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A Study of Parameter Estimation with the Prior-Information by Using the Multiple Stratification

In sampling survey, prior-information about population has been generally ignored to estimate parameters. But if there is some believable prior-information about population, it is very useful to get more efficiency estimators by using the prior-information. This paper shows how to estimate the parameter, to evaluate the variance of the estimator, and to un-biasness of the estimator by using multiple stratification with prior-information about survey population. The proposed method is illustrated with a set of hypothetical data. The results show that the proposed estimator is very efficiency and strongly recommendable.