On the folded normal distribution. (English) Zbl 1425.62025
Summary: 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.
MSC:
| 62E10 | Characterization and structure theory of statistical distributions |
| 62B10 | Statistical aspects of information-theoretic topics |
Software:
VGAMReferences:
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