Equation Chapter 1 Section 1 Concentration Inequality for m-dependent Random Vectors in Hilbert Spaces

Let  be a sequence of -dependent random vectors taking values in a real separable Hilbert space. In this work we introduce concentration inequality for the partial sums of . Then, we give the weak laws of large numbers for weighted sums of .

Publication Details

Journal
VNU Journal of Science: Natural Sciences and Technology (Vietnam National University)
Published
2025-06-16
DOI
https://doi.org/10.25073/2588-1124/vnumap.4954
Primary Topic
Probability and Risk Models
Type
article
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article

Equation Chapter 1 Section 1 Concentration Inequality for m-dependent Random Vectors in Hilbert Spaces

VNU Journal of Science: Natural Sciences and Technology (Vietnam National University)
Probability and Risk Models
article

Equation Chapter 1 Section 1 Concentration Inequality for m-dependent Random Vectors in Hilbert Spaces

article en

Abstract

Let  be a sequence of -dependent random vectors taking values in a real separable Hilbert space. In this work we introduce concentration inequality for the partial sums of . Then, we give the weak laws of large numbers for weighted sums of .

VNU Journal of Science: Natural Sciences and Technology (Vietnam National University)
Reduced inequalities
Openalex Percentile: Top 33%
Probability and Risk Models
DOISourceOpenAlex
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Equation Chapter 1 Section 1 Concentration Inequality for m-dependent Random Vectors in Hilbert Spaces · VNU Journal of Science: Natural Sciences and Technology (Vietnam National University) (2025) | TGRS Research Map | TGRS