An Effective Class of Ratio Estimators of Population Variance in Survey Sampling

Gagan Kumar; Gautam Gupta; Anubhuti Jain; Surendra Kumar

doi:10.31801/cfsuasmas.1632609

An Effective Class of Ratio Estimators of Population Variance in Survey Sampling

Abstract

Under the simple random sampling without replacement (SRSWOR) scheme, we have proposed a generalized ratio-type estimator to more effectively estimate the population variance while incorporating auxiliary information. It provides the bias and Mean Square Error (MSE) mathematical equations for a first-order approximation. Efficiency and alternative estimators are theoretically contrasted. These findings are supported by an empirical study that uses a real population dataset to show that the suggested estimator performs better than the alternatives. The proposed estimator can be used to many fields for better estimation of population variance.

Keywords

References

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Details

Primary Language

English

Subjects

Applied Statistics

Journal Section

Research Article

Authors

Gagan Kumar This is me
0009-0006-1399-6099
India

Gautam Gupta
0009-0005-6280-3030
India

Anubhuti Jain This is me
0000-0003-0107-6667
India

Surendra Kumar ^*
0009-0002-8468-7032
India

Publication Date

September 26, 2026

Submission Date

February 5, 2025

Acceptance Date

January 14, 2026

Published in Issue

Year 2026 Volume: 75 Number: 3

DOI

https://doi.org/10.31801/cfsuasmas.1632609

IZ

https://izlik.org/JA25NU87TH

Cite

RIS / Bibtex

APA

Kumar, G., Gupta, G., Jain, A., & Kumar, S. (2026). An Effective Class of Ratio Estimators of Population Variance in Survey Sampling. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 75(3), 374-382. https://doi.org/10.31801/cfsuasmas.1632609

AMA

1.Kumar G, Gupta G, Jain A, Kumar S. An Effective Class of Ratio Estimators of Population Variance in Survey Sampling. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;75(3):374-382. doi:10.31801/cfsuasmas.1632609

Chicago

Kumar, Gagan, Gautam Gupta, Anubhuti Jain, and Surendra Kumar. 2026. “An Effective Class of Ratio Estimators of Population Variance in Survey Sampling”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75 (3): 374-82. https://doi.org/10.31801/cfsuasmas.1632609.

EndNote

Kumar G, Gupta G, Jain A, Kumar S (September 1, 2026) An Effective Class of Ratio Estimators of Population Variance in Survey Sampling. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75 3 374–382.

IEEE

[1]G. Kumar, G. Gupta, A. Jain, and S. Kumar, “An Effective Class of Ratio Estimators of Population Variance in Survey Sampling”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 75, no. 3, pp. 374–382, Sept. 2026, doi: 10.31801/cfsuasmas.1632609.

ISNAD

Kumar, Gagan - Gupta, Gautam - Jain, Anubhuti - Kumar, Surendra. “An Effective Class of Ratio Estimators of Population Variance in Survey Sampling”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 75/3 (September 1, 2026): 374-382. https://doi.org/10.31801/cfsuasmas.1632609.

JAMA

1.Kumar G, Gupta G, Jain A, Kumar S. An Effective Class of Ratio Estimators of Population Variance in Survey Sampling. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;75:374–382.

MLA

Kumar, Gagan, et al. “An Effective Class of Ratio Estimators of Population Variance in Survey Sampling”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 75, no. 3, Sept. 2026, pp. 374-82, doi:10.31801/cfsuasmas.1632609.

Vancouver

1.Gagan Kumar, Gautam Gupta, Anubhuti Jain, Surendra Kumar. An Effective Class of Ratio Estimators of Population Variance in Survey Sampling. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026 Sep. 1;75(3):374-82. doi:10.31801/cfsuasmas.1632609