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

Carlos Granados; Ömer Kişi

doi:10.32323/ujma.1681099

EN

Neutrosophic $\mathcal{I}$-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 $\mathcal{I}$-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

References

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Details

Primary Language

English

Subjects

Pure Mathematics (Other)

Journal Section

Research Article

Authors

Carlos Granados ^*
0000-0002-7754-1468
Colombia

Ömer Kişi
0000-0001-6844-3092
Türkiye

Early Pub Date

June 27, 2025

Publication Date

June 27, 2025

Submission Date

April 21, 2025

Acceptance Date

June 26, 2025

Published in Issue

Year 2025 Volume: 8 Number: 2

DOI

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

IZ

https://izlik.org/JA84EB89LD

APA

Granados, C., & Kişi, Ö. (2025). Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability. Universal Journal of Mathematics and Applications, 8(2), 108-115. https://doi.org/10.32323/ujma.1681099

AMA

1.Granados C, Kişi Ö. Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability. Univ. J. Math. Appl. 2025;8(2):108-115. doi:10.32323/ujma.1681099

Chicago

Granados, Carlos, and Ömer Kişi. 2025. “Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability”. Universal Journal of Mathematics and Applications 8 (2): 108-15. https://doi.org/10.32323/ujma.1681099.

EndNote

Granados C, Kişi Ö (June 1, 2025) Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability. Universal Journal of Mathematics and Applications 8 2 108–115.

IEEE

[1]C. Granados and Ö. Kişi, “Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability”, Univ. J. Math. Appl., vol. 8, no. 2, pp. 108–115, June 2025, doi: 10.32323/ujma.1681099.

ISNAD

Granados, Carlos - Kişi, Ömer. “Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability”. Universal Journal of Mathematics and Applications 8/2 (June 1, 2025): 108-115. https://doi.org/10.32323/ujma.1681099.

JAMA

1.Granados C, Kişi Ö. Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability. Univ. J. Math. Appl. 2025;8:108–115.

MLA

Granados, Carlos, and Ömer Kişi. “Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability”. Universal Journal of Mathematics and Applications, vol. 8, no. 2, June 2025, pp. 108-15, doi:10.32323/ujma.1681099.

Vancouver

1.Carlos Granados, Ömer Kişi. Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability. Univ. J. Math. Appl. 2025 Jun. 1;8(2):108-15. doi:10.32323/ujma.1681099