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引用次数: 13
摘要
在适当的h-可积条件下,研究了行向扩展负相关随机变量阵列的lr收敛、完全收敛和完全矩收敛。本文的结果扩展和改进了Sung等人的研究结果宋,S. Lisawadi, a . Volodin,一致可积条件下阵列的弱数定律,J.数学。社会学报,45 (2008),pp. 289-300]。
Limiting behaviour for arrays of row-wise END random variables under conditions of h-integrability
The authors study Lr-convergence, complete convergence and complete moment convergence for arrays of row-wise extended negatively dependent random variables under some appropriate conditions of h-integrability. The results in this paper extend and improve the results of Sung et al. [H.S. Sung, S. Lisawadi, A. Volodin, Weak laws of large numbers for arrays under a condition of uniform integrability, J. Korean Math. Soc. 45 (2008), pp. 289–300].
期刊介绍:
Stochastics: An International Journal of Probability and Stochastic Processes is a world-leading journal publishing research concerned with stochastic processes and their applications in the modelling, analysis and optimization of stochastic systems, i.e. processes characterized both by temporal or spatial evolution and by the presence of random effects.
Articles are published dealing with all aspects of stochastic systems analysis, characterization problems, stochastic modelling and identification, optimization, filtering and control and with related questions in the theory of stochastic processes. The journal also solicits papers dealing with significant applications of stochastic process theory to problems in engineering systems, the physical and life sciences, economics and other areas. Proposals for special issues in cutting-edge areas are welcome and should be directed to the Editor-in-Chief who will review accordingly.
In recent years there has been a growing interaction between current research in probability theory and problems in stochastic systems. The objective of Stochastics is to encourage this trend, promoting an awareness of the latest theoretical developments on the one hand and of mathematical problems arising in applications on the other.