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Article

Birnbaum-Saunders Quantile Regression Models with Application to Spatial Data

1
Department of Mathematics and Statistics, Universidad de La Frontera, Temuco 4780000, Chile
2
School of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile
3
Department of Statistics, Pontificia Universidad Católica de Chile, Santiago 8320000, Chile
4
Department of Statistics, Universidade de Brasília, Brasília 70910-90, Brazil
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(6), 1000; https://doi.org/10.3390/math8061000
Received: 30 April 2020 / Revised: 11 June 2020 / Accepted: 12 June 2020 / Published: 18 June 2020
(This article belongs to the Special Issue Statistical Simulation and Computation)
In the present paper, a novel spatial quantile regression model based on the Birnbaum–Saunders distribution is formulated. This distribution has been widely studied and applied in many fields. To formulate such a spatial model, a parameterization of the multivariate Birnbaum–Saunders distribution, where one of its parameters is associated with the quantile of the respective marginal distribution, is established. The model parameters are estimated by the maximum likelihood method. Finally, a data set is applied for illustrating the formulated model. View Full-Text
Keywords: data analytics; geostatistical models; maximum likelihood method; multivariate distributions; R software; statistical parameterizations data analytics; geostatistical models; maximum likelihood method; multivariate distributions; R software; statistical parameterizations
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MDPI and ACS Style

Sánchez, L.; Leiva, V.; Galea, M.; Saulo, H. Birnbaum-Saunders Quantile Regression Models with Application to Spatial Data. Mathematics 2020, 8, 1000. https://doi.org/10.3390/math8061000

AMA Style

Sánchez L, Leiva V, Galea M, Saulo H. Birnbaum-Saunders Quantile Regression Models with Application to Spatial Data. Mathematics. 2020; 8(6):1000. https://doi.org/10.3390/math8061000

Chicago/Turabian Style

Sánchez, Luis; Leiva, Víctor; Galea, Manuel; Saulo, Helton. 2020. "Birnbaum-Saunders Quantile Regression Models with Application to Spatial Data" Mathematics 8, no. 6: 1000. https://doi.org/10.3390/math8061000

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