TY  - JOUR
AU  - Martin, R. J. 
PY  - 2005
TI  - Some Fast Methods for Fitting Some One-parameter Spatial Models
JF  - Journal of Mathematics and Statistics
VL  - 1
IS  - 4
DO  - 10.3844/jmssp.2005.326.336
UR  - https://thescipub.com/abstract/jmssp.2005.326.336
AB  - It is common in geographic modelling to use a one-parameter spatial model to specify the
inverse covariance matrix in terms of I-βW, for some known matrix W. Exact Gaussian maximum
likelihood estimation of β requires evaluation of the determinant of the covariance matrix. For large
data sets, this evaluation of the determinant can be slow and good approximations can be useful.
Seventy regional configurations are used to consider some approximations to the determinant of I-βW
that are fast to evaluate, and their usefulness is compared.