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A New Quantile Regression for Modeling Bounded Data under a Unit Birnbaum–Saunders Distribution with Applications in Medicine and Politics
Article

A Note on the Birnbaum–Saunders Conditionals Model

1
Statistics Department, University of California Riverside, Riverside, CA 92521, USA
2
Departamento de Matemática, Facultad de Ingeniería, Universidad de Atacama, Copiapó 1530000, Chile
3
Departamento de Matemática, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
*
Author to whom correspondence should be addressed.
Academic Editor: Lorentz JÄNTSCHI
Symmetry 2021, 13(5), 762; https://doi.org/10.3390/sym13050762
Received: 30 March 2021 / Revised: 19 April 2021 / Accepted: 20 April 2021 / Published: 28 April 2021
As an alternative to available bivariate Birnbaum–Saunders (BS) models, a conditionally specified distribution with BS conditionals is considered. The behavior of conditional or pseudo-likelihood parameter estimates of the model parameters is investigated via simulation. A comparison using a mineralogy data set suggests that the conditionally specified model outperforms competing models (with BS marginals). An analogous comparison using a well-known data set of Australian athletes also suggests the superiority of the conditionally specified model. Further investigation of its possible general superiority is suggested. View Full-Text
Keywords: asymmetric distribution; Birnbaum–Saunders distribution; conditional specifications; multivariate distribution asymmetric distribution; Birnbaum–Saunders distribution; conditional specifications; multivariate distribution
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MDPI and ACS Style

Arnold, B.C.; Gallardo, D.I.; Gómez, H.W. A Note on the Birnbaum–Saunders Conditionals Model. Symmetry 2021, 13, 762. https://doi.org/10.3390/sym13050762

AMA Style

Arnold BC, Gallardo DI, Gómez HW. A Note on the Birnbaum–Saunders Conditionals Model. Symmetry. 2021; 13(5):762. https://doi.org/10.3390/sym13050762

Chicago/Turabian Style

Arnold, Barry C., Diego I. Gallardo, and Héctor W. Gómez 2021. "A Note on the Birnbaum–Saunders Conditionals Model" Symmetry 13, no. 5: 762. https://doi.org/10.3390/sym13050762

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