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math.PR2004
Universal Adaptive Estimations and Confidence Intervals in the Nonparametric Statistics
Eugene Ostrovsky, Leonid Sirota
The paper considers so-called adaptive estimations of regression, distribution density and spectral density of a Gaussian stationary sequence, asymptotically optimal in order at a…
math.PR2004★ 15 cited
Bide - Side Exponential and Moment Inequalities for Tails of Distributions of Polynomial Martingales
Eugene Ostrovsky
In this paper non-asymptotic exponential estimates are derived for the tail distribution of polynomial martingale differences in terms unconditional tails distributions of summands…