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On the Efficiency of Second-Order d-Dimensional Product Kernels

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Transactions on Engineering Technologies

Abstract

This study considers the efficiency of second-order product kernels. The univariate form wherein the product kernels are derived is the symmetric beta kernels. We develop a formula for the efficiency using the Epanechnikov kernel as the optimum kernel based on the fundamentals of the Asymptotic Mean Integrated Square Error (AMISE). The results reveal that the efficiency of the product kernels decreases as their dimension increases and that the product form of the univariate biweight kernel has the highest efficiency value among the beta kernels.

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Author information

Authors and Affiliations

  1. University of Benin, Benin City, Nigeria

    F. O. Oyegue, S. M. Ogbonmwan & V. U. Ekhosuehi

Authors
  1. F. O. Oyegue
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  2. S. M. Ogbonmwan
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  3. V. U. Ekhosuehi
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Corresponding author

Correspondence to F. O. Oyegue .

Editor information

Editors and Affiliations

  1. Computer & Communication, Catholic University of DaeGu Engineering College, DaeGu, Korea, Republic of (South Korea)

    Haeng Kon Kim

  2. College of Engineering, California State Polytechnic University, Pomona, California, USA

    Mahyar A. Amouzegar

  3. IAENG Secretariat, International Association of Engineers, Hong Kong, Hong Kong SAR

    Sio-long Ao

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Oyegue, F.O., Ogbonmwan, S.M., Ekhosuehi, V.U. (2015). On the Efficiency of Second-Order d-Dimensional Product Kernels. In: Kim, H., Amouzegar, M., Ao, Sl. (eds) Transactions on Engineering Technologies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-7236-5_3

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  • DOI: https://doi.org/10.1007/978-94-017-7236-5_3

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-7235-8

  • Online ISBN: 978-94-017-7236-5

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