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Truncated Power-Normal Distribution with Application to Non-Negative Measurements

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Departamento de Matemáticas, Facultad de Ciencias, Universidad de La Serena, La Serena 1700000, Chile
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Departamento de Matemática, Facultad de Ingeniería, Universidad de Atacama, Copiapó 1530000, Chile
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Departamento de Estatística, Instituto de Matemática e Estatística (IME), Universidade de São Paulo, São Paulo 01000-000, Brazil
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Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
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Author to whom correspondence should be addressed.
Entropy 2018, 20(6), 433; https://doi.org/10.3390/e20060433
Received: 23 March 2018 / Revised: 18 May 2018 / Accepted: 28 May 2018 / Published: 5 June 2018
This paper focuses on studying a truncated positive version of the power-normal (PN) model considered in Durrans (1992). The truncation point is considered to be zero so that the resulting model is an extension of the half normal distribution. Some probabilistic properties are studied for the proposed model along with maximum likelihood and moments estimation. The model is fitted to two real datasets and compared with alternative models for positive data. Results indicate good performance of the proposed model. View Full-Text
Keywords: maximum likelihood; power-normal distribution; truncation; Shannon entropy maximum likelihood; power-normal distribution; truncation; Shannon entropy
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Castillo, N.O.; Gallardo, D.I.; Bolfarine, H.; Gómez, H.W. Truncated Power-Normal Distribution with Application to Non-Negative Measurements. Entropy 2018, 20, 433.

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