Spatial Analysis Using Big Data

4.6. Extended model

In this section, as extended models, we explain two models: spatial generalized linear model (spatial GLM) and geo-additive model.

4.6.1. Spatial generalized linear model

In Chapter 2, we introduced GLM in the following way.

E [ y ( s i ) ] = m ( s i ) , y ( s i ) ∼ N ( m ( s i ) , σ ε 2 ) ,

(4.5.1)

f ( m ) = f ( E [ y ] ) = X β ,

(4.5.2)

Σ = V a r [ y ] = ψ V m ,

(4.5.3)

where m=(m(s ₁),_…, m(s _N ))′ and ψ V _m   =