Poisson Sampling: The Adjusted and Unadjusted Estimator Revisited
Michael S. Williams
Jan 1998 · U.S. Department of Agriculture, Forest Service, Rocky Mountain Research Station
Ebook
10
Pages
About this ebook
"The prevailing assumption, that for Poisson sampling the adjusted estimator "Y-hat a" is always substantially more efficient than the unadjusted estimator "Y-hat u" , is shown to be incorrect. Some well known theoretical results are applicable since "Y-hat a" is a ratio-of-means estimator and "Y-hat u" a simple unbiased estimator. We formalize an additional realistic situation for high-value timber estimation for which "Y-hat u" is more efficient. (Please note: equations are spelled out inside quotation marks. Please see PDF for symbols.)"
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