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Open AccessArticle

Generalized Truncation Positive Normal Distribution

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Departamento de Ciencias Matemáticas y Físicas, Facultad de Ingeniería, Universidad Católica de Temuco, Temuco 4780000, Chile
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Departamento de Matemática, Facultad de Ingeniería, Universidad de Atacama, Copiapó 1530000, Chile
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Author to whom correspondence should be addressed.
Symmetry 2019, 11(11), 1361; https://doi.org/10.3390/sym11111361
Received: 27 September 2019 / Revised: 25 October 2019 / Accepted: 29 October 2019 / Published: 3 November 2019
In this article we study the properties, inference, and statistical applications to a parametric generalization of the truncation positive normal distribution, introducing a new parameter so as to increase the flexibility of the new model. For certain combinations of parameters, the model includes both symmetric and asymmetric shapes. We study the model’s basic properties, maximum likelihood estimators and Fisher information matrix. Finally, we apply it to two real data sets to show the model’s good performance compared to other models with positive support: the first, related to the height of the drum of the roller and the second, related to daily cholesterol consumption. View Full-Text
Keywords: truncation; half-normal distribution; likelihood truncation; half-normal distribution; likelihood
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MDPI and ACS Style

Gómez, H.J.; Gallardo, D.I.; Venegas, O. Generalized Truncation Positive Normal Distribution. Symmetry 2019, 11, 1361.

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