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   Articles with "inequalities sums" as a keyword



Concentration and moment inequalities for sums of independent heavy-tailed random matrices

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recommendations! Published in 2024 at "Probability Theory and Related Fields"

DOI: 10.1007/s00440-025-01412-6

Abstract: We prove Fuk-Nagaev and Rosenthal-type inequalities for sums of independent random matrices, focusing on the situation when the norms of the matrices possess finite moments of only low orders. Our bounds depend on the “intrinsic”… read more here.

Keywords: moment inequalities; random matrices; heavy tailed; sums independent ... See more keywords
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Inequalities for sums of squares of reranked differences involving ties and missing data

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recommendations! Published in 2017 at "Communications in Statistics - Theory and Methods"

DOI: 10.1080/03610926.2016.1179762

Abstract: ABSTRACT An inequality for the sum of squares of rank differences associated with Spearman’s rank correlation coefficient, when ties and missing data are present in both rankings, was established numerically in Loukas and Papaioannou (1991).… read more here.

Keywords: inequalities sums; ties missing; reranked differences; sums squares ... See more keywords

Generalizations of recent singular value inequalities for sums of products of matrices

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recommendations! Published in 2024 at "Filomat"

DOI: 10.2298/fil2428905a

Abstract: Given four n ? n complex matrices A, B, X, Y, finding possible bounds for the singular values of the new matrix AX + YB has been of interest. In this paper, we discuss this… read more here.

Keywords: value inequalities; recent singular; generalizations recent; singular value ... See more keywords

Small-Deviation Inequalities for Sums of Random Matrices

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recommendations! Published in 2019 at "Symmetry"

DOI: 10.3390/sym11050638

Abstract: Random matrices have played an important role in many fields including machine learning, quantum information theory, and optimization. One of the main research focuses is on the deviation inequalities for eigenvalues of random matrices. Although… read more here.

Keywords: deviation; inequalities sums; deviation inequalities; sums random ... See more keywords