A Novel Sub-Type Mean Estimator for Ranked Set Sampling with Dual Auxiliary Variables

Eda Gizem Koçyiğit

doi:10.53570/jnt.1346020

EN

A Novel Sub-Type Mean Estimator for Ranked Set Sampling with Dual Auxiliary Variables

Abstract

This research introduces a novel sub-estimator designed to estimate the population mean under ranked set sampling, motivated by the new concept of a recently introduced sub-ratio estimator. The mathematical formulas of the proposed estimator’s mean square error and bias are presented and theoretically contrasted with an analogous estimator found in the existing best sub-estimator literature. In addition to the theoretical analysis, empirical evidence is provided to validate the superiority of the proposed estimator. This empirical validation is based on numerical computations using Monte Carlo simulations, encompassing synthetic and real data applications. The results underscore the effectiveness of the proposed estimator. Finally, this study discusses the need for further research.

Keywords

Efficiency, Monte Carlo simulation, ranked set sampling, sub-estimator, survey sampling

References

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Details

Primary Language

English

Subjects

Computational Statistics, Statistical Theory, Theory of Sampling

Journal Section

Research Article

Authors

Eda Gizem Koçyiğit ^*
0000-0002-0774-1376
Türkiye

Publication Date

September 30, 2023

Submission Date

August 18, 2023

Acceptance Date

September 22, 2023

Published in Issue

Year 2023 Number: 44

DOI

https://doi.org/10.53570/jnt.1346020

IZ

https://izlik.org/JA77LP32CN

APA

Koçyiğit, E. G. (2023). A Novel Sub-Type Mean Estimator for Ranked Set Sampling with Dual Auxiliary Variables. Journal of New Theory, 44, 79-86. https://doi.org/10.53570/jnt.1346020

AMA

1.Koçyiğit EG. A Novel Sub-Type Mean Estimator for Ranked Set Sampling with Dual Auxiliary Variables. JNT. 2023;(44):79-86. doi:10.53570/jnt.1346020

Chicago

Koçyiğit, Eda Gizem. 2023. “A Novel Sub-Type Mean Estimator for Ranked Set Sampling With Dual Auxiliary Variables”. Journal of New Theory, nos. 44: 79-86. https://doi.org/10.53570/jnt.1346020.

EndNote

Koçyiğit EG (September 1, 2023) A Novel Sub-Type Mean Estimator for Ranked Set Sampling with Dual Auxiliary Variables. Journal of New Theory 44 79–86.

IEEE

[1]E. G. Koçyiğit, “A Novel Sub-Type Mean Estimator for Ranked Set Sampling with Dual Auxiliary Variables”, JNT, no. 44, pp. 79–86, Sept. 2023, doi: 10.53570/jnt.1346020.

ISNAD

Koçyiğit, Eda Gizem. “A Novel Sub-Type Mean Estimator for Ranked Set Sampling With Dual Auxiliary Variables”. Journal of New Theory. 44 (September 1, 2023): 79-86. https://doi.org/10.53570/jnt.1346020.

JAMA

1.Koçyiğit EG. A Novel Sub-Type Mean Estimator for Ranked Set Sampling with Dual Auxiliary Variables. JNT. 2023;:79–86.

MLA

Koçyiğit, Eda Gizem. “A Novel Sub-Type Mean Estimator for Ranked Set Sampling With Dual Auxiliary Variables”. Journal of New Theory, no. 44, Sept. 2023, pp. 79-86, doi:10.53570/jnt.1346020.

Vancouver

1.Eda Gizem Koçyiğit. A Novel Sub-Type Mean Estimator for Ranked Set Sampling with Dual Auxiliary Variables. JNT. 2023 Sep. 1;(44):79-86. doi:10.53570/jnt.1346020

HEWMA-based memory type estimator for ranked set sampling with two auxiliary variables: application to cancer mortality data

Scientific Reports

https://doi.org/10.1038/s41598-026-50886-4

A Novel Sub-Type Mean Estimator for Ranked Set Sampling with Dual Auxiliary Variables

Abstract

A Novel Sub-Type Mean Estimator for Ranked Set Sampling with Dual Auxiliary Variables

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

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Novel logarithmic imputation procedures using multi auxiliary information under ranked set sampling

HEWMA-based memory type estimator for ranked set sampling with two auxiliary variables: application to cancer mortality data