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L1 Strong Consistency for Density Estimates in Dependent Samples

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Nonparametric Functional Estimation and Related Topics

Part of the book series: NATO ASI Series ((ASIC,volume 335))

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Abstract

We present necessary conditions for L1 strong consistency of Kernel Density Estimates on uniform mixing samples. Those conditions turn out to be the same as in the i.i.d. case. We also study L1 consistency for conditional density estimates.

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Author information

Authors and Affiliations

  1. Dept of Statistics, London School of Economics, Houghton st, London, WC2A 2AE, UK

    G. B. Silveira

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  1. G. B. Silveira
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Editors and Affiliations

  1. Intercollege Division of Statistics, University of California, Davis, California, USA

    George Roussas

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© 1991 Springer Science+Business Media Dordrecht

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Silveira, G.B. (1991). L1 Strong Consistency for Density Estimates in Dependent Samples. In: Roussas, G. (eds) Nonparametric Functional Estimation and Related Topics. NATO ASI Series, vol 335. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3222-0_35

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  • DOI: https://doi.org/10.1007/978-94-011-3222-0_35

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5420-1

  • Online ISBN: 978-94-011-3222-0

  • eBook Packages: Springer Book Archive

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