A GENERAL CLASS OF DSS ESTIMATORS OF POPULATION RATIO, PRODUCT AND MEAN IN THE PRESENCE OF NON-RESPONSE BASED ON THE SUB-SAMPLING OF THE NON-RESPONDENTS

作者：Singh Housila P^*; Kumar Sunil

来源：Pakistan Journal of Statistics, 2010, 26(1): 203-238.

• Auxiliary variate
• Study variates
• Double sampling for stratification
• Non-response
• Sub-sampling

The paper deals with the problem of estimating the general parameter P((alpha)) {=((Y) over bar (0)/(Y) over bar (alpha)(1)), (Y) over bar (1) not equal 0, alpha being a scalar which takes values -1, 0 and 1; and (Y) over bar (j) is the population mean of the study variate y(j), j = 0, 1} using double sampling for stratification (DSS) based on auxiliary information (i) when there is total response on the auxiliary variable x used in estimating the stratum weight W(h) {=(N(h)/N), N(h) and N being the size of the h(th) stratum and the population size N respectively} and on the study variates (y(0), y(1)); and (ii) when there is total response on the auxiliary variable x and incomplete response on the study variables (y(0), y(1)), see Okafor (1996). Classes of estimators for the general parameter P((alpha)) in both the situations have been proposed and their properties are studied. Asymptotic optimum estimators (AOEs) in the classes are investigated alongwith their approximate variance formulae. The present study also generalizes the work of Okafor (1996) and Singh and Vishwakarma (2007).

• 出版日期2010-1-10