Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability

Year 2025, Volume: 8 Issue: 2, 108 - 115, 27.06.2025

Carlos Granados , Ömer Kişi

https://doi.org/10.32323/ujma.1681099

Abstract

This paper presents a novel perspective on established neutrosophic statistical convergence by utilizing ideals and proposing new ideas. Specifically, we explore the neutrosophic $\mathcal{I}$-statistical convergence of sequences of neutrosophic random variables (briefly, NRVs) in probability, as well as the neutrosophic $\mathcal{I}% $-lacunary statistical convergence and neutrosophic $\mathcal{I}$-$\lambda $-statistical convergence of such sequences in probability. Additionally, we investigate their interconnections and examine some fundamental properties of these concepts.

Keywords

Neutrosophic random variables , $\mathcal{I} $-statistical convergence , Neutrosophic $\mathcal{I} $-lacunary statistical convergence , Neutrosophic probability , Neutrosophic $\mathcal{I} $-$\lambda$-statistical convergence

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