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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 3

Distribution function estimation using concomitant-based ranked set sampling

M. MAHDİZADEH
Ehsan ZAMANZADE
Pages
755–761
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It is shown by simulation study that the alternative estimator can be considerably more efficient than the standard one, especially when the rankings are perfect.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Ranked set sampling (RSS) is a data collection method designed to exploit auxiliary ranking information.
📊
Key Findings & Data:In this paper, a new estimator of distribution function is proposed when RSS is done by using a concomitant variable.
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Conclusion & Impact:It is shown by simulation study that the alternative estimator can be considerably more efficient than the standard one, especially when the rankings are perfect.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Relative efficiency · Concomitant variable · Judgment ranking

Abstract

Ranked set sampling (RSS) is a data collection method designed to exploit auxiliary ranking information. In this paper, a new estimator of distribution function is proposed when RSS is done by using a concomitant variable. It is shown by simulation study that the alternative estimator can be considerably more efficient than the standard one, especially when the rankings are perfect.

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Cite This Article

MAHDİZADEH, M., ZAMANZADE, E. (2022). Distribution function estimation using concomitant-based ranked set sampling. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 3, 755–761. https://ajindex.com/articles/529872

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References (16)

  1. Chen, Z., Bai, Z., and Sinha, B.K. Ranked set sampling: Theory and Applications, Springer, New York, 2004.
  2. Dell, T.R., and Clutter, J.L. Ranked set sampling theory with order statistics background, Biometrics 28(2), 545-555, 1972.
  3. Frey, J., Ozturk, O., and Deshpande, J.V., Nonparametric tests for perfect judgment rank- ings, Journal of the American Statistical Association 102(478), 708-717, 2007.
  4. Frey, J. A note on ranked-set sampling using a covariate, Journal of Statistical Planning and Inference 141(2), 809-816, 2011. Li,T., and Balakrishnan, N. Some simple nonparametric methods to test for perfect ranking in ranked set sampling. Journal of Statistical Planning and Inference 138(5), 1325-1338, 2008.
  5. McIntyre, G.A. A method for unbiased selective sampling using ranked set sampling, Aus- tralian Journal of Agricultural Research, 3, 385-390, 1952.
  6. MacEachern, S.N., Ozturk, O., Wolfe, D.A. and Stark, G.V. A new ranked set sample estimator of variance, Journal of the Royal Statistical Society: Series B. 64(2), 177-188, 2002.
  7. Platt, W.J., Evans, G.M., and Rathbun, S.L. The population dynamics of a long-lived conifer (Pinus palustris), American Naturalist 131, 491525, 1988.
  8. Robertson, T., Wright, F.T., and Dykstra, R.L. Order Restricted Statistical Inference, Wi- ley, New York, 1988.
  9. Stokes, S.L. Estimation of variance using judgment ordered ranked set samples, Biometrics 36(1), 35-42, 1980.
  10. Stokes, S.L., and Sager, T.W. Characterization of a Ranked-Set Sample with Application to Estimating Distribution Functions, Journal of the American Statistical Association 83(402), 374-381, 1988.
  11. Takahasi, K. and Wakimoto, K. On unbiased estimates of the population mean based on the sample strati ed by means of ordering, Annals of the Institute of Statistical Mathematics 20, 1-31, 1968.
  12. Vock, M., and Balakrishnan, N. A. Jonckheere-Terpstra-type test for perfect ranking in balanced ranked set sampling, Journal of Statistical Planning and Inference 141(2), 624- 630, 2011.
  13. Zamanzade, E., Arghami, N.R., Vock, M. Permutation-based tests of perfect ranking, Sta- tistics & Probability Letters 82(12), 2213-2220, 2012.
  14. Zamanzade, E., Arghami, N.R., and Vock, M. A parametric test of perfect ranking in bal- anced ranked set sampling, Communications in Statistics: Theory and Methods 43(21), 4589-4611, 2014.
  15. Zamanzade, E,. and Vock, M. Variance estimation in ranked set sampling using a concomi- tant variable, Statistics & Probability Letters 105, 1-5, 2015.
  16. Zamanzade, E,. and Mohamm