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On a Conjecture Concerning a Theorem of Cramér and Wold


  • Walther, Guenther


A conjecture concerning the Cramér-Wold device is answered in the negative by giving a Fourier-free, probabilistic proof using only elementary techniques. It is also shown how a geometric idea allows one to interpret the Cramér-Wold device as a special case of a more general concept.

Suggested Citation

  • Walther, Guenther, 1997. "On a Conjecture Concerning a Theorem of Cramér and Wold," Journal of Multivariate Analysis, Elsevier, vol. 63(2), pages 313-319, November.
  • Handle: RePEc:eee:jmvana:v:63:y:1997:i:2:p:313-319

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    References listed on IDEAS

    1. Joe, Harry, 1990. "Families of min-stable multivariate exponential and multivariate extreme value distributions," Statistics & Probability Letters, Elsevier, vol. 9(1), pages 75-81, January.
    2. de Haan, L. & Omey, E. & Resnick, S., 1984. "Domains of attraction and regular variation in IRd," Journal of Multivariate Analysis, Elsevier, vol. 14(1), pages 17-33, February.
    3. de Haan, L. & Resnick, S., 1987. "On regular variation of probability densities," Stochastic Processes and their Applications, Elsevier, vol. 25, pages 83-93.
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