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Moments and Projections of Semistable Probability Measures on p-adic Vector Spaces

Author

Listed:
  • Makoto Maejima

    (Keio University)

  • Riddhi Shah

    (Keio University
    School of Mathematics,TIFR)

Abstract

In this paper, two topics on semistable probability measures on p-adic vector spaces are studied. One is the existence of absolute moments of operator-semistable probability measures and another is an answer to the question whether one can get semistability of a probability measure from that of all its projections. All results obtained here are extensions of known results for real vector spaces to p-adic vector spaces.

Suggested Citation

  • Makoto Maejima & Riddhi Shah, 2006. "Moments and Projections of Semistable Probability Measures on p-adic Vector Spaces," Journal of Theoretical Probability, Springer, vol. 19(2), pages 447-459, June.
    • Handle: RePEc:spr:jotpro:v:19:y:2006:i:2:d:10.1007_s10959-006-0018-1
    DOI: 10.1007/s10959-006-0018-1
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    References listed on IDEAS

    as
    1. Kumi Yasuda, 2000. "On Infinitely Divisible Distributions on Locally Compact Abelian Groups," Journal of Theoretical Probability, Springer, vol. 13(3), pages 635-657, July.
    2. Makoto Maejima & Gennady Samorodnitsky, 1999. "Certain Probabilistic Aspects of Semistable Laws," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(3), pages 449-462, September.
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