an:00053910
Zbl 0751.62003
Bolfarine, Heleno; Zacks, Shelemyahu
Prediction theory for finite populations
EN
Springer Series in Statistics. New York etc.: Springer-Verlag. xi, 207 p. (1992).
00404322
1992
b
62D05 62F15
Bayes predictors; prediction theory; finite populations; superpopulation models; minimax predictors; maximum likelihood predictors; prediction intervals; model misspecification; robustness; Bayesian modelling; measurement errors; asymptotic properties; design characteristics
This book is a systematic treatment of prediction theory for finite populations based on superpopulation models, and brings together material scattered in papers during the last two decades. After a brief outline of ideas and principles, the following topics are dealt with in separate chapters:
Optimal predictors of population quantities; Bayes and minimax predictors; maximum likelihood predictors; classical and Bayes prediction intervals; the effects of model misspecification; conditions for robustness and Bayesian modelling; models with measurement errors; asymptotic properties in finite populations, design characteristics of predictors.
The emphasis is on the analysis of the data rather than on the design.
J.Lillest??l (Bergen)