Restricted Adaptive Probability-Based Latin Hypercube Design

Oregon Convention Center 

The complexity of environmental sampling comes from the combination of varied inclusion probabilities, irregular sampling region, spatial-filling requirements and sampling cost constraints. This article proposes a restricted adaptive probability-based latin hypercube design for environmental sampling. Meriting from a first stage pilot design, the approach largely reduces the computation burden under traditional adaptive sampling without network replacement, while still achieves the same effective control on the final sample size. Under the restricted adaptive probability-based latin hypercube design, Thompson-Horvitz and Hansen-Hurwitz type estimators are biased. A modified Murthy-type unbiased estimator with Rao-Blackwell improvements are thus proposed. The proposed approach is shown to have better performances than several well-known sampling methodologies.

Adaptive sampling

Environmental sampling

Latin Hypercube Design

Rao-Blackwell 

Section on Statistics and the Environment