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Predictability of In-Office SureSmile<sup>®</sup> Clear Aligners: A Retrospective Analysis of Anterior Tooth Movements. [PDF]
Dent J (Basel)Georgi GM +7 more
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Moderate deviations for M-estimators [PDF]
Test, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MIGUEL A Arcones
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Moderate deviations in cycle count
Random Structures and Algorithms, 2023 AbstractWe prove moderate deviations bounds for the lower tail of the number of odd cycles in a random graph. We show that the probability of decreasing triangle density by , is whenever . These complement results of Goldschmidt, Griffiths, and Scott, who showed that for , the probability is .
Joe Neeman +2 more
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Results on Probabilities of Moderate Deviations
Annals of Probability, 1974 The convergence rate problem for probabilities of moderate deviations is completely solved by giving a necessary and sufficient condition for the existence of the absolute moment of order $c^2 + 2, c > 0$, in terms of probabilities of moderate deviations.
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On Probabilities of Moderate Deviations
Journal of Mathematical Sciences, 2002The author investigates the asymptotic behaviour of the distribution of a sum of independent random variables in zones of moderate deviations. Sufficient conditions are presented, in terms of moments, for the normal convergence in these zones. The author uses a generalization of the Esseen inequality for the remainder term in the central limit theorem.
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Moderate Deviations for Bayes Posteriors
Scandinavian Journal of Statistics, 2002Let (Xk)k∈ be a sequence of i.i.d. random variables taking values in a set ω, and consider the problem of estimating the law of X1 in a Bayesian framework. We prove, under mild conditions on the prior, that the sequence of posterior distributions satisfies a moderate deviation principle.
Eichelsbacher, P, Ganesh, AJ
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