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An overview of nonparametric contributions to the problem of functional estimation from biased data

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Abstract

This paper presents an overview of nonparametric contributions to the literature on estimation problems when the observations are taken from weighted distributions. Many situations involving biased data in a very diverse range of contexts are considered, with emphasis being placed on the applications of smoothing techniques to estimate curves, such as density and regression functions. Some important problems encountered in semiparametric models are also analyzed.

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  1. Departmento de Métodos Estadísticos, Universidad de Zaragoza, Spain

    José A. Cristóbal & José T. Alcalá

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  1. José A. Cristóbal
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  2. José T. Alcalá
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Correspondence to José A. Cristóbal.

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This work has been partially supported by the DGES Grant PB98-1587.

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Cristóbal, J.A., Alcalá, J.T. An overview of nonparametric contributions to the problem of functional estimation from biased data. Test 10, 309–332 (2001). https://doi.org/10.1007/BF02595700

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