Spatial Analysis Using Big Data

Chapter Two

Mathematical preparation

Hajime Seya ¹ , and Yoshiki Yamagata ^{2       1} Departments of Civil Engineering, Kobe University, Kobe, Hyogo, Japan      ² Center for Global Environmental Research, National Institute for Environmental Studies, Tsukuba, Ibaraki, Japan

Abstract

Section 2.1 of this chapter defines the typical notations. Section 2.2 explains the classical linear regression model with typical assumptions and discusses what may happen when these assumptions are violated. Estimation techniques such as ordinary least squares, two-stage least squares, and generalized method of moments are briefly explained. Sections 2.3 and 2.4 introduce two advanced regression models, the generalized linear model and the additive model. ...