Abstract:
The paper deals with the problem of estimating the general parameter P(a){=(Y0/Ya1), Y1 ¹ 0,a being a scalar which takes values -1, 0 and 1; and Yj is the population mean of the study variety yj, 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 Wh{=(Nh/N), Nh and N being the size of the hth stratum and the population size N respectively} and on the study variates (y0,y1); and (ii) when there is total response on the auxiliary variable x and incomplete response on the study variables (y0,y1), see Okafor (1996). Classes of estimators for the general parameter P(a) in both the situations have been proposed and their properties are studied. Asymptotic optimum estimators (AOEs) in the classes are investigated along with their approximate variance formulae. The present study also generalizes the work of Okafor (1996) and Singh and Vishwakarma (2007).
Page(s):
203-238
DOI:
DOI not available
Published:
Journal: Pakistan Journal of Statistics, Volume: 26, Issue: 1, Year: 2010