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Notes: The Gain in Efficiency in ps Sampling over Poisson Sampling

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A ratio is derived for the relative efficiency of mean-of-ratio estimation for ps sampling without replacement relative to Poisson sampling, assuming the model for which ps sampling with this estimator is optimum. This efficiency ratio is R = 1 + 1/ne where ne = the expected sample size in Poisson sampling and the sample size used in pps sampling. ps sampling from the cumulated x-values, a replacement sampling scheme, is compared to Poisson sampling in a simulation study using four sets of three populations, where two populations in each set are realizations of the optimal linear model for ps sampling with the Horvitz-Thompson estimator, and the third is an actual data set. The derived ratio is a good indicator of the gain in efficiency of ps sampling relative to Poission sampling. This is confirmed by simulation results from some populations. For. Sci. 36(4):1146-1152.
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Keywords: Fixed sample; Hotvitz-Thompson; optimum linear model

Document Type: Miscellaneous

Affiliations: Project Leader, Rocky Mountain Forest and Range Experiment Station, 240 West Prospect St., Ft. Collins, CO 80526

Publication date: 1990-12-01

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  • Forest Science is a peer-reviewed journal publishing fundamental and applied research that explores all aspects of natural and social sciences as they apply to the function and management of the forested ecosystems of the world. Topics include silviculture, forest management, biometrics, economics, entomology & pathology, fire & fuels management, forest ecology, genetics & tree improvement, geospatial technologies, harvesting & utilization, landscape ecology, operations research, forest policy, physiology, recreation, social sciences, soils & hydrology, and wildlife management.
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    June 1, 2016 to Feb. 28, 2017

    Also published by SAF:
    Journal of Forestry
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