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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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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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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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Precise asymptotics for a type of order statistics
Extremes, 2005Order statistics \(X_{N(t),N(t)}\leq X_{N(t)-1,N(t)}\leq\dots,\leq X_{1,N(t)}\) are considered for an i.i.d. sample of random size \(N(t)\), where \(N(t)\) is a counting process. The authors investigate the convergence of sums \[ G_k(\varepsilon)\sum_{n=n_0}^\infty \varphi(n) P\{X_{k,N(n)}\geq\varepsilon c_nh(n)\}=1 \] as \(\varepsilon\to 0\) for ...
Wang, Yuebao, Yan, Jigao, Yang, Yang
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PRECISE SPECTRAL ASYMPTOTICS FOR LOGISTIC EQUATIONS OF POPULATION DYNAMICS
Bulletin of the London Mathematical Society, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotically Linear Estimators of the Precision Matrix
2016This chapter looks at two approaches towards establishing confidence intervals for the entries in high-dimensional precision matrix. The first approach is based on the graphical Lasso, whereas the second one invokes the square-root node-wise Lasso as initial estimator.
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Convergence rates in precise asymptotics II
Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2013Allan Gut, Josef Steinebach
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General results on precise asymptotics under sub-linear expectations
Journal of Mathematical Analysis and Applications, 2022exaly
Short-dated smile under rough volatility: asymptotics and numerics
Quantitative Finance, 2022Peter K Friz, Paul Gassiat, Paolo Pigato
exaly
Precise asymptotics in the self-normalized law of the iterated logarithm
Journal of Mathematical Analysis and Applications, 2008Li-Xin Zhang
exaly

