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A Nonparametric Way of Distribution Testing

Author

Listed:
  • Ekrem Kilic

    (Istanbul Bilgi University)

Abstract

Testing the distribution of a random sample can be considered ,indeed, as a goodness-of-fit problem. If we use the nonparametric density estimation of the sample as a consistent estimate of exact distribution, the problem reduces, more specifically, to the distance of two functions. This paper examines the distribution testing from this point of view and suggests a nonparametric procedure. Although the procedure is applicable for all distributions, paper emphasizes on normality test.The critical values for this normality test generated by using Monte Carlo techniques.

Suggested Citation

  • Ekrem Kilic, 2005. "A Nonparametric Way of Distribution Testing," Econometrics 0510006, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpem:0510006
    Note: Type of Document - pdf; pages: 22
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/em/papers/0510/0510006.pdf
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    References listed on IDEAS

    as
    1. Pagan,Adrian & Ullah,Aman, 1999. "Nonparametric Econometrics," Cambridge Books, Cambridge University Press, number 9780521355643, January.
    2. Thanasis Stengos & Ximing Wu, 2010. "Information-Theoretic Distribution Test with Application to Normality," Econometric Reviews, Taylor & Francis Journals, vol. 29(3), pages 307-329.
    3. Thadewald, Thorsten & Büning, Herbert, 2004. "Jarque-Bera test and its competitors for testing normality: A power comparison," Discussion Papers 2004/9, Free University Berlin, School of Business & Economics.
    4. Jarque, Carlos M. & Bera, Anil K., 1980. "Efficient tests for normality, homoscedasticity and serial independence of regression residuals," Economics Letters, Elsevier, vol. 6(3), pages 255-259.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    distribution testing; normality; monte carlo simulation;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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