Pair rank set sampling. (English) Zbl 0878.62026
Summary: Ranked set sampling (RSS) as suggested by G. A. McIntyre [Aust. J. Agricult. Res. 3, 385-390 (1952)] may be modified to introduce a new sampling method called pair rank set sampling (PRSS), which might be used in some area of application instead of the RSS to increase the efficiency of the estimators relative to the simple random sampling (SRS) method. Estimators of the population mean are considered. An example using real data is presented to illustrate computations.
MSC:
| 62G05 | Nonparametric estimation |
References:
| [1] | Dell, Biometrics 28 pp 545– (1972) |
| [2] | Ikeda, Annals of Institute of Statistical Mathematics 23 pp 435– (1971) |
| [3] | Johnson, Abstracta Botanica 17 pp 87– (1993) |
| [4] | Lehmann, Ann. Math. Statist. 37 pp 1137– (1966) |
| [5] | McIntyre, Australian J. Agricultures Research 3 pp 385– (1952) |
| [6] | Muttlak, Biom. Journal 46 pp 435– (1992) |
| [7] | and , 1993: Environmental sampling observational economy, and statistical inference with emphasis on ranked set sampling, encounter sampling and composite sampling. Bulletin ISI Proceeding of 49th Session, Firenze, 295–312. |
| [8] | Stokes, Biometrics 36 pp 35– (1980) |
| [9] | Takahasi, Annals of Institute of Statistical Mathematics 20 pp 1– (1968) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
