Skip to main content
SpringerLink
Log in

A modified estimator of population mean using power transformation

  • Articles
  • Published:
Statistical Papers Aims and scope Submit manuscript

Summary

In this paper we have suggested two modified estimators of population mean using power transformation. It has been shown that the modified estimators are more efficient than the sample mean estimator, usual ratio estimator, Sisodia and Dwivedi’s (1981) estimator and Upadhyaya and Singh’s (1999) estimator at their optimum conditions. Empirical illustrations are also given for examining the merits of the proposed estimators. Following Kadilar and Cingi (2003) the work has been extended to stratified random sampling, and the same data set has been studied to examine the performance in stratified random sampling.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Cochran, W.G. (1977).Sampling Techniques. John Wiley and Sons. Inc. London.

    MATH  Google Scholar 

  • Das, A.K. (1988).Contribution to the theory of sampling strategies based on auxiliary information. Ph.D. thesis submitted to Bidhan Chandra Krishi Vishwavidyalaya, Mohanpur, Nadia, West Bengal, India.

  • Das, A.K. and Tripathi, T.P. (1980). Sampling strategies for population mean when the coefficient of variation of an auxiliary character is known.Sankhya, 42, C, 76–86.

    MATH  Google Scholar 

  • Das, A.K. and Tripathi, T.P. (1981). A class of sampling strategies for population mean using information on mean and variance of an auxiliary character.Proc. of the Indian Statistical Institute Golden Jubilee International Conference on Statistics: Applications and New directions, Calcutta, 16–19 December 1981, 174–181.

  • Kadilar, C. and Cingi, H. (2003). Ratio estimators in stratified random sampling.Biom. J., 45, 2, 218–225.

    Article  MathSciNet  Google Scholar 

  • Kadilar, C. and Cingi, H. (2005). A new ratio estimator in stratified random sampling.Comm. Statist.-Theory Meth., 34, 597–602.

    Article  MATH  MathSciNet  Google Scholar 

  • Singh, S. (2003).Advanced sampling theory with applications: How Michael “Selected” Amy. pp 1–1220 (Vol. 1 and Vol. 2) Kluwer Academic Publishers, The Netherlands.

    Google Scholar 

  • Singh, S. (2004). Golden and Silver Jubilee Year-2003 of the linear regression estimators.Proc. of the American Statistical Association, Survey Method Section [CD-ROM], Toronto, Canada: American Statistical Association: pp. 4382–4389.

  • Sisodia, B.V.S. and Dwivedi, V.K. (1981). A modified ratio estimator using coefficient of variation of auxiliary variable.Jour. Indian Soc. Agric. Statist., 33, 13–18.

    Google Scholar 

  • Srivastava, S.K. (1967). An estimator using auxiliary information in sample surveys.Calcutta Statist. Assoc. Bull., 16, 121–132.

    MathSciNet  Google Scholar 

  • Stearns, M and Singh, S. (2005). A new model assisted chi-square distance function for calibration of design weights.Presented at the Joint Statistical Meeting, Minneapolis, ASA Section on Survey Research Methods, [CD] pp. 3600–3607.

  • Upadhyaya, L.N. and Singh, H.P. (1999). Use of transformed auxiliary variable in estimating the finite population mean.Biom. J., 41, 5, 627–636.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Studies in Statistics, Vikram University, 456010, Ujjain, M. P., India

    Housila P. Singh & Rajesh Tailor

  2. Department of Statistics, St. Cloud State University, 56301, St. Cloud, MN, USA

    Sarjinder Singh

  3. Statistics, Division of Science and Mathematics, University of Minnesota - Morris, 56267, Morris, MN, USA

    Jong-Min Kim

Authors
  1. Housila P. Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rajesh Tailor
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Sarjinder Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jong-Min Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Singh, H.P., Tailor, R., Singh, S. et al. A modified estimator of population mean using power transformation. Statistical Papers 49, 37–58 (2008). https://doi.org/10.1007/s00362-006-0371-2

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00362-006-0371-2

Keywords

Search

Navigation