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Priestley-Chao Estimator of Conditional Density

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00095286" target="_blank" >RIV/00216224:14310/17:00095286 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216305:26110/17:PU125904

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Priestley-Chao Estimator of Conditional Density

  • Original language description

    This contribution is focused on a non-parametric estimation of conditional density. Several types of kernel estimators of conditional density are known, the Nadaraya-Watson and the local linear estimators are the widest used ones. We focus on a new estimator - the Priestley-Chao estimator of conditional density. As conditional density can be regarded as a generalization of regression, the Priestley-Chao estimator, proposed initially for kernel regression, is extended for kernel estimation of conditional density. The conditional characteristics and the statistical properties of the suggested estimator are derived. The estimator depends on the smoothing parameters called bandwidths which influence the final quality of the estimate significantly. The cross-validation method is suggested for their estimation and the expression for the cross-validation function is derived.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10103 - Statistics and probability

Result continuities

  • Project

    <a href="/en/project/GA15-06991S" target="_blank" >GA15-06991S: Functional data analysis and related topics</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Mathematics, Information Technologies and Applied Sciences 2017, post-conference proceedings of extended versions of selected papers

  • ISBN

    9788075820266

  • ISSN

  • e-ISSN

  • Number of pages

    13

  • Pages from-to

    151-163

  • Publisher name

    University of Defence, Brno, 2017

  • Place of publication

    Brno

  • Event location

    Brno

  • Event date

    Jun 15, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article