Neutrosophic I-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability

Abstract

This paper presents a novel perspective on established neutrosophic statistical convergence by utilizing ideals and proposing new ideas. Specifically, we explore the neutrosophic I-statistical convergence of sequences of neutrosophic random variables (briefly, NRVs) in probability, as well as the neutrosophic I-lacunary statistical convergence and neutrosophic I-?-statistical convergence of such sequences in probability. Additionally, we investigate their interconnections and examine some fundamental properties of these concepts. © 2025 Elsevier B.V., All rights reserved.