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Convergence in p-mean for arrays of row-wise extended negatively dependent random variables

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Abstract

Some convergence results in mean of order p for arrays of row-wise extended negatively dependent random variables are presented under asymptotic integrability conditions. A Rosenthal type inequality for these dependent structures is also announced playing a central role in our approach to this issue. As consequence, well-known results about convergence in p-mean for random variables will be extended.

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    Authors and Affiliations

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

      J. Lita da Silva

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    1. J. Lita da Silva
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    Correspondence to J. Lita da Silva.

    Additional information

    J. Lita da Silva 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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    da Silva, J.L. Convergence in p-mean for arrays of row-wise extended negatively dependent random variables. Acta Math. Hungar. 150, 346–362 (2016). https://doi.org/10.1007/s10474-016-0645-7

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    • DOI: https://doi.org/10.1007/s10474-016-0645-7

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