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Asymptotic properties of symmetric stable distributions with small index

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Publication:1917615
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DOI10.1007/BF02362701zbMath0853.60012MaRDI QIDQ1917615

S. M. Shkol'nik, Alexander V. Nagaev

Publication date: 5 January 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

large deviationslocal limit theoremsymmetric stable distribution


Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05)


Related Items (1)

Asymptotics of maximum likelihood estimation for stable law with continuous parameterization




Cites Work

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  • On the asymptotic normality of the maximum-likelihood estimate when sampling from a stable distribution
  • On Some Fourier Methods for Inference
  • Stable Distributions in Statistical Inference: 2. Information from Stably Distributed Samples
  • Expansions for the positive stable laws
  • Estimation in Univariate and Multivariate Stable Distributions




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