Bogdan Ćmiel

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20182025

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9 citations · 18 across the 4 of their papers we have counts for

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math.ST2018

Multiresolution analysis and adaptive estimation on a sphere using stereographic wavelets

Bogdan Ćmiel, Karol Dziedziul, Natalia Jarzębkowska

We construct an adaptive estimator of a density function on $d$ dimensional unit sphere $S^{d}$ ( $d \geq 2$ ), using a new type of spherical frames. The frames, or as we call them, s…

math.ST2018

The smoothness test for a density function

Bogdan Ćmiel, Karol Dziedziul, Barbara Wolnik

The problem of testing hypothesis that a density function has no more than $μ$ derivatives versus it has more than $μ$ derivatives is considered. For a solution, the $L^{2}$ norms of…

math.ST2018

Intermediate efficiency in nonparametric testing problems with an application to some weighted statistics

Inglot Tadeusz, Ledwina Teresa, Ćmiel Bogdan

The basic motivation and primary goal of this paper is a qualitative evaluation of the performance of a new weighted statistic for a nonparametric test for stochastic dominance bas…