Design-based ranked set sampling using auxiliary variables

A ranked set sampling protocol is proposed when an auxiliary variable is available in addition to the target variable in sample surveys. The protocol may be practically carried out without additional sampling effort or costs. Under the suggested sampling scheme, the estimators usually adopted in surveys with auxiliary information - such as the ratio estimator or the regression estimator - display surprising theoretical properties as well as high performance in practice.

[1]  Lucio Barabesi,et al.  The efficiency of ranked set sampling for parameter estimation , 2001 .

[2]  Lucio Barabesi The unbalanced ranked-set sample sign test , 2001 .

[3]  Carl-Erik Särndal,et al.  Model Assisted Survey Sampling , 1997 .

[4]  M. Thompson Theory of Sample Surveys , 1997 .

[5]  T. M. Smith,et al.  Biometrika centenary: Sample surveys , 2001 .

[6]  Charles Taillie,et al.  5 Ranked set sampling , 1994, Environmental Statistics.

[7]  M. Sampford,et al.  On sampling without replacement with unequal probabilities of selection. , 1967, Biometrika.

[8]  J. Hájek,et al.  Sampling from a finite population , 1982 .

[9]  Munindar P. Singh,et al.  Unified theory and strategies of survey sampling , 1988 .

[10]  P. Yu,et al.  Regression estimator in ranked set sampling. , 1997, Biometrics.

[11]  Masao Futatsuya,et al.  Dependence Between Order Statistics in Samples from Finite Population and its Application to Ranked Set Sampling , 1998 .

[12]  Philip L. H. Yu,et al.  Kernel method for the estimation of the distribution function and the mean with auxiliary information in ranked set sampling , 2002 .

[13]  Ganapati P. Patil,et al.  Ranked set sampling , 2006 .

[14]  Z. Bai,et al.  Ranked set sampling , 2004 .

[15]  Pranab Kumar Sen,et al.  12 Asymptotics in finite population sampling , 1988 .

[16]  G. P. Patil,et al.  Ranked Set Sampling: a Bibliography , 2004, Environmental and Ecological Statistics.

[17]  M. S. Ridout,et al.  Ranked set sampling with non-random selection of sets and errors in ranking , 1987 .

[18]  Ganapati P. Patil,et al.  Finite population corrections for ranked set sampling , 1995 .

[19]  Steven M. Lalonde,et al.  Combined Survey Sampling Inference , 2004, Technometrics.

[20]  Lucio Barabesi,et al.  Ranked set sampling for replicated sampling designs. , 2002, Biometrics.