12 citations · 22 across the 8 of their papers we have counts for
9 papers
Quantile-respectful density estimation based on the Harrell-Davis quantile estimator
Andrey Akinshin
Traditional density and quantile estimators are often inconsistent with each other. Their simultaneous usage may lead to inconsistent results. To address this issue, we propose a n…
Weighted quantile estimators
Andrey Akinshin
In this paper, we consider a generic scheme that allows building weighted versions of various quantile estimators, such as traditional quantile estimators based on linear interpola…
Finite-sample Rousseeuw-Croux scale estimators
Andrey Akinshin
The Rousseeuw-Croux , scale estimators and the median absolute deviation can be used as consistent estimators for the standard deviation under nor…
Quantile absolute deviation
Andrey Akinshin
The median absolute deviation (MAD) is a popular robust measure of statistical dispersion. However, when it is applied to non-parametric distributions (especially multimodal, discr…
Finite-sample bias-correction factors for the median absolute deviation based on the Harrell-Davis quantile estimator and its trimmed modification
Andrey Akinshin
The median absolute deviation is a widely used robust measure of statistical dispersion. Using a scale constant, we can use it as an asymptotically consistent estimator for the sta…
Trimmed Harrell-Davis quantile estimator based on the highest density interval of the given width
Andrey Akinshin
Traditional quantile estimators that are based on one or two order statistics are a common way to estimate distribution quantiles based on the given samples. These estimators are r…
Accuracy of reconstruction of spike-trains with two near-colliding nodes
Andrey Akinshin, Gil Goldman, Vladimir Golubyatnikov +1
We consider a signal reconstruction problem for signals of the form from their moments We assume $m_k…
Geometry of error amplification in solving Prony system with near-colliding nodes
Andrey Akinshin, Gil Goldman, Yosef Yomdin
We consider a reconstruction problem for ``spike-train'' signals of an a priori known form from their moments $m_k(F)=\int x^kF…
Accuracy of spike-train Fourier reconstruction for colliding nodes
Andrey Akinshin, Dmitry Batenkov, Yosef Yomdin
We consider Fourier reconstruction problem for signals F, which are linear combinations of shifted delta-functions. We assume the Fourier transform of F to be known on the frequenc…