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An Unbiased Estimator of the Variance of Simple Random Sampling Using Mixed Random-Systematic Sampling

  • Alberto Padilla
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    Systematic sampling is a commonly used technique due to its simplicity and ease of implementation. The drawback of this simplicity is that it is not possible to estimate the design variance without bias. There are several ways to circumvent this problem. One method is to suppose that the variable of interest has a random order in the population, so the sample variance of simple random sampling without replacement is used. By means of a mixed random - systematic sample, an unbiased estimator of the population variance for simple random sample is proposed without model assumptions. Some examples are given.

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    File URL: http://www.banxico.org.mx/publicaciones-y-discursos/publicaciones/documentos-de-investigacion/banxico/%7B31A7D60E-72E8-35DE-2A5B-481632141607%7D.pdf
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    Paper provided by Banco de México in its series Working Papers with number 2009-13.

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    Date of creation: Nov 2009
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    Handle: RePEc:bdm:wpaper:2009-13
    Contact details of provider: Web page: http://www.banxico.org.mx

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    1. Kuo-Chung Huang, 2004. "Mixed random systematic sampling designs," Metrika, Springer, vol. 59(1), pages 1-11, 02.
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