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A Local Limit Theorem for Moderate Deviations
Bulletin of the London Mathematical Society, 2001The 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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Delta method in large deviations and moderate deviations for estimators
Annals of Statistics, 2011Fuqing Gao, Xingqiu Zhao
exaly
Moderate deviations for parameter estimators in fractional Ornstein-Uhlenbeck process
Acta Mathematica Scientia, 2010Gao Fuqing
exaly
Large and moderate deviations in testing time inhomogeneous diffusions
Journal of Statistical Planning and Inference, 2011Shoujiang Zhao
exaly
Moderate deviations for a nonparametric estimator of sample coverage
Annals of Statistics, 2013Fuqing Gao
exaly
Moderate deviations for empirical measures of Markov chains: lower bounds
Annals of Probability, 1997A De Acosta
exaly
Moderate deviations for martingale differences and applications to φ -mixing sequences
Stochastic and Stochastics Reports, 2002Hacène Djellout
exaly

