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Title

Algebraic Approach to Neutrosophic Confidence Intervals

  Abdulrahman Astambli 1 * ,   Mohamed Bisher Zeina 2 ,   Yasin Karmouta 3

1  Deptartment of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria
    (abdulrahman.est.96@gmail.com)

2  Deptartment of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria
    (bisher.zeina@gmail.com)

3  Deptartment of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria
    (yassinkarmouta@gmail.com)

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Doi   :   https://doi.org/10.54216/JNFS.050201

Received: August 12, 2022 Accepted: January 11, 2023

Abstract :

In this paper, confidence intervals for neutrosophic statistical populations were driven in many cases. Firstly, confidence intervals for one neutrosophic normal population parameters were driven including population’s mean which was driven under the assumption that variance is known, then it was driven under the assumption that variance is unknown and estimated based on the sample. Confidence interval for the neutrosophic variance was also driven based on sample’s estimates. Secondly, confidence intervals for two neutrosophic normal populations were driven including confidence intervals for means differences when variance are known or unknown, also confidence intervals for variances ratio for two populations were driven. All theorems and calculations were done using the AH-Isometry. Suitable numerical examples were presented and solved successfully.

Keywords :

AH-Isometry , Neutrosophic Statistics , Neutrosophic Probability , Confidence Intervals , Estimation Theory , Statistical Inference.

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Cite this Article as :
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MLA Abdulrahman Astambli, Mohamed Bisher Zeina, Yasin Karmouta. "Algebraic Approach to Neutrosophic Confidence Intervals." Full Length Article, Vol. 5, No. 2, 2023 ,PP. 08-22 (Doi   :  https://doi.org/10.54216/JNFS.050201)
APA Abdulrahman Astambli, Mohamed Bisher Zeina, Yasin Karmouta. (2023). Algebraic Approach to Neutrosophic Confidence Intervals. Journal of Full Length Article, 5 ( 2 ), 08-22 (Doi   :  https://doi.org/10.54216/JNFS.050201)
Chicago Abdulrahman Astambli, Mohamed Bisher Zeina, Yasin Karmouta. "Algebraic Approach to Neutrosophic Confidence Intervals." Journal of Full Length Article, 5 no. 2 (2023): 08-22 (Doi   :  https://doi.org/10.54216/JNFS.050201)
Harvard Abdulrahman Astambli, Mohamed Bisher Zeina, Yasin Karmouta. (2023). Algebraic Approach to Neutrosophic Confidence Intervals. Journal of Full Length Article, 5 ( 2 ), 08-22 (Doi   :  https://doi.org/10.54216/JNFS.050201)
Vancouver Abdulrahman Astambli, Mohamed Bisher Zeina, Yasin Karmouta. Algebraic Approach to Neutrosophic Confidence Intervals. Journal of Full Length Article, (2023); 5 ( 2 ): 08-22 (Doi   :  https://doi.org/10.54216/JNFS.050201)
IEEE Abdulrahman Astambli, Mohamed Bisher Zeina, Yasin Karmouta, Algebraic Approach to Neutrosophic Confidence Intervals, Journal of Full Length Article, Vol. 5 , No. 2 , (2023) : 08-22 (Doi   :  https://doi.org/10.54216/JNFS.050201)
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