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math.ST2024
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…
math.ST2013
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…