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Moderate deviations for M-estimators

Test, 2002
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Moderate Deviations and Large Deviations for Kernel Density Estimators

Journal of Theoretical Probability, 2003
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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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Probabilities of moderate deviations

Journal of Soviet Mathematics, 1982
Let 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, 2008
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Probability of moderate deviations for multiplicative functions

Lithuanian Mathematical Journal, 1989
Summary: 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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A Local Limit Theorem for Moderate Deviations

Bulletin of the London Mathematical Society, 2001
The author establishes a uniform estimate for the mass function \(P(S_m =y)\) of an integer-valued random walk when \(y\to\infty\) and \((y-m\mu)/ \sqrt{m} \to \infty,\) where \(\mu\) is the mean of the step distribution. The assumptions are that the mass function \(p\) of the step distribution is regularly varying at \(\infty\) with \(-\kappa\), where
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Large and moderate deviations for L-statistics

Lithuanian Mathematical Journal, 1992
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Moderate Deviations

2011
Louis H. Y. Chen, Larry Goldstein, Qi-Man Shao   +2 more
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Lower deviation and moderate deviation probabilities for maximum of a branching random walk

Annales De L'institut Henri Poincare (B) Probability and Statistics, 2020
Xinxin Chen, Hui He
exaly