Construction of Confidence Limits for the Probability Density Function on the Basis of Nonparametric Estimation of the Function
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  • 作者：A. V. Lapko (1)
    V. A. Lapko (2)
  • 关键词：probability density function ; confidence limits ; regression estimation ; decomposition of initial data ; nonparametric statistics
  • 刊名：Measurement Techniques
  • 出版年：2014
  • 出版时间：March 2014
  • 年：2014
  • 卷：56
  • 期：12
  • 页码：1354-1357
  • 全文大小：220 KB
  • 参考文献：1. A. V. Lapko, V. A. Lapko, and I. A. Yegorochkin, 鈥淣onparametric estimates of a mixture of probability densities and their use in the image recognition problem,鈥? / Sist. Upravl. Inform. Tekhnol., 35, No. 1, 60鈥?4 (2009).
    2. A. V. Lapko and V. A. Lapko, 鈥淎nalysis of the properties of a mixture of nonparametric estimates of the probability density function of a multidimensional random variable,鈥? / Vest. SibGAU, 28, No. 2, 32鈥?5 (2010).
    3. A. V. Lapko and V. A. Lapko, 鈥淪ynthesis of the structure of a family of nonparametric decision functions in the image recognition problem,鈥? / Avtometriya, 47, No. 4, 76鈥?2 (2011).
    4. A. V. Lapko and V. A. Lapko, 鈥淧roperties of nonparametric estimate of probability density function of multidimensional random variables under conditions of large samples,鈥? / Informat. Sist. Upral., 32, No. 2, 121鈥?26 (2012).
    5. A. V. Lapko and V. A. Lapko, 鈥淣onparametric methods in the analysis of sets of random variables,鈥? / Avtometriya, 39, No. 1, 54鈥?1 (2003).
    6. A. V. Lapko and V. A. Lapko, 鈥淩egression estimate of the probability density function and its properties,鈥? / Sist. Upravl. Inform. Tekhnol., 49, No. 3.1, 152鈥?56 (2012).
    7. E. Parzen, 鈥淥n estimation of a probability density function and mode,鈥? / Ann. Math. Statistic, 33, No. 3, 1065鈥?076 (1962). CrossRef
    8. V. A. Epanechnikov, 鈥淣onparametric estimation of a multidimensional probability density function,鈥? / Teor. Veroyatn. Primen., 14, Iss. 1, 156鈥?61 (1969).
    9. V. B. Goryainov et al., / Mathematical Statistics: A Textbook [in Russian], Izd. MGTU im. N. E. Baumana, Moscow (2001).
  • 作者单位：A. V. Lapko (1)
    V. A. Lapko (2)

    1. Institute of Computational Modeling, Siberian Branch, Russian Academy of Sciences (IVM SO RAN), Krasnoyarsk, Russia
    2. Academician Reshetnev Siberian State Aerospace University, Krasnoyarsk, Russia
  • ISSN：1573-8906
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