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Regular variation and generalized domains of attraction in k

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  • Meerschaert, Mark M.

Abstract

William Feller used regular variation to give an elegant description of domains of attraction in 1. In this paper we extend Feller's results to the case of generalized domains of attraction in k.

Suggested Citation

  • Meerschaert, Mark M., 1993. "Regular variation and generalized domains of attraction in k," Statistics & Probability Letters, Elsevier, vol. 18(3), pages 233-239, October.
    • Handle: RePEc:eee:stapro:v:18:y:1993:i:3:p:233-239
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    Citations

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    Cited by:

    1. Mark M. Meerschaert & Hans-Peter Scheffler, 1999. "Sample Covariance Matrix for Random Vectors with Heavy Tails," Journal of Theoretical Probability, Springer, vol. 12(3), pages 821-838, July.
    2. Mark M. Meerschaert & Hans-Peter Scheffler, 1997. "Spectral Decomposition for Generalized Domains of Semistable Attraction," Journal of Theoretical Probability, Springer, vol. 10(1), pages 51-71, January.
    3. Steven J. Sepanski, 1999. "A Compact Law of the Iterated Logarithm for Random Vectors in the Generalized Domain of Attraction of the Multivariate Gaussian Law," Journal of Theoretical Probability, Springer, vol. 12(3), pages 757-778, July.
    4. Steven J. Sepanski, 1997. "Some Invariance Principles for Random Vectors in the Generalized Domain of Attraction of the Multivariate Normal Law," Journal of Theoretical Probability, Springer, vol. 10(4), pages 1053-1063, October.

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