Abstract:
This dissertation is one of the steps towards the area of estimation of population variance
using multi-auxiliary variables under multi-phase sampling scheme. This work mainly
considers full, incomplete and no information cases about the auxiliary variables. The
importance of estimation of finite population variance under multi-phase sampling along
with some previously proposed estimators are discussed in Chapter 1. In Chapters 2 and
3, some ratio-type and regression-type variance estimators for estimation of population
variance using multi-auxiliary variables for single interest variable are proposed. To the
solution of multi-purpose surveys, few generalized multi-variate ratio-type and
regression-type variance estimators are discussed in Chapters 4 and 5 respectively.
Chapters 6 and 7 highlight the solution to the problem when multi-attributes is to be dealt
for the estimation of population variance under multi-phase sampling. The measurement
error in variable of interest is taken into account in Chapters 8 and 9 for the same
estimators proposed in Chapters 2 and 3. The expressions for minimum mean square
error for all proposed estimators are also derived. Some real data sets are used for
efficiency comparison.
