Precise Rates in Log Laws for NA Sequences
Let X1,X2,… be a strictly stationary sequence of negatively associated (NA) random variables with EX1=0, set Sn=X1+⋯+Xn, suppose that σ2=EX12+2∑n=2∞EX1Xn>0 and EX12<∞, if −1<α≤1; EX12(log|X1|)α<∞, if α>1. We prove limε↓0ε2α+2∑n=1∞((logn)α/n)P(|Sn|≥σ(ε+κn)2nlogn)=2−(α+1)(α+1)−1E|N|2α+...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2007/89107 |
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