Asymptotic properties of the sample mean in adaptive stratified sequential sampling with multiple selection criteria

Abstract

We extend the method of adaptive two-stage sequen-tial sampling to include designs where there is more than one crite-ria used in deciding on the allocation of additional sampling effort. These criteria, or conditions, can be a measure of the target popula-tion, or a measure of some related population. We develop Murthy estimator for the design that is unbiased estimators for the pop-ulation mean, and propose another, more efficient, estimator. We investigate asymptotic properties of this estimator. We use a sim-ulation study to investigate design properties of the multi-criteria adaptive stratified sequential sampling scheme and also some esti-mator properties under the design.