논문KCI 등재
Strong limit theorems for weighted sums of NOD sequence and exponential inequalities
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Some properties for negatively orthant dependent sequence are discussed. Some strong limit results for the weighted sums are obtained, which generalize the corresponding results for independent sequence and negatively associated sequence. At last, exponential inequalities for negatively orthant dependent sequence are presented.
Abstract
Some properties for negatively orthant dependent sequence are discussed. Some strong limit results for the weighted sums are obtained, which generalize the corresponding results for independent sequence and negatively associated sequence. At last, exponential inequalities for negatively orthant dependent sequence are presented.
참고문헌 (11)
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- V. Fakoor, "Probability inequalities for sums of negatively dependent random variables", Pakistan J. Statist, 21(3), pp.257~264 (2005)
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- H. C. Kim, "The Hajek-Renyi inequality for weighted sums of negatively orthant depen- dent random variables", Int. J. Contemp. Math. Sci, 1(5), pp.297~303 (2006)
- 고미화, "Strong laws of large numbers for weighted sums of negatively dependent random variables", 대한수학회지, 43(6), pp.1325~1338 (2006), 대한수학회
- 고미화, "Almost sure convergence for weighted sums of negatively orthant dependent random variables", 대한수학회지, 42(5), pp.949~957 (2005), 대한수학회
- Q. Wu, "Complete convergence for negatively dependent sequences of random variables", J. Inequal. Appl, pp.10~ (2010)
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관련 논문AI추천
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