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On the Folded Normal Distribution


  • Tsagris, Michail
  • Beneki, Christina
  • Hassani, Hossein


The characteristic function of the folded normal distribution and its moment function are derived. The entropy of the folded normal distribution and the Kullback–Leibler from the normal and half normal distributions are approximated using Taylor series. The accuracy of the results are also assessed using different criteria. The maximum likelihood estimates and confidence intervals for the parameters are obtained using the asymptotic theory and bootstrap method. The coverage of the confidence intervals is also examined.

Suggested Citation

  • Tsagris, Michail & Beneki, Christina & Hassani, Hossein, 2013. "On the Folded Normal Distribution," MPRA Paper 53748, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:53748

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    References listed on IDEAS

    1. Psarakis, Stelios & Panaretos, John, 2001. "On Some Bivariate Extensions of the Folded Normal and the Folded-T Distributions," MPRA Paper 6383, University Library of Munich, Germany.
    2. Psarakis, Stelios & Panaretos, John, 1990. "The Folded t Distribution," MPRA Paper 6257, University Library of Munich, Germany.
    3. Yee, Thomas W., 2010. "The VGAM Package for Categorical Data Analysis," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 32(i10).
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    More about this item


    folded normal distribution; entropy; Kullback–Leibler; maximum likelihood estimates;
    All these keywords.

    JEL classification:

    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions


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