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Estimates of Convergence Rates to Stable Distributions on ℚ p

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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.

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References

  1. V. S. Vladimirov, I. V. Volovich, and E. I. Zelenov, The p-adic Analysis and Mathematical Physics [in Russian], Moscow (1994).

  2. A. N. Kochubei, “Limit theorems for sums of p-adic random variables,” Exposition Math., 16, 425–439 (1998).

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  4. W. H. Schikhof, Ultrametric Calculus. An Introduction to p-adic Analysis, Cambridge Univ. Press, Cambridge (1984).

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  5. K. Yasuda, “Semi-stable processes on local fields,” Tohoku Math. J., 58, 419–431 (2006).

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Correspondence to A. E. Mikhailov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 420, 2013, pp. 142–148.

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Mikhailov, A.E. Estimates of Convergence Rates to Stable Distributions on ℚ p . J Math Sci 206, 207–211 (2015). https://doi.org/10.1007/s10958-015-2304-x

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  • DOI: https://doi.org/10.1007/s10958-015-2304-x

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