ASPG Menu
search

American Scientific Publishing Group

verified Journal

International Journal of Neutrosophic Science

ISSN
Online: 2690-6805 Print: 2692-6148
Frequency

Continuous publication

Publication Model

Open access · Articles freely available online · APC applies after acceptance

International Journal of Neutrosophic Science
Full Length Article

• 2020

NEUTROSOPHIC RATIO TYPE ESTIMATORS FOR ESTIMATING THE POPULATION MEAN

ZaighamTahir * ,
HinaKhan 1
1GC University, Lahore
* Corresponding Author.

Abstract

In previous studies, many researchers have estimated the mean of the finite population in the presence of auxiliary information under classical statistics when data is stable and determined but the problem arises when the data is uncertain, data may be imprecise, ambiguous, incomplete and vague. In these situations, Neutrosophic Statistics can be applied. In this article, we developed the neutrosophic ratio type estimators for estimating the mean of the finite population using an auxiliary variable under Neutrosophic data. Unbiasedness at order one was proved and the efficiencies of the proposed neutrosophic ratio type estimators using mean square errors are also discussed by neutrosophic interval data of temperature. These proposed ratio type estimators are very helpful for obtaining estimates of the mean as in SRSWOR when our sample has some indeterminacy.

Keywords

Neutrosophic Classical Statistics Ratio Estimators Bias Mean Square Error Relative Efficiency.

References

1.      Aslam, M. (2018). A new sampling plan using neutrosophic process loss consideration. Symmetry10(5), 132.

2.      Bahl, S., & Tuteja, R. (1991). Ratio and product type exponential estimators. Journal of information and optimization sciences12(1), 159-164.

3.      Cochran, W. G. (1940). The estimation of the yields of cereal experiments by sampling for the ratio of grain to total produce. The journal of agricultural science30(2), 262-275.

4.      Chen, J., Ye, J., & Du, S. (2017). Scale effect and anisotropy analyzed for neutrosophic numbers of rock joint roughness coefficient based on neutrosophic statistics. Symmetry9(10), 208.

5.      Kadılar, C., & Cıngı, H. (2006). An improvement in estimating the population mean by using the correlation coefficient. Hacettepe Journal of Mathematics and Statistics35(1), 103-109.

6.      Khan, H., Sanaullah, A., Khan, M. A., & Siddiqi, A. F. (2014). Improved exponential ratio type estimators for estimating population mean regarding full information in survey sampling. World Applied Science Journal26(5), 1897-1902.

7.      Pandey, B. N., & Dubey, V. (1988). Modified product estimator using coefficient of variation of auxiliary variate. Assam Statistical Rev2(2), 64-66.

8.      Robson, D. S. (1957). Applications of multivariate polykays to the theory of unbiased ratio-type estimation. Journal of the American Statistical Association52(280), 511-522.

9.      Sisodia, B. V. S., & Dwivedi, V. K. (1981). Modified ratio estimator using coefficient of variation of auxiliary variable. Journal-Indian Society of Agricultural Statistics.

10.  Singh, H. P., & Kakran, M. S. (1993). A modified ratio estimator using known coefficient of kurtosis of an auxiliary character. Revised version submitted to. Journal of Indian Society of Agricultural Statistics.

11.  Smarandache, F. (1998). Neutrosophy: neutrosophic probability, set, and logic: analytic synthesis & synthetic analysis.

12.  Singh, H. P., & Tailor, R. (2003). Use of known correlation coefficient in estimating the finite population mean. Statistics in transition6(4), 555-560

13.  Singh, R., Chauhan, P., Smarandache, F., & Sawan, N. (2007). Auxiliary information and a priori values in construction of improved estimators. Infinite Study.

14.  Singh, R., Kumar, M., Chaudhary, M. K., & Smarandache, F. (2009). Estimation of mean in presence of non-response using exponential estimator. Infinite Study.

15.  Smarandache, F. (2014). Introduction to neutrosophic statistics. Infinite Study.

16.  Upadhyaya, L. N., & Singh, H. P. (1999). Use of transformed auxiliary variable in estimating the finite population mean. Biometrical Journal: Journal of Mathematical Methods in Biosciences41(5), 627-636.

17.  Upadhyaya, L. N., Singh, H. P., Chatterjee, S., & Yadav, R. (2011). Improved ratio and product exponential type estimators. Journal of Statistical Theory and Practice5(2), 285-302.


Cite This Article

Choose your preferred format

format_quote
, ZaighamTahir, , HinaKhan. "NEUTROSOPHIC RATIO TYPE ESTIMATORS FOR ESTIMATING THE POPULATION MEAN." International Journal of Neutrosophic Science, vol. , no. , 2020, pp. . DOI:
, Z., , H. (2020). NEUTROSOPHIC RATIO TYPE ESTIMATORS FOR ESTIMATING THE POPULATION MEAN. International Journal of Neutrosophic Science, (), . DOI:
, ZaighamTahir, , HinaKhan. "NEUTROSOPHIC RATIO TYPE ESTIMATORS FOR ESTIMATING THE POPULATION MEAN." International Journal of Neutrosophic Science , no. (2020): . DOI:
, Z., , H. (2020) 'NEUTROSOPHIC RATIO TYPE ESTIMATORS FOR ESTIMATING THE POPULATION MEAN', International Journal of Neutrosophic Science, (), pp. . DOI:
Z, H. NEUTROSOPHIC RATIO TYPE ESTIMATORS FOR ESTIMATING THE POPULATION MEAN. International Journal of Neutrosophic Science. 2020;():. DOI:
Z. , H. , "NEUTROSOPHIC RATIO TYPE ESTIMATORS FOR ESTIMATING THE POPULATION MEAN," International Journal of Neutrosophic Science, vol. , no. , pp. , 2020. DOI:
Digital Archive Ready