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A note on the weak law of large numbers of Kolmogorov and Feller

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Abstract

In this paper, we establish the weak laws of large numbers for the negative quadrant-dependent random sequences which extend the classic Kolmogorov–Feller weak law of large numbers. In addition, the moment convergence for the negative quadrant-dependent random sequences are also given.

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Acknowledgements

This work is supported by IRTSTHN (14IRTSTHN023), NSFC (11471104, 11971154).

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Correspondence to Yu Miao.

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Communicating Editor: Parameswaran Sankaran

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Ma, F., Miao, Y. & Mu, J. A note on the weak law of large numbers of Kolmogorov and Feller. Proc Math Sci 130, 4 (2020). https://doi.org/10.1007/s12044-019-0528-2

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  • DOI: https://doi.org/10.1007/s12044-019-0528-2

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