Malay Ghosh
ARTICLE

(English) PDF

ABSTRACT

The paper considers a general class of Bayes estimators for estimating the finite population mean which also achieve design consistency. Some exact results are given where Bayes estimators agree with the Horvitz-Thompson or ratio estimators. For a wider class of priors, asymptotic mathematical equivalence of Bayes estimators with the above estimators is provided.

REFERENCES

BASU, D. (1971). An essay on the logical foundations of survey sampling, part 1. In Foundations of Statistical Inference. Eds. V.P.Godambe and D.A. Sprott. Holt, Rinehart and Winston, Toronto,Canada, 203-242.

SARNDAL, C-E, SWENSSON, B. and WRETMAN, J.H. (1992).Model Assisted Survey Sampling. Springer-Verlag, New York.

ERICSON, W.A. (1969). Subjective Bayesian models in sampling finite populations (with discussion). J. Roy. Statist. Soc. B, 31,195-233.

GHOSH, M. and SINHA, B.K. (1989). On the consistency between model and design based estimators in survey sampling. Comm. Statist.,20, 689-702.

HAJEK, J. (1971). Discussion of ‘an essay on the logical foundations of survey sampling, part one’ by D. Basu. In Foundations of Statis tical Inference. Eds. V.P. Godambe and D.A. Sprott. Holt, Rinehart and Winston, Toronto, Canada, p 236.

LAHIRI, P. and MUKHERJEE, K. (2007). On the design consis tency property of hierarchical Bayes estimators in finite population sampling. Ann. Statist., 35, 724-737.

LITTLE, R.J.A. (2004). To model or not to model? Comparing modes of inference for finite population sampling. J. Amer. statist.Assoc., 99, 546-556.

PRASAD, N.G.N. and Rao, J.N.K. (1999). On robust small area es timation using a single random effects model. Survey Methodology,25, 67-72.

ROYALL, R.M. (1970). On finite population sampling theory under certain regression models. Biometrika, 57, 377-387.

SARNDAL, C-E. (1984). Design-consistent versus model-dependent estimation in small domains. J. Amer. statist. Assoc., 79, 624-631

Back to top
© 2019–2024 Copyright by Statistics Poland, some rights reserved. Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0) Creative Commons — Attribution-ShareAlike 4.0 International — CC BY-SA 4.0