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The Rao, Hartley and Cochran Scheme with Dubious Random Nonresponse in Survey Sampling

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Abstract

In the present investigation, we consider the problem of estimating a population total using the well known Rao, Hartley and Cochran (J R Stat Soc Ser B 24:482–491, 1962), say RHC scheme, in the presence of dubious random nonresponse. The proposed estimator is compared to the usual estimators of the population total in the presence of random nonresponse. A new idea, “Dubious Random Non-response (DRN)” through transformations on the response probabilities, is introduced and studied.

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References

  • Heitjan, D.F. and Basu, S. (1996). Distinguishing ‘Missing at Random’ and ‘Missing Completely at Random’. Amer. Statist., 50, 207–213.

    MathSciNet  Google Scholar 

  • Little, R.J.A. and Rubin, D.B. (2002). Statistical analysis with missing data, Second Edition. Wiley Series in Probability and Statistics.

  • Rao, J.N.K., Hartley, H.O. and Cochran, W.G. (1962). On a simple procedure of unequal probability sampling without replacement. J. R. Stat. Soc. Ser. B, 24, 482–491.

    MATH  MathSciNet  Google Scholar 

  • Rao, J.N.K. and Sitter, R.R. (1995). Variance estimation under two-phase sampling with application to imputation for missing data. Biometrika, 82, 453–460.

    Article  MATH  MathSciNet  Google Scholar 

  • Royal, R.M. and Cumberland, W.G. (1981). The finite population linear regression and estimators of its variance. An empirical study. J. Amer. Statist. Assoc., 76, 924–930.

    MathSciNet  Google Scholar 

  • Rubin, D.B. (1976). Inference and missing data. Biometrika, 63, 581–592.

    Article  MATH  MathSciNet  Google Scholar 

  • Särndal, C.E. (1992). Methods for estimating the precision of survey estimates when imputation is used. Surv. Methodol., 18, 241–252.

    Google Scholar 

  • Särndal, C.E., Swenson, B. and Wretman, j. (1992). Model Assisted Survey Sampling. Springer.

  • Singh, S. (2010). Layman’s understanding of non-response: How Michael and Amy adjust a missing phone call. LIAISON, Statistical Society of Canada, 24(3), p. 67.

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Correspondence to Raghunath Arnab*.

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*Honorary Research Fellow, University of Kwa-Zulu Natal.

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del Mar Rueda, M., Arcos, A., Arnab*, R. et al. The Rao, Hartley and Cochran Scheme with Dubious Random Nonresponse in Survey Sampling. Sankhya B 76, 317–333 (2014). https://doi.org/10.1007/s13571-013-0072-5

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  • DOI: https://doi.org/10.1007/s13571-013-0072-5

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