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An extension of the Horvitz--Thompson theorem to point sampling from a continuous universe

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  • Cordy, Clifford B.

Abstract

A theory of estimation for sampling from a continuous universe is developed. The results are similar in form to the Horvitz--Thompson theorem from finite population sampling.

Suggested Citation

  • Cordy, Clifford B., 1993. "An extension of the Horvitz--Thompson theorem to point sampling from a continuous universe," Statistics & Probability Letters, Elsevier, vol. 18(5), pages 353-362, December.
    • Handle: RePEc:eee:stapro:v:18:y:1993:i:5:p:353-362
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    Cited by:

    1. B. L. Robertson & J. A. Brown & T. McDonald & P. Jaksons, 2013. "BAS: Balanced Acceptance Sampling of Natural Resources," Biometrics, The International Biometric Society, vol. 69(3), pages 776-784, September.
    2. Rodríguez, José E. & Ávila, Fernando, 2003. "Optimal random sampling designs in random field sampling," DES - Working Papers. Statistics and Econometrics. WS ws035211, Universidad Carlos III de Madrid. Departamento de Estadística.
    3. Janusz L. Wywiał, 2020. "Estimating the population mean using a continuous sampling design dependent on an auxiliary variable," Statistics in Transition New Series, Polish Statistical Association, vol. 21(5), pages 1-16, December.
    4. Steen Magnussen & Johannes Breidenbach, 2020. "Retrieval of among-stand variances from one observation per stand," Journal of Forest Science, Czech Academy of Agricultural Sciences, vol. 66(4), pages 133-149.
    5. Wilmer Prentius & Anton Grafström, 2022. "Two‐phase adaptive cluster sampling with circular field plots," Environmetrics, John Wiley & Sons, Ltd., vol. 33(5), August.
    6. Wilhelm, Matthieu & Tillé, Yves & Qualité, Lionel, 2017. "Quasi-systematic sampling from a continuous population," Computational Statistics & Data Analysis, Elsevier, vol. 105(C), pages 11-23.

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