Sankhya: The Indian Journal of Statistics

2002, Volume 64, Series A, Pt. 3, 532--544

IN THE FOOTSTEPS OF BASU: THE PREDICTIVE MODELLING APPROACH TO SAMPLING FROM FINITE POPULATION

By

SHELEMYAHU ZACKS, Binghamton University, New York, USA

SUMMARY. D.Basu's approach to (survey) sampling from finite populations is well known. Basu adhered to the likelihood principle and to the conditionality principle. He gradually became ardently Bayesian, and eventually rejected randomization in the data analysis stage. He accepted the predictive modelling approach as (empirical) Bayesian procedures. The present article reviews recent developments, specially in the model based approach, in light of Basu's philosophy.

AMS (1991) subject classification}. 62A15, 62D05.

Key words and phrases. Finite populations; survey sampling; design based approach; model based approach; superpopulations; Bayesian analysis; robustness.

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