501
Views
2
CrossRef citations to date
0
Altmetric
Review Articles

Estimation of population proportion using concomitant based ranked set sampling

ORCID Icon & ORCID Icon
Pages 2689-2709 | Received 26 Feb 2020, Accepted 07 Apr 2021, Published online: 15 May 2021

References

  • Abbasi, M., and Y. Shahd. 2017. Manipulation-based ranked set sampling scheme. Pakistan Journal of Statistics and Operation Research 13 (4):775–98. doi:10.18187/pjsor.v13i4.1539.
  • Al-Nasser, A. D. 2007. L ranked set sampling: A generalization procedure for robust visual sampling. Communications in Statistics - Simulation and Computation 36 (1):33–43. doi:10.1080/03610910601096510.
  • Al-Omari, A. I. 2011. Estimation of mean based on modified robust extreme ranked set sampling. Journal of Statistical Computation and Simulation 81 (8):1055–66. doi:10.1080/00949651003649161.
  • Al-Omari, A. I., and M. Z. Raqab. 2013. Estimation of the population mean and median using truncation-based ranked set samples. Journal of Statistical Computation and Simulation 83 (8):1453–71. doi:10.1080/00949655.2012.662684.
  • Al-Saleh, M. F., and M. A. Al-Kadiri. 2000. Double-ranked set sampling. Statistics & Probability Letters 48 (2):205–12. doi:10.1016/S0167-7152(99)00206-0.
  • Bahl, S., and R. Tuteja. 1991. Ratio and product type exponential estimators. Journal of Information and Optimization Sciences 12 (1):159–64. doi:10.1080/02522667.1991.10699058.
  • Barnett, V., and M. C. M. Barreto. 2001. Estimators for a poisson parameter using ranked set sampling. Journal of Applied Statistics 28 (8):929–41. doi:10.1080/02664760120076616.
  • Cochran, 1977. Sample techniques. New York: John Wills & Sons.
  • David, H. A., and H. N. Nagaraja. 2003. Order statistics. 3rd ed. New York: Wiley.
  • Dümbgen, L., and E. Zamanzade. 2020. Inference on a distribution function from ranked set samples. Annals of the Institute of Statistical Mathematics 72 (1):157–85. doi:10.1007/s10463-018-0680-y.
  • Frey, J. 2011. A note on ranked-set sampling using a covariate. Journal of Statistical Planning and Inference 141 (2):809–16. doi:10.1016/j.jspi.2010.08.002.
  • Frey, J., O. Ozturk, and J. V. Deshpande. 2007. Nonparametric tests for perfect judgment rankings. Journal of the American Statistical Association 102 (478):708–17. doi:10.1198/016214506000001248.
  • Göçoğlu, A., and N. Demirel. 2019. Estimating the population proportion in modified ranked set sampling methods. Journal of Statistical Computation and Simulation 89 (14):2694–710. doi:10.1080/00949655.2019.1631315.
  • Haq, A., J. Brown, E. Moltchanova, and A. I. Al-Omari. 2014. Mixed ranked set sampling design. Journal of Applied Statistics 41 (10):2141–56. doi:10.1080/02664763.2014.909781.
  • Haq, A., J. Brown, E. Moltchanova, and A. I. Al-Omari. 2015. Varied L ranked set sampling scheme. Journal of Statistical Theory and Practice 9 (4):741–67. doi:10.1080/15598608.2015.1008606.
  • Haq, A., J. Brown, E. Moltchanova, and A. I. Al-Omari. 2016. Paired double-ranked set sampling. Communications in Statistics - Theory and Methods 45 (10):2873–89. doi:10.1080/03610926.2014.892135.
  • Mahdizadeh, M., and E. Zamanzade. 2019. Efficient body fat estimation using multistage pair ranked set sampling. Statistical Methods in Medical Research 28 (1):223–34. doi:10.1177/0962280217720473.
  • McIntyre, G. 1952. A method for unbiased selective sampling, using ranked sets. Australian Journal of Agricultural Research 3 (4):385–90. doi:10.1071/AR9520385.
  • Ozturk, O. 2012. Combining ranking information in judgment post stratified and ranked set sampling designs. Environmental and Ecological Statistics 19 (1):73–93. doi:10.1007/s10651-011-0175-y.
  • Ozturk, O. 2013. Combining multi-observer information in partially rank-ordered judgment post-stratified and ranked set samples. Canadian Journal of Statistics 41 (2):304–24. doi:10.1002/cjs.11167.
  • Ozturk, O. 2014. Estimation of population mean and total in a finite population setting using multiple auxiliary variables. Journal of Agricultural, Biological, and Environmental Statistics 19 (2):161–84. doi:10.1007/s13253-013-0163-9.
  • Ozturk, O., and N. Demirel. 2016. Estimation of population variance from multi-ranker ranked set sampling designs. Communications in Statistics - Simulation and Computation 45 (10):3568–83. doi:10.1080/03610918.2014.948191.
  • Singh, H., and R. Tailor. 2003. Use of known correlation coefficient in estimating the finite population mean. Statistics in Transition 6 (4):555–60.
  • Sisodia, B., and V. Dwivedi. 1981. Modified ratio estimator using coefficient of variation of auxiliary variable. Journal-Indian Society of Agricultural Statistics 33:13–8.
  • Stokes, S. L. 1977. Ranked set sampling with concomitant variables. Communications in Statistics-Theory and Methods 6 (12):1207–11.
  • Takahasi, K., and K. Wakimoto. 1968. On unbiased estimates of the population mean based on the sample stratified by means of ordering. Annals of the Institute of Statistical Mathematics 20 (1):1–31. doi:10.1007/BF02911622.
  • Terpstra, J. 2004. On estimating a population proportion via ranked set sampling. Biometrical Journal 46 (2):264–72. doi:10.1002/bimj.200310022.
  • Terpstra, J. T., and L. A. Liudahl. 2004. Concomitant-based rank set sampling proportion estimates. Statistics in edicine 23 (13):2061–70. doi:10.1002/sim.1799.
  • Yang, S.-S. 1977. General distribution theory of the concomitants of order statistics. The Annals of Statistics 5 (5):996–1002. doi:10.1214/aos/1176343954.
  • Zamanzade, E., and M. Mahdizadeh. 2017. A more efficient proportion estimator in ranked set sampling. Statistics & Probability Letters 129:28–33. doi:10.1016/j.spl.2017.05.001.
  • Zamanzade, E., and M. Mahdizadeh. 2018a. Distribution function estimation using concomitant-based ranked set sampling. Hacettepe Journal of Mathematics and Statistics 47 (144):1–761. doi:10.15672/HJMS.201814420708.
  • Zamanzade, E., and M. Mahdizadeh. 2018b. Estimating the population proportion in pair ranked set sampling with application to air quality monitoring. Journal of Applied Statistics 45 (3):426–37. doi:10.1080/02664763.2017.1279596.
  • Zamanzade, E., and M. Mahdizadeh. 2020. Using ranked set sampling with extreme ranks in estimating the population proportion. Statistical ethods in edical esearch 29 (1):165–77. doi:10.1177/0962280218823793.
  • Zamanzade, E., and M. Mohammadi. 2016. Some modified mean estimators in ranked set sampling using a covariate. Journal of Statistical Theory and Applications 15 (2):142–52. doi:10.2991/jsta.2016.15.2.4.
  • Zamanzade, E., and M. Vock. 2015. Variance estimation in ranked set sampling using a concomitant variable. Statistics & Probability Letters 105:1–5. doi:10.1016/j.spl.2015.04.034.

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:

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:

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.