30-07-2012, 02:48 PM
GENERALIZED DOUBLE SAMPLING ESTIMATORS FOR THE RATIO AND PRODUCT OF POPULATION PARAMETERS
GENERALIZED DOUBLE SAMPLING ESTIMATORS.docx (Size: 56.31 KB / Downloads: 36)
SUMMARY:
For the estimation of ratio and product of population parameters, generalized estimators of which Singh(1965) estimators in double sampling are special cases are proposed. Bias and mean square error (MSE) of the proposed estimators are found and a comparative study has been made with the double sampling estimators considered by Singh(1965).
Introduction:
On a first large simple random sample of size n^' drawn without replacement from a population of size N, let the auxiliary character x_2 is observed to find an estimate of population mean X ̅_2 of x_2, and the characters y,〖 x〗_1 are observed on the second phase sample of size n from the first phase sample. Let the sample mean x ̅_2^' based on the first phase sample be unbiased estimator for the population mean X ̅_2 and the sample mean y ̅, x ̅_1, x ̅_2 based on the second phase sample be the unbiased estimators of the population means Y ̅,X ̅_1, X ̅_2,