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Comparing Distributions: The Harmonic Mass Index

Author

Listed:
  • Jeroen Hinloopen

    (Universiteit van Amsterdam)

  • Charles van Marrewijk

    (Erasmus Universiteit Rotterdam)

Abstract

The information contained in PP-plots is transformed into a single number. The resulting Harmonic Mass (HM) index is distribution free and its sample counterpart is shown to be consistent. For a wide class of CDFs the exact analytical expression of the distribution of the sample HM index is derived, assuming the two underlying samples to be drawn from the same distribution. The robustness of the concomitant test statistic is assessed, and four different methods are discussed for applying the HM test in case of asymmetric samples.

Suggested Citation

  • Jeroen Hinloopen & Charles van Marrewijk, 2005. "Comparing Distributions: The Harmonic Mass Index," Tinbergen Institute Discussion Papers 05-122/1, Tinbergen Institute, revised 30 Dec 2005.
    • Handle: RePEc:tin:wpaper:20050122
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    File URL: https://papers.tinbergen.nl/05122.pdf
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    References listed on IDEAS

    as
    1. Luís M B Cabral & José Mata, 2003. "On the Evolution of the Firm Size Distribution: Facts and Theory," American Economic Review, American Economic Association, vol. 93(4), pages 1075-1090, September.
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    3. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    4. James Proudman & Stephen Redding, 2000. "Evolving Patterns of International Trade," Review of International Economics, Wiley Blackwell, vol. 8(3), pages 373-396, August.
    5. Wagenvoort, Rien & Waldmann, Robert, 2002. "On B-robust instrumental variable estimation of the linear model with panel data," Journal of Econometrics, Elsevier, vol. 106(2), pages 297-324, February.
    6. Geweke, John & Marshall, Robert C & Zarkin, Gary A, 1986. "Mobility Indices in Continuous Time Markov Chains," Econometrica, Econometric Society, vol. 54(6), pages 1407-1423, November.
    7. Arye Hillman, 1980. "Observations on the relation between “revealed comparative advantage” and comparative advantage as indicated by pre-trade relative prices," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 116(2), pages 315-321, June.
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    Citations

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    Cited by:

    1. Steven Brakman & Robert Inklaar & Charles Van Marrewijk, 2013. "Structural change in OECD comparative advantage," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 22(6), pages 817-838, September.
    2. Steven Brakman & Tijl Hendrich & Charles van Marrewijk & Jennifer Olsen, 2023. "On the revealed comparative advantages of Dutch cities," Review of International Economics, Wiley Blackwell, vol. 31(3), pages 785-825, August.
    3. Steven Brakman & Tijl Hendrich & Charles van Marrewijk & Jennifer Olsen & Charles van Marrewijk, 2020. "The Comparative Advantage of Dutch Cities," CESifo Working Paper Series 8649, CESifo.

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    More about this item

    Keywords

    Distribution; PP-plot; test statistic; critical percentile values; robustness.;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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