Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability
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 we...
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| Format: | Article |
| Language: | English |
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Emrah Evren KARA
2025-06-01
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| Series: | Universal Journal of Mathematics and Applications |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/4794661 |
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| _version_ | 1839634957225426944 |
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| author | Carlos Granados Ömer Kişi |
| author_facet | Carlos Granados Ömer Kişi |
| author_sort | Carlos Granados |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-df9e23b618ab49a49135b5fbce9661f6 |
| institution | Matheson Library |
| issn | 2619-9653 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Universal Journal of Mathematics and Applications |
| spelling | doaj-art-df9e23b618ab49a49135b5fbce9661f62025-07-09T15:57:38ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532025-06-018210811510.32323/ujma.16810991225Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In ProbabilityCarlos Granados0https://orcid.org/0000-0002-7754-1468Ömer Kişi1https://orcid.org/0000-0001-6844-3092Universidad Nacional Abierta y a DistanciaBARTIN UNIVERSITYThis 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 $-statistical convergence of such sequences in probability. Additionally, we investigate their interconnections and examine some fundamental properties of these concepts.https://dergipark.org.tr/en/download/article-file/4794661neutrosophic random variables$\mathcal{i} $-statistical convergenceneutrosophic $\mathcal{i} $-lacunary statistical convergenceneutrosophic probabilityneutrosophic $\mathcal{i} $-$\lambda$-statistical convergence |
| spellingShingle | Carlos Granados Ömer Kişi Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability Universal Journal of Mathematics and Applications neutrosophic random variables $\mathcal{i} $-statistical convergence neutrosophic $\mathcal{i} $-lacunary statistical convergence neutrosophic probability neutrosophic $\mathcal{i} $-$\lambda$-statistical convergence |
| title | Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability |
| title_full | Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability |
| title_fullStr | Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability |
| title_full_unstemmed | Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability |
| title_short | Neutrosophic $\mathcal{I}$-Statistical Convergence of a Sequence of Neutrosophic Random Variables In Probability |
| title_sort | neutrosophic mathcal i statistical convergence of a sequence of neutrosophic random variables in probability |
| topic | neutrosophic random variables $\mathcal{i} $-statistical convergence neutrosophic $\mathcal{i} $-lacunary statistical convergence neutrosophic probability neutrosophic $\mathcal{i} $-$\lambda$-statistical convergence |
| url | https://dergipark.org.tr/en/download/article-file/4794661 |
| work_keys_str_mv | AT carlosgranados neutrosophicmathcalistatisticalconvergenceofasequenceofneutrosophicrandomvariablesinprobability AT omerkisi neutrosophicmathcalistatisticalconvergenceofasequenceofneutrosophicrandomvariablesinprobability |