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Strong law of large numbers for double sequences of pairwise M-dependent real and multivalued random variables

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Abstract

The strong law of large numbers for a double sequence of pairwise M-dependent random variables is established. An extension to Kuratowski-convergence of the strong law of large numbers for a double sequence of pairwise M-dependent multivalued random variables with closed values is stated.

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Acknowledgements

The authors are most grateful to the Referees for their suggestions and their careful reading of this manuscript. This work was completed with the support of our TeX-pert.

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Authors and Affiliations

  1. Laboratory of Modeling and Mathematical Structures, Faculty of Sciences and Technology, University of Sidi Mohamed Ben Abdellah, Fez, Morocco

    El-Moustafid Mohamed, M’hamed El-Louh & Fatima Ezzaki

Authors
  1. El-Moustafid Mohamed
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  2. M’hamed El-Louh
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  3. Fatima Ezzaki
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Correspondence to El-Moustafid Mohamed.

Additional information

Communicated by Un Cig Ji.

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Mohamed, EM., El-Louh, M. & Ezzaki, F. Strong law of large numbers for double sequences of pairwise M-dependent real and multivalued random variables. Adv. Oper. Theory 9, 26 (2024). https://doi.org/10.1007/s43036-024-00318-9

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  • DOI: https://doi.org/10.1007/s43036-024-00318-9

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