| 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]. 南通工学院学报(自然科学版), 2011, 0(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〈an↑∞.设函数满足于φ（x）↑,φ（x）x↑,φx（2x）↓,如果有n∞=1Σni=1ΣE（φ（‖xi‖ρp））φ（an）〈∞,∞n=1Σ（ni=1ΣE（‖xi‖ρ2p）an2）s〈∞,则E‖xi‖ρ2p/an→0等价ni=1ΣXi/an→C 0-等价ni=1ΣXi/an→a.s.0-等价ni=1ΣXi/an→p 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]. , 2011, 0(1): 77-81 |
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| Authors: | HE Wen-ping GONG Wei |
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| Affiliation: | (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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