Estimation of population ratio, product, and mean using multiauxiliary information with random nonresponse

Authors

  • Housila P. Singh Vikram University, Ujjain
  • Prem Chandra All India Institute Medical Sciences, New Delhi
  • Inderjit Singh Grewal Punjab Agricultural University
  • Sarjinder Singh Texas A&M University - Kingsville
  • Cheng C. Chen Texas A&M University - Kingsville
  • Stephen A. Sedory Texas A&M University - Kingsville
  • Jong-Min Kim University of Minnesota - Morris

DOI:

https://doi.org/10.6092/issn.1973-2201/3658

Abstract

In this paper, a family of estimators of population ratio R , product P and mean Y0 has been suggested using multi-auxiliary information under simple random sampling without replacement (SRSWOR) and its properties have been discussed. We have further suggested three families of estimators in the presence of random non-response in different situations under an assumption that the number of sampling units on which information cannot be obtained due to random non-response follows some distribution. The estimators of the family involve unknown constants whose optimum values depend on unknown population parameters. When these population parameters are replaced by their consistent estimates, the resulting estimators are shown to have the same asymptotic mean squared error (MSE). The work of Singh et al. (2007) is shown as a special case. At the end, numerical comparisons are also made.

References

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Published

2012-12-31

How to Cite

Singh, H. P., Chandra, P., Grewal, I. S., Singh, S., Chen, C. C., Sedory, S. A., & Kim, J.-M. (2012). Estimation of population ratio, product, and mean using multiauxiliary information with random nonresponse. Statistica, 72(4), 449–480. https://doi.org/10.6092/issn.1973-2201/3658

Issue

Vol. 72 No. 4 (2012)

Section

Articles

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Copyright (c) 2012 Statistica

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