Post-Stratification Estimators and Related Techniques.
TEXAS A AND M UNIV COLLEGE STATION
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It is the objective of this dissertation to develop techniques in current use in sample survey theory which employ auxiliary information in the form of so-called concommitant variables. The main section of this dissertation is concerned with a situation in which the auxiliary variables are used to classify the sample units into post strata. In this situation the auxiliary variables will be known only after sampling and cannot be used for the construction of strata to be sampled in prescribed quotas. The second aspect is concerned with so-called regression estimates and here the customary large sample theory of linear regression estimators with one concommitant variable is extended to a second order parabolic regression. The third aspect is concerned with extending the double ratio estimators to multivariate double ratio estimaotrs and the well known linear regression estimators to linear regression estimators with several auxiliary variables.
- Statistics and Probability