Poisson Sampling: The Adjusted and Unadjusted Estimator Revisited

摘要

The prevailing assumption, that for Poisson sampling the adjuster estimator Ya is211u001ealways substantially more efficient than the unadjusted estimator Yu, is shown to 211u001ebe incorrect. Some well known theoretical results are applicable since Ya is a 211u001eratio-of-means estimator and Yu a simple unbiased estimator. The authors 211u001eformalize an additional realistic situation for high-value timber estimation for 211u001ewhich Yu is more efficient.