Georgy Shevlyakov
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Highly Efficient Robust and Stable M-Estimates of Location Open
This article is partially a review and partially a contribution. The classical two approaches to robustness, Huber’s minimax and Hampel’s based on influence functions, are reviewed with the accent on distribution classes of a non-neighborh…
On outlier detection with the Chebyshev type inequalities Open
This work considers algorithms of outlier detection based on the Chebyshev inequality. It compares these algorithms with such classical methods as Tukey’s boxplot, the N-sigma rule and its robust modifications based on MAD and FQ scale est…
Closed-Form Distance Estimators under Kalman Filtering Framework with Application to Object Tracking Open
In this paper, the minimum mean square error (MMSE) estimation problem for calculation of distances between two signals via the Kalman filtering framework is considered. The developed algorithm includes two stages: the Kalman estimate of a…
Outsiders: The Definition and Critical Analysis Open
A critical analysis of the classical definition of outsiders is given. Some examples show that this notion is not universal and has at least two drawbacks. Particularly, the set of outsiders may have the probability arbitrary close to one …
Stream Data Preprocessing: Outlier Detection Based on the Chebyshev Inequality with Applications Open
A novel method of outlier detection for preprocessing stream data in the conditions of uncertainty when the data measurement means and their standard errors as the only available summary information about the initial data statistics is pro…
Editorial for Special Issue: Underwater Acoustics, Communications, and Information Processing Open
Information and communication technologies (ICT) have brought forth various useful tools and services, enabling another Internet-based industrial revolution over the last few decades [...]
Editorial for Special Issue: Fishery Acoustics, Applied Sciences, and Practical Applications Open
Fishery acoustics (How to detect and monitor fish and other marine life [...]
A Modification of Linfoot's Informational Correlation Coefficient Open
Performance of the Linfoot's informational correlation coefficient is experimentally studied at the bivariate normal distribution. It is satisfactory in the case of a strong correlation and on large samples. To reduce the bias of estimatio…
Wiley Series in Probability and Statistics Open
The Wiley Series in Probability and Statistics is well established and authoritative.It covers many topics of current research interest in both pure and applied statistics and probability theory.Written by leading statisticians and institu…
Robust Estimation of the Correlation Coefficient: An Attempt of Survey Open
Various groups of robust estimators of the correlation coefficient are introduced. The performance of most prospective estimators is examined at contaminated normal distributions both on small and large samples, and the best of the propose…