Improved neutrosophic exponential-ratio estimator of population mean with simple random sampling
In this paper we present a neutrosophic exponential-ratio estimator for calculating the population mean using simple random sampling. In sampling methods classical statistics always depends on exact and complete data, but when we are dealing with unclear data these all become insufficient. By managi...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-06-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/10ExponentialRatio.pdf |
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| author | Bhatt Ravi Jitendrakumar Ashish Kumar Monika Saini |
| author_facet | Bhatt Ravi Jitendrakumar Ashish Kumar Monika Saini |
| author_sort | Bhatt Ravi Jitendrakumar |
| collection | DOAJ |
| description | In this paper we present a neutrosophic exponential-ratio estimator for calculating the population mean using simple random sampling. In sampling methods classical statistics always depends on exact and complete data, but when we are dealing with unclear data these all become insufficient. By managing ambiguous and indeterminate data, neutrosophic statistics an extension of fuzzy and classical statistics addresses this drawback. The bias and mean square error (MSE) of proposed estimator are derived up to the first approximation order. Comparative study shows that it is more efficient than existing estimators, especially when we are working with data that is imprecise or of the neutrosophic kind. The proposed approach produces interval-based estimations in contrast to traditional estimators, which summarizes the unknown population mean with minimal MSE, improving reliability. The effectiveness of the estimator is confirmed by simulations and neutrosophic data sets, highlighting its potential in situations where uncertainty is common in the real world. |
| format | Article |
| id | doaj-art-644d1b1436b04b7f86bf0dfaf51b1f21 |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-06-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-644d1b1436b04b7f86bf0dfaf51b1f212025-08-20T16:29:41ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-06-018516818110.5281/zenodo.15265594Improved neutrosophic exponential-ratio estimator of population mean with simple random samplingBhatt Ravi JitendrakumarAshish Kumar Monika SainiIn this paper we present a neutrosophic exponential-ratio estimator for calculating the population mean using simple random sampling. In sampling methods classical statistics always depends on exact and complete data, but when we are dealing with unclear data these all become insufficient. By managing ambiguous and indeterminate data, neutrosophic statistics an extension of fuzzy and classical statistics addresses this drawback. The bias and mean square error (MSE) of proposed estimator are derived up to the first approximation order. Comparative study shows that it is more efficient than existing estimators, especially when we are working with data that is imprecise or of the neutrosophic kind. The proposed approach produces interval-based estimations in contrast to traditional estimators, which summarizes the unknown population mean with minimal MSE, improving reliability. The effectiveness of the estimator is confirmed by simulations and neutrosophic data sets, highlighting its potential in situations where uncertainty is common in the real world. https://fs.unm.edu/NSS/10ExponentialRatio.pdfneutrosophic statisticspopulation meanexponential-ratio estimatorbiasmean squared errorsimple random sampling |
| spellingShingle | Bhatt Ravi Jitendrakumar Ashish Kumar Monika Saini Improved neutrosophic exponential-ratio estimator of population mean with simple random sampling Neutrosophic Sets and Systems neutrosophic statistics population mean exponential-ratio estimator bias mean squared error simple random sampling |
| title | Improved neutrosophic exponential-ratio estimator of population mean with simple random sampling |
| title_full | Improved neutrosophic exponential-ratio estimator of population mean with simple random sampling |
| title_fullStr | Improved neutrosophic exponential-ratio estimator of population mean with simple random sampling |
| title_full_unstemmed | Improved neutrosophic exponential-ratio estimator of population mean with simple random sampling |
| title_short | Improved neutrosophic exponential-ratio estimator of population mean with simple random sampling |
| title_sort | improved neutrosophic exponential ratio estimator of population mean with simple random sampling |
| topic | neutrosophic statistics population mean exponential-ratio estimator bias mean squared error simple random sampling |
| url | https://fs.unm.edu/NSS/10ExponentialRatio.pdf |
| work_keys_str_mv | AT bhattravijitendrakumar improvedneutrosophicexponentialratioestimatorofpopulationmeanwithsimplerandomsampling AT ashishkumar improvedneutrosophicexponentialratioestimatorofpopulationmeanwithsimplerandomsampling AT monikasaini improvedneutrosophicexponentialratioestimatorofpopulationmeanwithsimplerandomsampling |