Abstract
New methods for estimating confidence limits for quantites in a finite population are proposed. These methods use auxiliary information through the ratio, difference and regression estimator of the population distribution function. They may be applied to any type of sampling. Simulation studies based of two real populations show that the methods proposed in this paper can be considerably more efficient than the customary classic method.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Andrew, D.F. et al: Robust estimates of location-surveys and advances. Princeton University Press, (1972)
Chambers, R. L., Dunstan, R.: Estimating distribution functions from survey data. Biometrika 73 (1986) 597–604
Chambers, R. L., Dorfman, A. H. and Wehrly, T. E.: Bias robust estimation in finite population using nonparametric calibration. J. Amer. Statist. Assoc. 88 (1991) 268–277
Cochran, A. H.: Sampling Techniques, Third Edition. Wiley, New York (1977)
Fernández García, F. R., Mayor Gallego, J. A.: Muestreo en Poblaciones Finitas: Curso Básico. P.P.U., Barcelona (1994)
Gross, S. T.: Median estimation in sample survey. Proc. Surv. Res. Meth. Sect. Amer. Statist. Ass. (1980) 181–184.
Haskell, J., Sedransk, J.: Confidence interval for quantiles and tolerance intervals of populations. Unpublished Technical Report. SUNY at Albany Dept. of Mathematic Statistics (1980) Albany NY
Kish, L.: Survey Sampling. John Wiley and Sons (1965) New York
Kuk, A. Y. C., Mak, T. K.: Median estimation in presence of auxiliary information. J. R. Statist. Soc. B 51 (1989) 261–269
Kuk, A. Y. C., Mak, T. K.: A functional approach to estimating finite population distribution functions. Commun. Statist. Theor. Meth. 23 (1994) 883–896
Mak, T. K., Kuk, A. Y. C.: A new method for estimating finite-population quantiles using auxiliary information. The Canadian Journal of Statistics 21 (1993) 29–38
Sedransk, J., Meyer, J.: Confidence intervals for the quantiles of a finite population: simple random and stratified simple random sampling. J. Amer. Statist. Ass. 76 (1978) 66–77
Smith, P., Sedransk, J.: Lower bounds for confidence coefficients for confidence intervals for finite population quantiles. Commun. Statist. Theor. Meth. 12 (1983) 1329–1344
Woodruff, R. S.: Confidence intervals for medians and other position measures. J. Amer. Statist. Assoc. 47 (1952) 635–646
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1997 Springer-Verlag
About this paper
Cite this paper
García, M.R., Cebrián, A.A., Rodríguez, E.A. (1997). Improvement on estimating quantites in finite population using indirect methods of estimation. In: Liu, X., Cohen, P., Berthold, M. (eds) Advances in Intelligent Data Analysis Reasoning about Data. IDA 1997. Lecture Notes in Computer Science, vol 1280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0052865
Download citation
DOI: https://doi.org/10.1007/BFb0052865
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63346-4
Online ISBN: 978-3-540-69520-2
eBook Packages: Springer Book Archive