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Metric entropy of ellipsoids in Banach spaces: Techniques and precise asymptotics
Thomas Allard, Helmut Bölcskei
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On the Convergence Rate in Precise Asymptotics
Theory of Probability and Its Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
L V Rozovsky
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Precise asymptotics of weighted sequences and their applications
Acta Mathematica Hungarica, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Choi, B. J., Ji, U. C., Shin, D.
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Precise Asymptotics for Lévy Processes
Acta Mathematica Sinica, English Series, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Zhi Shui, Su, Chun
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Precise Asymptotic Analysis of the Tunstall Code
2006 IEEE International Symposium on Information Theory, 2006We study the Tunstall code using the machinery from the analysis of algorithms literature. In particular, we propose an algebraic characterization of the Tunstall code which, together with tools like the Mellin transform and the Tauberian theorems, leads to new results on the variance and a central limit theorem for dictionary phrase lengths.
Michael Drmota +3 more
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A converse to precise asymptotic results
Statistics & Probability Letters, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Deli, Spătaru, Aurel
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On Construction of High Precision Asymptotic Expansions
Theory of Probability & Its Applications, 2016Summary: This paper proposes new asymptotic expansions in the central limit theorem which permit us to approximate distributions of normalized sums of independent random variables with an accuracy which exceeds by several orders of accuracy the estimates in the Berry-Esseen theorem.
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Precise Asymptotics in Spitzer's Law of Large Numbers
Journal of Theoretical Probability, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Precise Asymptotic Formulas for Semilinear Eigenvalue Problems
Annales Henri Poincaré, 2001The boundary value problem under consideration is \[ -u''(t)=|u(t)|^{p-1}u(t)-\lambda u(t), t\in (0,1); u(0)=u(1)=0, \tag \(*\) \] where \(p>1\) and \(\lambda\in \mathbb{R}\) is an eigenvalue parameter. As it is well known by \textit{H. Berestycki} [J. Funct. Anal.
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Asymptotic Formulas for Precision of Discrete Spectral Problems
Journal of Mathematical Sciences, 2001Summary: We find principal terms in the power expansion, with respect to the step of a square grid, of the eigenvalue error for a discrete analogue of spectral problems for elliptic operators of the second and fourth order. We use the compactness of a bounded set in a Hilbert space, which gives the mean convergence of piecewise-constant fillings of ...
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