22 citations · 217 across the 88 of their papers we have counts for
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Confidence regions for the multidimensional density in the uniform norm based on the recursive Wolverton-Wagner estimation
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
We construct an optimal exponential tail decreasing confidence region for an unknown density of distribution in the Lebesgue-Riesz as well as in the uniform} norm, built on the sam…
Problem of Estimation of Fractional Derivative for a Spectral Function of Gaussian Stationary Processes
E. Ostrovsky, L. Sirota
We study the problem of nonparametric estimation of the fractional derivative of unknown spectral function of Gaussian stationary sequence (time series) and show that these problem…
Lower boundaries for parametric estimations in different norms
E. Ostrovsky, L. Sirota
We establish some new non-asymptotical lower bounds for deviation of regular unbiased estimation of unknown parameter from its true value in different norms, alike the classical Ra…
Parametric density-based optimization of partition in cluster analysis, with applications
E. Ostrovsky, L. Sirota, A. Zeldin
We developed an optimal in the natural sense algorithm of partition in cluster analysis based on the densities of observations in the different hypotheses. These densities may be c…