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Adaptive ranked-set sampling with multiple concomitant variables: An efficient way to observational economy. (English) Zbl 1003.62014

Summary: The notion of ranked-set sampling (RSS) proposed by G.A. McIntyre [Aust. J. Agr. Res. 3, 385-390 (1952)] provides an effective means of achieving observational economy in certain particular situations. The use of concomitant variables broadens the range of applications of RSS. We deal with RSS with multiple concomitant variables and develop an adaptive RSS procedure in a general context. The particular case of multiple linear regression estimates with RSS is treated in detail. The procedure is illustrated with a real data set. Some simulation results are also given.

MSC:

62F07 Statistical ranking and selection procedures
62G08 Nonparametric regression and quantile regression
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