Advanced search
Publication Cover
Communications in Statistics - Theory and Methods Volume 52, 2023 - Issue 5
Submit an article Journal homepage
177
Views
3
CrossRef citations to date
0
Altmetric
Article

Optimal calibrated weights while minimizing a variance function

Shameem Alama Department of Mathematics & Statistics, International Islamic University, Islamabad, PakistanCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-2926-4283
ORCID Icon,
Sarjinder Singhb Department of Mathematics, Texas A&M University-Kingsville, Kingsville, TX, USAORCID Iconhttps://orcid.org/0000-0002-3138-9640
ORCID Icon &
Javid Shabbirc Department of Statistics, Quaid-i-Azam University, Islamabad, PakistanORCID Iconhttps://orcid.org/0000-0002-0035-7072
ORCID Icon
Pages 1634-1651 | Received 10 Apr 2020, Accepted 26 May 2021, Published online: 26 Jun 2021

References

  • Alam, S., and J. Shabbir. 2020. Calibration estimation of mean by using double use of auxiliary information. Communications in Statistics-Simulation and Computation. Advance online publication. doi:10.1080/03610918.2020.1749660.
  • Alam, S., S. Singh, and J. Shabbir. 2020. Calibrated estimators using non-linear calibration constraints. Journal of Statistical Computation and Simulation 90 (3):489–514. doi:10.1080/00949655.2019.1688813.
  • Asim, A., Y. Li, Y. Xie, Y. Zhu, and J. Peng. 2002. Data mining for abalone. Hamilton, ON: Department of Computing and Software McMaster University.
  • Box, G., and D. Cox. 1964. An analysis of transformations. Journal of Royal Statistical Society E 26 (211):252.
  • Cochran, W. 1940. The estimation of the yields of cereal experiments by sampling for the ratio of grain to total produce. The Journal of Agricultural Science 30 (2):262–75. doi:10.1017/S0021859600048012.
  • Deville, J.-C., and C.-E. Särndal. 1992. Calibration estimators in survey sampling. Journal of the American Statistical Association 87 (418):376–82. doi:10.1080/01621459.1992.10475217.
  • Kadilar, C., and H. Cingi. 2003. Ratio estimators in stratified random sampling. Biometrical Journal 45 (2):218–25. doi:10.1002/bimj.200390007.
  • Kim, J.-M., E. A. Sungur, and T.-Y. Heo. 2007. Calibration approach estimators in stratified sampling. Statistics & Probability Letters 77 (1):99–103. doi:10.1016/j.spl.2006.05.015.
  • Koyuncu, N. 2018. Calibration estimator of population mean under stratified ranked set sampling design. Communications in Statistics - Theory and Methods 47 (23):5845–53. doi:10.1080/03610926.2017.1402051.
  • Koyuncu, N., and C. Kadilar. 2014. A new calibration estimator in stratified double sampling. Hacettepe Journal of Mathematics and Statistics 43 (2):1–9.
  • Koyuncu, N., and C. Kadilar. 2016. Calibration weighting in stratified random sampling. Communications in Statistics - Simulation and Computation 45 (7):2267–75. doi:10.1080/03610918.2014.901354.
  • Nidhi, B. V. S. S., S. Singh, and S. K. Singh. 2017. Calibration approach estimation of the mean in stratified sampling and stratified double sampling. Communications in Statistics - Theory and Methods 46 (10):4932–42. doi:10.1080/03610926.2015.1091083.
  • Rao, D. K., M. Khan, and G. Singh. 2018. On calibrated weights in stratified sampling. ANZIAM Journal 59:190–204. doi:10.21914/anziamj.v59i0.12668.
  • Rao, D. K., M. G. Khan, and S. Khan. 2012. Mathematical programming on multivariate calibration estimation in stratified sampling. International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering 6 (12):58–62.
  • Singh, S. 1998. Estimation of variance of the general regression estimator: Higher level calibration approach. Survey Methodology 24 (1):41–50.
  • Singh, S., and S. Horn. 1998. An alternative estimator for multi-character surveys. Metrika 48 (2):99–107.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.