Finite Population Sampling : a Model-Design Synthesis

• Autorzy: Malay Ghosh
• Języki publikacji: EN

Abstrakty

EN

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. (original abstract)

Słowa kluczowe

EN

Estimators; Bayesian statistics

PL

Estymatory; Statystyka bayesowska

• Czasopismo: Statistics in Transition
• Rocznik: 2012
• Tom: 13
• Numer: nr 2
• Strony: 235--242

Twórcy

autor

Malay Ghosh

• University of Florida, USA

Bibliografia

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• (2) SARNDAL, C-E, SWENSSON, B. and WRETMAN, J.H. (1992). Model Assisted Survey Sampling. Springer-Verlag, New York.
• (3) ERICSON, W.A. (1969). Subjective Bayesian models in sampling finite populations (with discussion). J. Roy. Statist. Soc. B, 31, 195-233.
• (4) GHOSH, M. and SINHA, B.K. (1989). On the consistency between model and design based estimators in survey sampling. Comm. Statist., 20, 689-702.
• (5) HAJEK, J. (1971). Discussion of 'an essay on the logical foundations of survey sampling, part one' by D. Basu. In Foundations of Statistical Inference. Eds. V.P. Godambe and D.A. Sprott. Holt, Rinehart and Winston, Toronto, Canada, p 236.
• (6) LAHIRI, P. and MUKHERJEE, K. (2007). On the design consistency property of hierarchical Bayes estimators in finite population sampling. Ann. Statist., 35,724-737.
• (7) 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.
• (8) PRASAD, N.G.N. and Rao, J.N.K. (1999). On robust small area estimation using a single random effects model. Survey Methodology, 25, 67-72.
• (9) ROYALL, R.M. (1970). On finite population sampling theory under certain regression models. Biometrika, 57, 377-387.
• (10) SARNDAL, C-E. (1984). Design-consistent versus model-dependent estimation in small domains. J. Amer. statist. Assoc., 79, 624-631.