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Influence diagnostic in survey sampling: Estimating the conditional bias

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Abstract.

The conditional bias has been proposed by Moreno Rebollo et al. (1999) as an influence diagnostic in survey sampling, when the inference is based on the randomization distribution generated by a random sampling. The conditional bias is a population parameter. So, from an applied point of view, it must be estimated. In this paper, we propose an estimator of the conditional bias and we study conditions that guarantee its unbiasedness. The results are applied in a Simple Random Sampling and in a Proportional Probability Aggregated Size Sampling, when the ratio estimator is used.

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Authors and Affiliations

  1. Departamento de Estadı´stica e Investigación Operativa, Facultad de Matemáticas, Universidad de Sevilla, C/Tarfia s.n., 41012 Sevilla, Spain. (e-mail: moreno@cica.es anamun@cica.es dolores@cica.es pichardo@cica.es), , , , , , ES

    J. L. Moreno-Rebollo, A. Muñoz-Reyes, M. D. Jiménez-Gamero & J. Muñoz-Pichardo

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  1. J. L. Moreno-Rebollo
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  2. A. Muñoz-Reyes
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  3. M. D. Jiménez-Gamero
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  4. J. Muñoz-Pichardo
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Received October 2000

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Moreno-Rebollo, J., Muñoz-Reyes, A., Jiménez-Gamero, M. et al. Influence diagnostic in survey sampling: Estimating the conditional bias. Metrika 55, 209–214 (2002). https://doi.org/10.1007/s001840100142

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  • DOI: https://doi.org/10.1007/s001840100142

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