A new ranked set sample estimator of variance

Journal of the Royal Statistical Society. Series B: Statistical Methodology

Volumn 64, Issue 2, 2002, Pages 177-188

  MacEachern, Steven N ^a,b   Öztürk, Ömer ^a,b   Wolfe, Douglas A ^a,b   Stark, Gregory V ^a,b  

^a OHIO STATE UNIVERSITY   (United States)

^b BATTELLE MEMORIAL INSTITUTE   (United States)

Author keywords

Judgment order statistic; Judgment stratified sampling; Relative efficiency; Unbiasedness

Indexed keywords

EID: 0036012996     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00331     Document Type: Article

References (12)

1. Arnold, S.F. (1981) The Theory of Linear Models and Multivariate Analysis. New York: Wiley.
2. Dell, T.R. and Clutter, J.L. (1972) Ranked set sampling theory with order statistics background. Biometrics, 28, 545-553.
3. Lohr, S.L. (1999) Sampling: Design and Analysis. Pacific Grove: Duxbury.
4. McIntyre, G.A. (1952) A method for unbiased selective sampling, using ranked sets. Aust. J. Agric. Res., 3, 385-390.
5. Öztürk, O. and Wolfe, D.A. (2000a) Alternative ranked set sampling protocols for the sign test. Statist. Probab. Lett., 47, 15-23.
6. _, (2000b) An improved ranked set two-sample Mann-Whitney-Wilcoxon test. Can. J. Statist., 28, 123-135.
7. _, (2000c) Optimal allocation procedure in ranked set sampling for unimodal and multi-modal distributions. Environ. Ecol. Statist., 7, 343-356.
8. Sinha, B.K., Sinha, B.K. and Purkayastha, S. (1996) On some aspects of ranked set sampling for estimation of normal and exponential parameters. Statist. Decsns, 14, 223-240.
9. Stokes, S.L. (1980) Estimation of variance using judgment ordered ranked set samples. Biometrics, 36, 35-42.
10. Stokes, S.L. and Sager, T.W. (1988) Characterization of a ranked-set sample with application to estimating distribution functions. J. Am. Statist. Ass., 83, 374-381.
11. Takahasi, K. and Wakimoto, K. (1968) On unbiased estimates of the population mean based on the sample stratified by means of ordering. Ann. Inst. Statist. Math., 20, 1-31.
12. Yu, P.L.H., Lam, K. and Sinha, B.K. (1999) Estimation of normal variance based on balanced and unbalanced ranked set samples. Environ. Ecol. Statist., 6, 23-46.