Results 211 to 220 of about 1,443,825 (234)

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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Large and moderate deviations for a discrete-time marked Hawkes process

Communications in Statistics - Theory and Methods, 2023
Haixu Wang
exaly  

Delta method in large deviations and moderate deviations for estimators

Annals of Statistics, 2011
Xingqiu Zhao, Fuqing Gao
exaly  

Moderate Deviations

2012
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Moderate deviations for martingale differences and applications to φ -mixing sequences

Stochastic and Stochastics Reports, 2002
Hacène Djellout
exaly