Journal of Mathematical Sciences

, Volume 206, Issue 2, pp 207–211 | Cite as

Estimates of Convergence Rates to Stable Distributions on ℚ p

  • A. E. MikhailovEmail author

In this paper, we estimate rates of convergence of distributions of normalized sums of i.i.d. p-adic random variables to stable distributions. Bibliography: 5 titles.


Probability Measure Characteristic Function Convergence Rate Limit Distribution Haar Measure 
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    V. S. Vladimirov, I. V. Volovich, and E. I. Zelenov, The p-adic Analysis and Mathematical Physics [in Russian], Moscow (1994).Google Scholar
  2. 2.
    A. N. Kochubei, “Limit theorems for sums of p-adic random variables,” Exposition Math., 16, 425–439 (1998).zbMATHMathSciNetGoogle Scholar
  3. 3.
    A. M. Robert, A Course in p-adic Analysis, Springer (2000).Google Scholar
  4. 4.
    W. H. Schikhof, Ultrametric Calculus. An Introduction to p-adic Analysis, Cambridge Univ. Press, Cambridge (1984).zbMATHGoogle Scholar
  5. 5.
    K. Yasuda, “Semi-stable processes on local fields,” Tohoku Math. J., 58, 419–431 (2006).CrossRefzbMATHMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.St. Petersburg State University for Architecture and Civil EngineeringSt. PetersburgRussia

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