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Convergence in \(\varvec{p}\)-Mean for Arrays of Random Variables

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Abstract

In this paper, conditions are given to ensure the convergence in mean of order \(p\ (1 \leqslant p < 2)\) for arrays of random variables. Recent results about convergence in p-mean for arrays of row-wise pairwise negative quadrant dependent random variables will be improved.

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Acknowledgements

This work is a contribution to the Project UID/GEO/04035/2013, funded by FCT—Fundação para a Ciência e a Tecnologia, Portugal.

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  1. Faculty of Sciences and Technology, Department of Mathematics and GeoBioTec, NOVA University of Lisbon, Quinta da Torre, 2829-516, Caparica, Portugal

    João Lita da Silva

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  1. João Lita da Silva
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Correspondence to João Lita da Silva.

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Lita da Silva, J. Convergence in \(\varvec{p}\)-Mean for Arrays of Random Variables. Results Math 74, 38 (2019). https://doi.org/10.1007/s00025-019-0959-1

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  • DOI: https://doi.org/10.1007/s00025-019-0959-1

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