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A Review of Kernel Density Estimation with Applications to Econometrics

Author

Listed:
  • Adriano Z. Zambom

    (Universidade Estadual de Campinas)

  • Ronaldo Dias

    (Universidade Estadual de Campinas)

Abstract

Nonparametric density estimation is of great importance when econometricians want to model the probabilistic or stochastic structure of a data set. This comprehensive review summarizes the most important theoretical aspects of kernel density estimation and provides an extensive description of classical and modern data analytic methods to compute the smoothing parameter. Throughout the text, several references can be found to the most up-to-date and cut point research approaches in this area, while econometric data sets are analyzed as examples. Lastly, we present SIZer, a new approach introduced by Chaudhuri and Marron (2000), whose objective is to analyze the visible features representing important underlying structures for different bandwidths.

Suggested Citation

  • Adriano Z. Zambom & Ronaldo Dias, 2013. "A Review of Kernel Density Estimation with Applications to Econometrics," International Econometric Review (IER), Econometric Research Association, vol. 5(1), pages 20-42, April.
    • Handle: RePEc:erh:journl:v:5:y:2013:i:1:p:20-42
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    File URL: http://www.era.org.tr/makaleler/13120083.pdf
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    References listed on IDEAS

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    2. Miśkiewicz, Janusz, 2016. "Improving quality of sample entropy estimation for continuous distribution probability functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 473-485.
    3. Han, Qinkai & Ma, Sai & Wang, Tianyang & Chu, Fulei, 2019. "Kernel density estimation model for wind speed probability distribution with applicability to wind energy assessment in China," Renewable and Sustainable Energy Reviews, Elsevier, vol. 115(C).
    4. Diaa Al Mohamad, 2018. "Towards a better understanding of the dual representation of phi divergences," Statistical Papers, Springer, vol. 59(3), pages 1205-1253, September.
    5. Han, Qinkai & Wang, Tianyang & Chu, Fulei, 2022. "Nonparametric copula modeling of wind speed-wind shear for the assessment of height-dependent wind energy in China," Renewable and Sustainable Energy Reviews, Elsevier, vol. 161(C).
    6. William Cipolli & Timothy Hanson, 2019. "Supervised learning via smoothed Polya trees," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 13(4), pages 877-904, December.
    7. Xu, Bing & Costa-Climent, Ricardo & Wang, Yanyan & Xiao, Yuan, 2020. "Financial support for micro and small enterprises: Economic benefit or social responsibility?," Journal of Business Research, Elsevier, vol. 115(C), pages 266-271.
    8. Lei Zhang & Lun Xie & Qinkai Han & Zhiliang Wang & Chen Huang, 2020. "Probability Density Forecasting of Wind Speed Based on Quantile Regression and Kernel Density Estimation," Energies, MDPI, vol. 13(22), pages 1-24, November.
    9. Peng Bin, 2016. "Dynamic Development of Regional Disparity in Mainland China: An Experimental Study Based on a Multidimensional Index," Sustainability, MDPI, vol. 8(12), pages 1-28, December.
    10. Bin, Peng, 2015. "Regional Disparity and Dynamic Development of China: a Multidimensional Index," MPRA Paper 61849, University Library of Munich, Germany.
    11. Han, Qinkai & Chu, Fulei, 2021. "Directional wind energy assessment of China based on nonparametric copula models," Renewable Energy, Elsevier, vol. 164(C), pages 1334-1349.

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    More about this item

    Keywords

    Nonparametric Density Estimation; SiZer; Plug-In Bandwidth Selectors; Cross- Validation; Smoothing Parameter.;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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