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International Conference on Active Media Technology

AMT 2013: Active Media Technology pp 359–368Cite as

The GMM Problem as One of the Estimation Methods of a Probability Density Function

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Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 8210))

Abstract

In data analysis, we must be conscious of the probability density function of population distribution. Then it is a problem why the probability density function is expressed.

The estimation of a probability density function based on a sample of independent identically distributed observations is essential in a wide range of applications. The estimation method of probability density function – (1)a parametric method (2)a nonparametric method and (3)a semi-parametric method etc. – it is. In this paper, GMM problem is taken up as a semi-parametric method and We use a wavelet method as a powerful new technique. Compactly supported wavelets are particularly interesting because of their natural ability to represent data with intrinsically local properties.

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Author information

Authors and Affiliations

  1. Faculty of Engineering, Ashikaga Institute of Technology, Ashikaga City, Tochigi Prefecture, Japan

    Kiyoshi Tsukagoshi & Takao Yokota

  2. Faculty of Engineering, Maebashi Institute of Technology, Maebashi City, Gunma Prefecture, Japan

    Kenichi Ida

Authors
  1. Kiyoshi Tsukagoshi
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  2. Kenichi Ida
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  3. Takao Yokota
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Editor information

Editors and Affiliations

  1. Graduate School of Information Science and Technology, Hokkaido University, N-14 W-9, 060-0814, Sapporo, Japan

    Tetsuya Yoshida

  2. Southwestern University of Finance and Economics, Chengdu, China

    Gang Kou

  3. Institute of Mathematics, University of Warsaw, Banacha 2, 02-097, Warsaw, Poland

    Andrzej Skowron

  4. Hong Kong Polytechnic University, Kowloon, Hong Kong

    Jiannong Cao

  5. Bell Labs, Paris, France

    Hakim Hacid

  6. Department of Life Science and Informatics, Maebashi Institute of Technology, 460-1 Kamisadori-cho, 371-0816, Maebashi, Gunma, Japan

    Ning Zhong

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© 2013 Springer International Publishing Switzerland

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Tsukagoshi, K., Ida, K., Yokota, T. (2013). The GMM Problem as One of the Estimation Methods of a Probability Density Function. In: Yoshida, T., Kou, G., Skowron, A., Cao, J., Hacid, H., Zhong, N. (eds) Active Media Technology. AMT 2013. Lecture Notes in Computer Science, vol 8210. Springer, Cham. https://doi.org/10.1007/978-3-319-02750-0_39

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  • DOI: https://doi.org/10.1007/978-3-319-02750-0_39

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02749-4

  • Online ISBN: 978-3-319-02750-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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