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Normal log-normal mixture, leptokurtosis and skewness


  • Minxian Yang


The normal log-normal mixture (NLNM) is considered for modelling leptokurtosis and skewness. The moment of the mixture is shown to be finite for any positive order. The expectations of exponential functions of the NLNM variable are also investigated. The kurtosis and skewness of the NLNM are explicitly shown to be determined by the variance of the log normal and the correlation between the normal and log normal. A set of cross-sectional data is fitted to the NLNM to illustrate that idiosyncratic variances may be modelled by the mixture.

Suggested Citation

  • Minxian Yang, 2008. "Normal log-normal mixture, leptokurtosis and skewness," Applied Economics Letters, Taylor & Francis Journals, vol. 15(9), pages 737-742.
  • Handle: RePEc:taf:apeclt:v:15:y:2008:i:9:p:737-742 DOI: 10.1080/13504850600749073

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    References listed on IDEAS

    1. John T. Addison & Claus Schnabel & Joachim Wagner, 2004. "The Course of Research into the Economic Consequences of German Works Councils," British Journal of Industrial Relations, London School of Economics, vol. 42(2), pages 255-281, June.
    2. Richard B. Freeman & Edward P. Lazear, 1995. "An Economic Analysis of Works Councils," NBER Chapters,in: Works Councils: Consultation, Representation, and Cooperation in Industrial Relations, pages 27-52 National Bureau of Economic Research, Inc.
    3. Joachim Wagner, 2006. "Exports, foreign direct investment, and productivity: evidence from German firm level data," Applied Economics Letters, Taylor & Francis Journals, vol. 13(6), pages 347-349.
    4. Thorsten Schank & Claus Schnabel & Joachim Wagner, 2004. "Works councils - sand or grease in the operation of German firms?," Applied Economics Letters, Taylor & Francis Journals, vol. 11(3), pages 159-161.
    5. Olaf H¸bler & Uwe Jirjahn, 2003. "Works Councils and Collective Bargaining in Germany: The Impact on Productivity and Wages," Scottish Journal of Political Economy, Scottish Economic Society, vol. 50(4), pages 471-491, September.
    6. Addison, John T. & Bellmann, Lutz & Schnabel, Claus & Wagner, Joachim, 2002. "The reform of the German works constitution act: a critical assessment," Discussion Papers 16, Friedrich-Alexander University Erlangen-Nuremberg, Chair of Labour and Regional Economics.
    7. repec:mes:challe:v:38:y:1995:i:3:p:53-56 is not listed on IDEAS
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    Cited by:

    1. Ravi Kashyap, 2016. "Combining Dimension Reduction, Distance Measures and Covariance," Papers 1603.09060,, revised Nov 2017.
    2. Artiach, Miguel, 2012. "Leverage, skewness and amplitude asymmetric cycles," MPRA Paper 41267, University Library of Munich, Germany.

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