Mathematics 2014, 2(1), 12-28; doi:10.3390/math2010012

On the Folded Normal Distribution

1email, 2email and 3,* email
Received: 10 October 2013; in revised form: 26 January 2014 / Accepted: 26 January 2014 / Published: 14 February 2014
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: 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.
Keywords: folded normal distribution; entropy; Kullback–Leibler; maximum likelihood estimates
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MDPI and ACS Style

Tsagris, M.; Beneki, C.; Hassani, H. On the Folded Normal Distribution. Mathematics 2014, 2, 12-28.

AMA Style

Tsagris M, Beneki C, Hassani H. On the Folded Normal Distribution. Mathematics. 2014; 2(1):12-28.

Chicago/Turabian Style

Tsagris, Michail; Beneki, Christina; Hassani, Hossein. 2014. "On the Folded Normal Distribution." Mathematics 2, no. 1: 12-28.

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