Rocky Mountain Research Station Publications
RMRS Online Publication
RMRS-RN-4: Poisson sampling - The adjusted and unadjusted estimator
revisited
Williams, Michael S.; Schreuder, Hans T.; Terrazas, Gerardo H. 1998. Poisson sampling - The adjusted and unadjusted estimator revisited. Res. Note. RMRS-RN-4. Fort Collins, CO: U.S. Department of Agriculture, Forest Service, Rocky Mountain Research Station. 10 p.
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.)
Keywords: Poisson sampling, adjusted estimator, unadjusted estimator, generalized regression estimator, approximate Srivastava estimator
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http://www.fs.fed.us/rm/pubs/rmrs_rn004.pdf
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Title: RMRS-RN-4:
Poisson sampling - The adjusted and unadjusted estimator revisited
Electronic Publish Date: August 19, 2008
Last Update: August
19, 2008