On the asymptotic behaviour of the integral \(\int_0^\infty e^{itx}\left(\frac{1}{x^\alpha}-\frac{1}{[x^\alpha]+1}\right)dx (t\to 0)\) and rates of convergence to \(\alpha\)-stable limit laws
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Publication:5945533
DOI10.4171/ZAA/1022zbMath0985.41022OpenAlexW1977084278MaRDI QIDQ5945533
Publication date: 2 June 2002
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/zaa/1022
Infinitely divisible distributions; stable distributions (60E07) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Metric theory of continued fractions (11K50) Tauberian theorems (40E05)
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- Sequences, discrepancies and applications
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- Rates of Convergence in Stable Limit Theorems for Sums of Exponentially Ψ-mixing Random Variables with an Application to Metric Theory of Continued Fractions
- Exact Rates of Convergence to a Stable Law
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