Inference for a truncated positive normal distribution

The main object of this paper is to study an extension of the half normal distribution defined by adding a positive truncation to it. The new model is more flexible than the half-normal distribution and contains the half normal distribution as a special case. Properties of this distribution, such as...

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Bibliographic Details
Published in:Applied Mathematics-A Journal of Chinese Universities 2018-06, Vol.33 (2), p.163-176
Main Authors: Gómez, Héctor J., Olmos, Neveka M., Varela, Héctor, Bolfarine, Heleno
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
Normal distribution
Parameter estimation
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Summary:The main object of this paper is to study an extension of the half normal distribution defined by adding a positive truncation to it. The new model is more flexible than the half-normal distribution and contains the half normal distribution as a special case. Properties of this distribution, such as moments, hazard function and entropy are studied and parameters estimation is dealt with by using moments and maximum likelihood. A real data application indicates good fit performance of the new model when compared to other competitors in literatures.
ISSN:1005-1031
1993-0445
DOI:10.1007/s11766-018-3354-x