TY - JOUR
T1 - Birnbaum-Saunders quantile regression models with application to spatial data
AU - Sánchez, Luis
AU - LEIVA SANCHEZ, VICTOR ELISEO
AU - Galea, Manuel
AU - Saulo, Helton
N1 - Publisher Copyright:
© 2020 by the authors.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/6/1
Y1 - 2020/6/1
N2 - 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.
AB - 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.
KW - Data analytics
KW - Geostatistical models
KW - Maximum likelihood method
KW - Multivariate distributions
KW - R software
KW - Statistical parameterizations
UR - http://www.scopus.com/inward/record.url?scp=85087790913&partnerID=8YFLogxK
U2 - 10.3390/MATH8061000
DO - 10.3390/MATH8061000
M3 - Article
AN - SCOPUS:85087790913
VL - 8
SP - 1000
JO - Mathematics
JF - Mathematics
SN - 2227-7390
IS - 6
M1 - 1000
ER -