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Poisson sampling - The adjusted and unadjusted estimator revisitedAuthor(s): Michael S. Williams; Hans T. Schreuder; Gerardo H. Terrazas
Source: Res. Note. RMRS-RN-4. Fort Collins, CO: U.S. Department of Agriculture, Forest Service, Rocky Mountain Research Station. 10 p.
Publication Series: Research Note (RN)
Station: Rocky Mountain Research Station
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DescriptionThe 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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CitationWilliams, 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.
KeywordsPoisson sampling, adjusted estimator, unadjusted estimator, generalized regression estimator, approximate Srivastava estimator
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