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Kernel choosing with respect to the bandwidth in kernel density estimates

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14750%2F10%3A00044521" target="_blank" >RIV/00216224:14750/10:00044521 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Kernel choosing with respect to the bandwidth in kernel density estimates

  • Original language description

    Kernel density estimates belong to the most popular nonparametric density estimates. It is a known fact, that these estimates depend on a bandwidth, which controls the smoothness of the estimate, and on a kernel, which plays a role of a weight function.Methods for finding the optimal bandwidth were presented e.g. in Duong &amp; Hazelton (2005), Sain et al. (1994). We focus on the kernel function choice, especially on kernels with a bounded support. Wand and Jones (1995) suggested a criterion for the optimal kernel. Our aim is to study the optimality of the kernel with respect to the bandwidth choice. A simulation study brings comparison of the kernels. It shows up, that the cosine kernel performs better than the frequently used Epanechnikov kernel.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2010

  • Confidentiality

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