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The Marcinkiewicz-Zygmund law of large numbers on the group of Euclidean motions and the diamond group

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Abstract

An analogue of the Marcinkiewicz-Zygmund strong law of large numbers is proved for the group of Euclidean motions and for the diamond group.

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References

  1. S. D. Chatterji, “AnL p-convergence theorem”,Ann. Math. Statist.,40, No. 3, 1068–1070 (1969).

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  2. Y. S. Chow and H. Teicher,Probability Theory, Springer, New York (1978).

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  3. D. Neuenschwander, “Laws of large numbers on simply connected step 2-nilpotent Lie groups”,Probab. Math. Statist. (to appear).

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Authors and Affiliations

  1. Institut de Sciences Actuarielles, Université de Lausanne, Ecole des Hautes Etudes Commerciales, CH-1015, Lausanne, Switzerland

    D. Neuenschwander

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  1. D. Neuenschwander
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Additional information

Proceedings of the Seminar on Stability Problems for Stochastic Models, Moscow, Russia, 1996, Part. I.

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Neuenschwander, D. The Marcinkiewicz-Zygmund law of large numbers on the group of Euclidean motions and the diamond group. J Math Sci 89, 1535–1540 (1998). https://doi.org/10.1007/BF02362288

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  • DOI: https://doi.org/10.1007/BF02362288

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