An Estimator of Population Variance Using Multi-Auxiliary Information

Vyas Dubey; Reena

doi:10.52228/JRUB.2024-37-1-8

Journal of Ravishankar University

Pt. Ravishankar Shukla University, Raipur, Chhattisgarh

PART-B

(SCIENCE)

ISSN: 0970-5910

Abstract View

Submit Article

An Estimator of Population Variance Using Multi-Auxiliary Information

Author(s): Vyas Dubey, Reena

Email(s): dubey_vyas@rediffmail.com , sonkarreena011@gmail.com

Address: School of Studies in Statistics, Pt. Ravishankar Shukla University, Raipur, Chhattisgarh- 492010, India.
School of Studies in Statistics, Pt. Ravishankar Shukla University, Raipur, Chhattisgarh- 492010, India.
*Corresponding Author: sonkarreena011@gmail.com (Reena)

Published In: Volume - 37, Issue - 1, Year - 2024

DOI: 10.52228/JRUB.2024-37-1-8

View HTML

View PDF

ABSTRACT:
In this article, an estimator of population variance using multi-auxiliary information has been proposed. It is seen that under certain conditions, the proposed estimator is less biased and more efficiency than existing estimators. Theoretical results are supported numerically. Moreover, a simulation study also has been made.

Keywords:

Cite this article:
Dubey and Reena (2024). An Estimator of Population Variance Using Multi-Auxiliary Information. Journal of Ravishankar University (Part-B: Science), 37(1), pp. 126-140. DOI:DOI: https://doi.org/10.52228/JRUB.2024-37-1-8

References

1. Cebnan, A. and Gracia, M. R. (1997). Variance Estimation Using Auxiliary Information: An Almost Unbiased Multivariate Ratio Estimator. Metrika, 45, 171- 178.

2. Das, A. K. and Tripathi, T. P. (1978). Use of Auxiliary Information in Estimating the Finite Population Variance. Sankhya C, 40, 139-148. https://cir.nii.ac.jp/crid/1571417125041903104.

3. Gupta, P.C. and Adhvaryu, D. (1982): On Some Unbiased Product Type Strategies. Journal of Indian Society of Agricultural Statistics. 34, 48-54.

4. Isaki, T. (1983). Variance Estimation Using Auxiliary Information. Journal of the American Statistical Association, 78, 117-123.

5. Olayiwola, O. M., Olawoyin, O. I. and Audu, A. (2021). New Exponential-Type Estimators of Finite Population Variance Using Auxiliary Information. Sri Lankan Journal of Applied Statistics, 2-22.

6. Ray, S.K. and Sahai, A. (1980): Efficient Families of Ratio and Product Type Estimators. Biometrika, 67, 211-215.

7. Rao, J. N. K. (1969). Some Small-Sample Results in Ratio and Regression Estimation, Journal of the Indian Statistical Association, 6, 160-168.

8. Srivastava, R. S., Srivastava, S. P. & Khare, B. B. (1989). Chain Ratio Type Estimator for Ratio of Two Population Mean Using Auxiliary Characters. Communications in Statistics- Theory and Methods, 18, 3917-3926. https://doi.org/10.1080/03610928908830131.

9. Srivastava, S. K. (1967). An Estimator Using Auxiliary Information in Sample Surveys Calcutta Statistical Association Bulletin, 16, 121-132.

10. Srivastava, S. K. (1971). A Generalized Estimator for the Mean of a Finite Population Using Multi-auxiliary Information, Journal of the American Statistical Association, 66, 404-407.

11. Steel, R. G. D. and Torrrie, J. H. (1960). Principles and Procedures of Statistics, McGraw Hill Book Co.

12. Sukhatme, B.V. and Chand, L. (1977). Multivariate Ratio Type Estimators. Proceedings of American Statistical association, Social Statistics Section, 927-931.

13. Swain, A. (2015). Generalized Estimator of Finite Population Variance. Journal of Statistical Theory and Applications, 14, 45–51.

14. Yadav S. K. and Kadilar, C. (2014). A Two-Parameter Variance Estimator Using Auxiliary Information. Applied Mathematics and Computation, 226, 117–122.

Related Images: