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2024 | 25 | 1 | 77-91

Article title

Improved calibration estimation of population mean in stratified sampling using two auxiliary variables

Content

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Abstracts

EN
In this paper, a new improved calibration estimator for the population mean in a stratified sampling was proposed using two auxiliary variables. A simulation study was carried out to evaluate the performance and efficiency of the proposed estimator with respect to three estimators considered in the literature for estimating the population mean in a stratified sampling using two auxiliary variables. The results showed that the new estimator proved to be more efficient than the three existing estimators considered.

Year

Volume

25

Issue

1

Pages

77-91

Physical description

Dates

published
2024

Contributors

  • University of Nigeria, Department of Statistics, Nsukka, Nigeria
  • University of Nigeria, Department of Statistics, Nsukka, Nigeria

References

  • Adubi, A. S., Babatunde, O. T., and Ude, I. O., (2022). Modified ratio estimators for population means with two auxiliary parameters using calibration weights. Asian Journal of Probability and Statistics, 20(4), pp. 169-183.
  • Agunbiade, D., Ogunyinka, P., (2013). Effect of correlation level on the use of auxiliary variable in double sampling for regression estimation. Open Journal of Statistics, 3(5), pp. 312-318.
  • Alam, S., Singh, S., and Shabbir, J., (2019). New methodology of calibration in stratified sampling. Proceedings of JSM-Survey Research Methods Section.
  • Alam, S., Shabbir, J., (2020). Calibration estimation of mean by using double use of auxiliary information. Communications in Statistics - Simulations and Computation, https://doi.org/10.1080/03610918.2020.1749660.
  • Babatunde, O. T., Oladugba, A. V., Ude, I. O., and Adubi, A. S., (2023) Calibration estimation of population mean in stratified sampling using standard deviation. Quality & Quantity, https://doi.org/10.1007/s11135-023-01737-1.
  • Deville, J. C., Sarndal, C., -E., (1992). Calibration estimators in survey sampling. Journal of the American Statistical Association, 87(418), pp. 376-382.
  • Garg, N., Pachori, M., (2019). Use of coefficient of variation in calibration estimation of population mean in stratified sampling. Communications in Statistics - Theory and Methods, https://doi.org/10.1080/03610926.2019.1622729.
  • Kadilar, C., Cingi, H., (2006). Improvement in estimating the population mean in simple random sampling. Applied Mathematics Letters, 19, pp. 75-79.
  • Koyuncu, N., Kadilar, C., (2016). Calibration weighting in stratified random sampling. Communications in Statistics: Simulation and Computation, 45(7), pp. 2267-2275.
  • Oladugba, A. V., Adubi, A. S., Okafor, F. C., Babatunde, O. T. and Adubi, P. C., (2023). Calibrated estimators for population means using standard deviation of auxiliary variable. Journal of the Indian Society for Probability and Statistics, https://doi.org/10.1007/s41096-023-00167-4.
  • Ozgul, N., (2018). New calibration estimator based on two auxiliary variables in stratified sampling. Communication in Statistics - Theory and Methods, https://doi.org/10.1080/03610926.2018.1433852.
  • Rao, D., Khan, M., and Khan, S., (2012). Mathematical programming on multivariate calibration estimation in stratified sampling. World Academy of Science, Engineering and Technology, 72, pp. 12-27.
  • Rao, D., Tekabu, T., and Khan, M., (2016). New calibration estimators in stratified sampling. In Computer Science and Engineering (APWC on CSE), 3rd Asia-Pacific World Congress Nadi, Fijion, December 5-6, pp. 66-70, IEEE.
  • Rai, P. K., Singh, A., and Qasim, M., (2021). Calibration-based estimators using different distance measures under two auxiliary variables: a comparative study. Journal of Modern Applied Statisticsl Methods, 19(1), pp. 1-20.
  • Sarndal, C. -E., Swensson, B., and Wretman, J., (1992). Model assisted survey sampling. New York: Springer-Verlag Publishing, https://doi.org/10.1007/978-1-4612-4378-6.
  • Sisodia, B. V. S., Singh, S., and Singh, S. K., (2017). Calibration approach estimation of the mean in stratified sampling and stratified double sampling. Communications in Statistics - Theory and Methods, 46(10), pp. 4932-4942.
  • Tracey, D. S., Singh, S., and Arnab, R., (2003). Note on calibration in stratified and double Sampling. Survey Methodology, 29(1), pp. 99-104.

Document Type

Publication order reference

Identifiers

Biblioteka Nauki
56303314

YADDA identifier

bwmeta1.element.ojs-doi-10_59170_stattrans-2024-005
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