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

Parvardeh, A.; Panahbehagh, B.; Salehi, M.; Brown, J.; Smith, D.

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

Document Type : Research Paper

Authors

A. Parvardeh ¹

B. Panahbehagh ²

M. Salehi ³

J. Brown ⁴

D. Smith ⁵

¹ Academic Professor

² Isfahan University of Technology

³ Qatar University

⁴ University of Canterbury

⁵ U.S. Geological Survey

Abstract

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

Keywords

Stratified sampling‎

‎Adaptive‎ ‎two-stage sequential sampling‎

‎Asymptotic properties in finite‎ ‎population‎

‎Consistency‎

‎Rare population‎