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Strong laws for weighted sums of \(\rho ^*\)-mixing random variables under general, moment conditions

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Abstract

An analog of the Marcinkiewicz–Zygmund strong law of large numbers for weighted sums of \(\rho ^*\)-mixing random variables is obtained under a general moment condition, which improves and extends a result of Bai and Cheng (Stat Probab Lett 46:105–112, 2000) and among others.

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Acknowledgements

The authors would like to thank the referees for their helpful comments. The research of Li is supported by the National Natural Science Foundation of China (No. 61374067). The research of Hu is supported by the Minister of Science and Technology R.O.C. (MOST 105-2118-M-007-004-MY2).

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Authors and Affiliations

  1. College of Computation Science, Zhongkai University of Agriculture and Engineering, Guangzhou, 510225, People’s Republic of China

    Wei Li

  2. Department of Mathematics, Jinan University, Guangzhou, 510630, People’s Republic of China

    Pingyan Chen

  3. Department of Mathematics, National Tsing Hua University, Hsinchu, 30013, Taiwan, ROC

    Tien-Chung Hu

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  1. Wei Li
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  2. Pingyan Chen
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  3. Tien-Chung Hu
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Correspondence to Tien-Chung Hu.

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Li, W., Chen, P. & Hu, TC. Strong laws for weighted sums of \(\rho ^*\)-mixing random variables under general, moment conditions. RACSAM 113, 1765–1772 (2019). https://doi.org/10.1007/s13398-018-0577-x

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  • DOI: https://doi.org/10.1007/s13398-018-0577-x

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