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Some ratio estimators of finite population variance using auxiliary information in ranked set sampling | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 13، شماره 1، خرداد 2022، صفحه 3537-3549 اصل مقاله (400.37 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6134 | ||
| نویسندگان | ||
| Rikan A. Ahmed* 1؛ Saja Mohammad Hussein2 | ||
| 1Department of Statistics and Informatics, Mosul University, Iraq | ||
| 2Department of Statistics, Baghdad University, Baghdad, Iraq | ||
| تاریخ دریافت: 12 اسفند 1399، تاریخ بازنگری: 28 اردیبهشت 1400، تاریخ پذیرش: 02 تیر 1400 | ||
| چکیده | ||
| The method of selecting or designing the sample may be expensive or take a long time in some studies. And with the existence of the relationship between the main and auxiliary variables, which can employ in the process of selecting sampling units through the possibility of ranking for the auxiliary variable at the lowest possible cost. Ranked set sampling (\textit{RSS}) is a method to achieve this objective, and in sample surveys, it is usual to use auxiliary information to increase the precision of estimators. This article addresses the problem of estimating the finite population variance in ranked set sampling using auxiliary information, and that is through some suggested estimators. The bias and mean squared error of the proposed estimators are obtained up to the first degree of approximation. An asymptotic optimum estimator is identified with its approximate mean squared error (\textit{MSE}) formula. An estimator based on ``estimated optimum values'' is also investigated. Some special cases of these estimators are considered and compared using computer simulation. Finally, we showed how to extend the proposed estimator if more than one auxiliary variable is available. | ||
| کلیدواژه‌ها | ||
| Bias؛ Mean square error؛ Auxiliary variables؛ Relative Efficiency؛ Ranked set sampling | ||
| مراجع | ||
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[1] M.F. Al-Saleh and H.M. Samawi, Estimation of the correlation coefficient using bivariate- the ranked set sampling with application to the bivariate normal distribution, Commun. Statist. Theory Meth. 34(4) (2005) 875–889. [2] A. Biswas, T. Ahmadand and A. Rai, Variance estimation using Jackknife method in ranked set samplig under finite population framework, J. Indian Soc. Agric. Statist. 67(3) (2013) 345–353. [3] A. Biswas, A. Rai and T. Ahmad, Rescaling bootstrap technique for variance estimation for ranked set samples in finite population, Commun. Statist. Simul. Comput. 49(10) (2020) 2704–2718. [4] C.N. Bouza, J.F. Garc´ıa, G.K. Vishwakarma and S.M. Zeeshan, Variance estimation of persons infected with AIDS under ranked set sampling, Clin. Epidemiol. Global Health 7(1) (2017) 17–21. [5] M.Chen and J., Estimating variances of strata in ranked set sampling, J. Stat.Plann.Inference, 141(8)(2011) 2513-2518. [6] T.R. Dell and J.L. Clutter, Ranked set sampling theory with order statistics background, Biometrics,( 1972) 545-555. [7] L.K. Halls and T.R. Dell, Trial of ranked-set sampling for forage yields, Forest Sci. 12(1) (1966) 22–26. [8] S.N. MacEachern, O. Ozturk, D.A. Wolfe and G.V.Stark, A new ranked set sample estimator of variance, J. Royal Stat. Soc. Series B (Stat. Method.) 64(2) (2002) 177–188. [9] G.A. McIntyre, A method for unbiased selective sampling, using ranked sets, Aust. J. Agric.Res. 3(4) (1952) 385–390. [10] O. Ozturk and N. Demirel, Estimation of population variance from multi-ranker ranked set sampling designs, Commun. Stat. Simul. Comput. 45(10) (2014) 3568–3583. [11] F. Perron and B.K. Sinha, Estimation of variance based on a ranked set sample, J. Statist. Plann. Infer. 120(1-2) (2004) 21–28. [12] S. Sengupta and S. Mukhuti, Unbiased variance estimation in a simple exponential population using ranked set samples, J. Statist. Plann. Infer. 136(4) (2006) 1526–1553. [13] S. Stokes, Ranked set sampling with concomitant variables, Commun. Statist. Theory Meth. 6(12) (1977) 1207–1211 [14] S.L. Stokes, Estimation of variance using judgment ordered ranked set samples, Biometrics (1980) 35–42. [15] K. Takahasi and K. Wakimoto, On unbiased estimates of the population mean based on the sample stratified by means of ordering, Ann. Inst. Statist. Math. 20(1) (1968) 1–31. [16] L.H. Yu, P.K. Lam and B.M.K. Sinha, Estimation of normal variance based on balanced and unbalanced ranked set samples, Environ. Ecol. Statist. 6(1) (1999) 23–46. [17] E. Zamanzade and A.I. Al-Omari, New ranked set sampling for estimating the population mean and variance, Hacettepe J. Math. Statist. 45(6) (2016) 1891–1905. | ||
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