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Criteria for the strong law of large numbers for sequences of arbitrary random vectors

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  • Etemadi, N.

Abstract

In the following note we obtain sufficient conditions so that the strong law of large numbers would hold for an arbitrary sequence of random variables taking values in a separable Banach space. The conditions are sharp in the sense that they imply the strong law for 2-exchangeable random vectors and they become necessary when the random vectors are pairwise independent, identically distributed.

Suggested Citation

  • Etemadi, N., 1997. "Criteria for the strong law of large numbers for sequences of arbitrary random vectors," Statistics & Probability Letters, Elsevier, vol. 33(2), pages 151-157, April.
    • Handle: RePEc:eee:stapro:v:33:y:1997:i:2:p:151-157
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    References listed on IDEAS

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    1. Etemadi, N. & Kaminski, M., 1996. "Strong law of large numbers for 2-exchangeable random variables," Statistics & Probability Letters, Elsevier, vol. 28(3), pages 245-250, July.
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    Cited by:

    1. Etemadi, N., 1999. "Maximal inequalities for averages of i.i.d. and 2-exchangeable random variables," Statistics & Probability Letters, Elsevier, vol. 44(2), pages 195-200, August.

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