机变量的强大数律 |
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| 引用本文： | 何文平,龚玮. 独立模糊随机变量的强大数律[J]. 南通大学学报(自然科学版), 2011, 10(1): 77-81 |
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| 作者姓名： | 何文平 龚玮 |
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| 作者单位： | 炮兵学院南京分院,江苏,南京,211132 |
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| 摘 要： | 设{xn,n≥1}是一模糊随机变量序列且{an,n≥1}是一列常数,且满足0
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| 关 键 词： | 模糊 随机变量 强大数律 按概率收敛 |
Strong Law of Large Numbers of Fuzzy Random Variables |
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| HE Wen-ping,GONG Wei. Strong Law of Large Numbers of Fuzzy Random Variables[J]. Journal of Nantong University (Natural Science Edition), 2011, 10(1): 77-81 |
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| Authors: | HE Wen-ping GONG Wei |
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| Affiliation: | HE Wen-ping,GONG Wei (PLA Artillery Nanjing Branch,Nanjing 211132,China) |
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| Abstract: | Let {x,n ≥ 1} be a sequence of independent fuzzy random variables and {a,n ≥ 1} sequence of positive real numbers converging to ∞.In this paper we show that φ(x)↑,↑,↓ under the assumption with some restrictions on n∞=1Σni=1ΣE(φ(‖xi‖ρp))φ(an)<∞,∞n=1Σ(ni=1ΣE(‖xi‖ρ2p)an2)s<∞. If and only if E‖xi‖ρ2p/an→0 If and only if ni=1ΣXi/an→C 0-If and only if ni=1ΣXi/an→a.s.0-If and only if ni=1ΣXi/an→p 0-. |
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| Keywords: | fuzzy random variables law of large numbers convergence in probability |
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