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2013 | 14 | 2 | 231-248
Article title

Sampling Designs Proportionate to Sum of Two Order Statistics of Auxiliary Variable

Content
Title variants
Languages of publication
EN
Abstracts
EN
In this paper the case of a conditional sampling design proportional to the sum of two order statistics is considered. Several strategies including the Horvitz-Thompson estimator and ratio-type estimators are discussed. The accuracy of these estimators is analyzed on the basis of computer simulation experiments.
Year
Volume
14
Issue
2
Pages
231-248
Physical description
Contributors
  • Katowice University of Economics
References
  • HORVITZ, D., G., THOMPSON D. J., (1952). A generalization of the sampling without replacement from finite universe. Journal of the American Statistical Association, Vol. 47, 663–685.
  • LAHIRI G. W., (1951). A method for sample selection providing unbiased ratio estimator. Bulletin of the International Statistical Institute, Vol. 33, pp. 133–140.
  • MIDZUNO H., (1952). On the sampling system with probability proportional to the sum of sizes. Annals of the Institute of Statistical Mathematics, Vol. 3, pp. 99–107.
  • SA¨RNDAL C. E., SWENSSON B., WRETMAN J., (1992). Model Assisted Survey Sampling. Springer Verlag, New York-Berlin-Heidelberg-London-Paris-Tokyo-Hong Kong-Barcelona-Budapest.
  • SEN A. R., (1953). On the estimate of variance in sampling with varying probabilities Journal of the Indian Society of Agicultural Statistics, 5, 2, pp. 119–127.
  • TILLE´ Y., (1999). Estimation in Surveys Using Conditional Inclusion Probabilities: Complex Design. Survey Methodology, Vol. 25, No 1, pp. 57–66.
  • TILLE´ Y., (2006). Sampling algorithms. Springer.
  • WYWIAŁ, J. L., (2007). Simulation analysis of accuracy estimation of population mean on the basis of strategy dependent on sampling design proportionate to the order statistic of an auxiliary variable. Statistics in Transition-new series, Vol. 8, No. 1, pp. 125–137.
  • WYWIAŁ, J. L., (2008). Sampling design proportional to order statistic of auxiliary variable. Statistical Papers, Vol. 49, No. 2, pp. 277–289.
  • WYWIAŁ, J. L., (2009). Performing quantiles in regression sampling strategy. Model Assisted Statistics and Applications, Vol. 4, No. 2, pp. 131–142.
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.desklight-db81132f-f516-4017-9774-dddd41dc3cf7
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