Journal of Neutrosophic and Fuzzy Systems
JNFS
2771-6449
2771-6430
10.54216/JNFS
https://www.americaspg.com/journals/show/1499
2021
2021
Algebraic Approach to Neutrosophic Confidence Intervals
Deptartment of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria
Abdulrahman
Astambli
Deptartment of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria
Mohamed Bisher
Zeina
Deptartment of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria
Yasin
Karmouta
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.
2023
2023
08
22
10.54216/JNFS.050201
https://www.americaspg.com/articleinfo/24/show/1499