Almost Sure Convergence of Weighted Sums for m-END Sequences under Sub-linear Expectations

By using Rosenthal's inequality, we discussed almost sure convergence of weighted sums for -END ( -extended negatively dependent) random variable sequence with the condition of , under sub-linear expectations. Almost sure convergence of weighted sums for END sequence in the classical probability space was extended to the almost sure convergence of weighted sums for -END random variable sequence under the sub-linear expectations.

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Publication Details

Journal
Scientific insights and discoveries review
Published
2024-09-26
DOI
https://doi.org/10.59782/sidr.v1i1.26
Primary Topic
Mathematical Approximation and Integration
Type
article
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article

Almost Sure Convergence of Weighted Sums for m-END Sequences under Sub-linear Expectations

Xili Tan, Dong He, Yong Zhang, SUN Peiyu
Scientific insights and discoveries review
Mathematical Approximation and Integration
article

Almost Sure Convergence of Weighted Sums for m-END Sequences under Sub-linear Expectations

Xili Tan, Dong He, Yong Zhang, SUN Peiyu
article en

Abstract

By using Rosenthal's inequality, we discussed almost sure convergence of weighted sums for -END ( -extended negatively dependent) random variable sequence with the condition of , under sub-linear expectations. Almost sure convergence of weighted sums for END sequence in the classical probability space was extended to the almost sure convergence of weighted sums for -END random variable sequence under the sub-linear expectations.

Scientific insights and discoveries reviewVol. 1(1)
Reduced inequalities
Openalex Percentile: Top 75%
Mathematical Approximation and Integration
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Almost Sure Convergence of Weighted Sums for m-END Sequences under Sub-linear Expectations — Xili Tan, Dong He, et al. · Scientific insights and discoveries review (2024) | TGRS Research Map | TGRS