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Precise Asymptotic Analysis of the Tunstall Code

2006 IEEE International Symposium on Information Theory, 2006
We 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
openaire   +1 more source

Precise Asymptotics in Spitzer's Law of Large Numbers

Journal of Theoretical Probability, 1999
zbMATH 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, 2001
Summary: 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 ...
openaire   +1 more source

Precise asymptotics for a type of order statistics

Extremes, 2005
Order 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, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Asymptotically Linear Estimators of the Precision Matrix

2016
This 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.
openaire   +1 more source

Convergence rates in precise asymptotics II

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2013
Allan Gut, Josef Steinebach
openaire   +1 more source

General results on precise asymptotics under sub-linear expectations

Journal of Mathematical Analysis and Applications, 2022
exaly  

Short-dated smile under rough volatility: asymptotics and numerics

Quantitative Finance, 2022
Peter K Friz, Paul Gassiat, Paolo Pigato
exaly  

Precise asymptotics in the self-normalized law of the iterated logarithm

Journal of Mathematical Analysis and Applications, 2008
Li-Xin Zhang
exaly  

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