ESTIMATION FOR DOMAINS PARAMETERS IN DOUBLE SAMPLING FOR STRATIFICATION WITH NON-LINEAR COST FUNCTION IN THE PRESENCE OF NON RESPONSE
Abstract
In sample surveys separate estimates of a parameter maybe required for sub-populations
into which a population is subdivided without separately sampling from these sub-
populations. Such sub-populations are called domains of study. Most studies have
been carried out on domain estimation using linear cost function. This study there-
fore estimates domains parameters in double sampling for strati cation in the pres-
ence of non-response with non-linear cost function which will minimize cost for a
xed value of variance or minimize variance for xed cost in the presence of non-
response. The optimum stratum sizes of a given set of non-linear unit costs are
derived using double sampling for strati cation. The relative precision of the es-
timators are empirically compared with corresponding existing estimators. Data
simulation will be done and then analysis and evaluation done using R-package.