Abstract
The classical complete convergence theorem concerns the arithmetic means which is a regular method of summability. In this paper, to obtain the main results, a new large class of summability methods is introduced. The results for complete convergence for negatively associated random variable sequence are obtained. To investigate this results, by restricting the moment conditions and use a new method of summability. Then the result of the complete convergence for NA random variables sequences are obtained by applying the Kolmogorov-type inequality for NA random variable sequence.
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© 2012 Springer-Verlag Berlin Heidelberg
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Wang, Y., Liu, Y., Tan, Y. (2012). Complete Convergence for NA Random Sequence. In: Liu, C., Wang, L., Yang, A. (eds) Information Computing and Applications. ICICA 2012. Communications in Computer and Information Science, vol 307. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34038-3_52
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DOI: https://doi.org/10.1007/978-3-642-34038-3_52
Publisher Name: Springer, Berlin, Heidelberg
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