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A maximum entropy type test of fit

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  • Lee, Sangyeol
  • Vonta, Ilia
  • Karagrigoriou, Alex

Abstract

In this paper, we propose a test of fit based on maximum entropy. The asymptotic distribution of the proposed test statistic is established and a corrected form for small and medium sample sizes is furnished. The performance of the test is investigated through extensive Monte Carlo simulations. Real examples are also presented and analyzed.

Suggested Citation

  • Lee, Sangyeol & Vonta, Ilia & Karagrigoriou, Alex, 2011. "A maximum entropy type test of fit," Computational Statistics & Data Analysis, Elsevier, vol. 55(9), pages 2635-2643, September.
    • Handle: RePEc:eee:csdana:v:55:y:2011:i:9:p:2635-2643
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    References listed on IDEAS

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    1. Gunes, Huseyin & Dietz, Dennis C. & Auclair, Paul F. & Moore, Albert H., 1997. "Modified goodness-of-fit tests for the inverse Gaussian distribution," Computational Statistics & Data Analysis, Elsevier, vol. 24(1), pages 63-77, March.
    2. Norbert Henze & Bernhard Klar, 2002. "Goodness-of-Fit Tests for the Inverse Gaussian Distribution Based on the Empirical Laplace Transform," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 54(2), pages 425-444, June.
    3. Gokhale, D. V., 1983. "On entropy-based goodness-of-fit tests," Computational Statistics & Data Analysis, Elsevier, vol. 1(1), pages 157-165, March.
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    Cited by:

    1. Lee, Sangyeol, 2013. "A maximum entropy type test of fit: Composite hypothesis case," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 59-67.
    2. Thomas Gkelsinis & Alex Karagrigoriou, 2020. "Theoretical Aspects on Measures of Directed Information with Simulations," Mathematics, MDPI, vol. 8(4), pages 1-13, April.
    3. Kim, Byungsoo, 2018. "Robust maximum entropy test for GARCH models based on a minimum density power divergence estimator," Economics Letters, Elsevier, vol. 162(C), pages 93-97.
    4. Türkay Baran & Filiz Barbaros & Ali Gül & Gülay Onuşluel Gül, 2018. "Entropy as a Variation of Information for Testing the Goodness of Fit," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 32(15), pages 5151-5168, December.
    5. Lee, Sangyeol, 2014. "Goodness of fit test for discrete random variables," Computational Statistics & Data Analysis, Elsevier, vol. 69(C), pages 92-100.
    6. Jiménez-Gamero, M.D. & Pino-Mejías, R. & Alba-Fernández, V. & Moreno-Rebollo, J.L., 2011. "Minimum [phi]-divergence estimation in misspecified multinomial models," Computational Statistics & Data Analysis, Elsevier, vol. 55(12), pages 3365-3378, December.
    7. Guoxin Qiu & Kai Jia, 2018. "Extropy estimators with applications in testing uniformity," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 30(1), pages 182-196, January.
    8. Lee, Sangyeol & Oh, Haejune, 2015. "Entropy test and residual empirical process for autoregressive conditional duration models," Computational Statistics & Data Analysis, Elsevier, vol. 86(C), pages 1-12.

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