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Complete and Complete f -Moment Convergence for Arrays of Rowwise END Random Variables and Some Applications

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Abstract

In this paper, complete convergence and complete f -moment convergence for arrays of rowwise Extended Negatively Dependent (END, in short) random variables are investigated, and some sufficient conditions for the convergence are provided. The results obtained improved the corresponding ones for random variables with independence structure and some dependence structures.

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Funding

This research was partially supported by the National Natural Science Foundation of China

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Authors and Affiliations

  1. School of Mathematical Sciences, Soochow University, No. 1, Shizi Str., Suzhou, Jiangsu Provice., China

    Jin Yu Zhou, Ji Gao Yan & Fei Du

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  1. Jin Yu Zhou
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  2. Ji Gao Yan
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  3. Fei Du
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Correspondence to Ji Gao Yan.

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Supported by the National Natural Science Foundation of China (No. 11571250)

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Zhou, J.Y., Yan, J.G. & Du, F. Complete and Complete f -Moment Convergence for Arrays of Rowwise END Random Variables and Some Applications. Sankhya A 85, 1307–1330 (2023). https://doi.org/10.1007/s13171-022-00289-0

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  • DOI: https://doi.org/10.1007/s13171-022-00289-0

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