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International Journal of Mathematics and Mathematical Sciences
Volume 16, Issue 1, Pages 165-168

On a conditional Cauchy functional equation of several variables and a characterization of multivariate stable distributions

1Department of Mathematics and Statistics, Bowling Green State University, Bowling Green 43403-0221, Ohio, USA
2Department of Mathematics, University of Louisville, Louisville 40292, Kentucky, USA

Received 19 February 1991; Revised 12 May 1992

Copyright © 1993 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [3 citations]

The following is the list of published articles that have cited the current article.

  • Arjun K. Gupta, Truc T. Nguyen, and Wei-Bin Zeng, “Characterization of multivariate distributions through a functional equation of their characteristic functions,” Journal of Statistical Planning and Inference, vol. 63, no. 2, pp. 187–201, 1997. View at Publisher · View at Google Scholar
  • Arjun K. Gupta, Keshav Jagannathan, Truc T. Nguyen, and Damodar N. Shanbhag, “Characterizations of stable laws via functional equations,” Mathematische Nachrichten, vol. 279, no. 5-6, pp. 571–580, 2006. View at Publisher · View at Google Scholar
  • Barry C. Arnold, and G.G. Hamedani, “Bivariate, Multivariate and Matrix Variate Normal Characterizations: A BRIEF SURVEY II,” Communications in Statistics - Theory and Methods, pp. 0–0, 2017. View at Publisher · View at Google Scholar