Inference for a truncated positive normal distribution

  • Héctor J. GómezEmail author
  • Neveka M. Olmos
  • Héctor Varela
  • Heleno Bolfarine


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.


half-normal distribution maximum likelihood truncation 

MR Subject Classification

62E15 62F10 


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The authors acknowledge helpful comments and suggestions by the referee which substantially improved the presentation. The research of HJGómez, NMOlmos and HVarela was supported by SEMILLERO-UA2014 (Chile). The research of HBolfarine was supported by CNPq and Fapesp (Brasil).


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Copyright information

© Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Héctor J. Gómez
    • 1
    Email author
  • Neveka M. Olmos
    • 2
  • Héctor Varela
    • 2
  • Heleno Bolfarine
    • 3
  1. 1.Departamento de Ciencias Matemáticas y Físicas, Facultad de IngenieríaUniversidad Católica de TemucoTemucoChile
  2. 2.Departamento de Matemáticas, Facultad de Ciencias BásicasUniversidad de AntofagastaAntofagastaChile
  3. 3.Departamento de Estatística, IMEUniversidade de São PauloSão PauloBrazil

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