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Large Deviations, Moderate Deviations and LIL for Empirical Processes
Annals of Probability, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1979
In this paper we study necessary and sufficient conditions for the validity of limit theorems on moderate deviations. Moreover we analyse the remainder term appearing in the asymptotic relations.
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In this paper we study necessary and sufficient conditions for the validity of limit theorems on moderate deviations. Moreover we analyse the remainder term appearing in the asymptotic relations.
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Moderate deviations for densities in Rk
Journal of Soviet Mathematics, 1984Translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 119, 7-13 (Russian) (1982; Zbl 0496.60026).
Amosova, N. N., Richter, Wolf-Dieter
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Moderate Deviations for Martingales with Bounded Jumps
Electronic Communications in Probability, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amir Dembo
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Moderate Deviations and Large Deviations for Kernel Density Estimators
Journal of Theoretical Probability, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Probabilities of moderate deviations
Journal of Soviet Mathematics, 1982Let X1, X2, ... be a sequence of independent, identically distributed random variables, and let . The rate of convergence of probabilities of the form and is studied for any ɛ > ɛ0 and some r and ɛ0. Moreover, necessary and sufficient conditions are given that the relations be satisfied uniformly with respect to x in the region 0 ≤ x ...
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Moderate Deviations for a Class of L-Statistics
Acta Applicandae Mathematicae, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Moderate deviations for classical-quantum channels
2017 IEEE International Symposium on Information Theory (ISIT), 2017“To be considered for the 2017 IEEE Jack Keil Wolf ISIT Student Paper Award.” We show that the reliable communication through a classical-quantum channel is possible when the transmission rate approaches the channel capacity sufficiently slowly. This scenario exists between the non-vanishing error probability regime, where the rate tends to capacity ...
Hao-Chung Cheng 0001, Min-Hsiu Hsieh
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Probability of moderate deviations for multiplicative functions
Lithuanian Mathematical Journal, 1989Summary: Suppose that a sequence of multiplicative arithmetical functions \(h_ n(m)\) belongs to the class \(D^+=D^+(\phi,\psi,\rho,r,\alpha,c_ 2)\), \(\alpha >0\), there exist nonnegative strictly decreasing functions \(\phi\) (n), \(\psi\) (n), \(\rho\) (n), a real number r \((r>2)\) and a constant \(c_ 2>0\) such, that \[ \sum_{p\leq n,\quad | \ln |
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Large and moderate deviations for L-statistics
Lithuanian Mathematical Journal, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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