# Curriculum

The curriculum is defined by the Compendium, the Lectures, the Projects and previous Exams.

The Compendium: Bayesian Spatial Inversion - H.Omre, T.M.Fjeldstad and O.B.Forberg - will be distributed in lectures.

The Lectures: Some additional material will be available on this web-site.

The Projects: See Project page on this web-site.

Previous Exams: See Exam page on this web-site.

Preliminary Curriculum in Compendium:

1.Introduction

2.Bayesian Spatial Inversion

3.Conjugate Inversion Models - NOT 3.1 / 3.2

4. Random Fields

Part I.Traditional Conjugate Spatial Models - ALL

Appendices:

A.Classes of Simulation Algorithms

B.Geostatistics: Kriging Prediction Models

D.Clustered/Repulsive Event RF

E.Markov Random Profile - Markov Random Chain - Equivalence

Unit - Continuous Spatial Variables: 4/.1 + 5/.1 + 6/.1 .2 + 7/.1 + 8/.1 + A + B

Unit - Event Spatial Variables: 4/.2 + 5/.2 + 6/.3 .4 + 7/.2 + 8/.2 + D

Unit - Mosaic Spatial Variables: 4/.3 + 5/.3 + 6/.5 .6 + 7/.3 + 8/.3 + E

For continuous spatial variables:

Johnson; R.A. and Wichern; D.W.; 2007: Applied Multivariate Statistical Analysis, 6th edition; Pearson Prentice Hall; p 773.

• Chapter 4

Noel Cressie and Christopher K Wikle. Statistics for Spatio-Temporal Data. (available as e-book trough the library, use oria.no)

• Chapter 1
• Chapter 2
• Chapter 4, 4.1, 4.2, 4.3

For Event spatial variables:

Statistical Analysis and Modelling of Spatial Point Patterns (2008) by Janine Illian, Antti Penttinen, Helga Stoyan, Dietrich Stoyan:

• Chapter 1
• Chapter 4: 4.2, 4.3

For Mosaic spatial variables:

Hurn, M.; Husby, O. and Rue, H.; 2003: A tutorial on image analysis; in Spatial Statistics and Computational Methods; Møller (Ed); Lecture Notes in Statistics, Vol 173, pp.87-141; Springer Verlag.

For Project work:

Bivand, Pebesma & Gomez-Rubio. Applied Spatial Data Analysis with R be useful (available as e-book through the library).

Case Studies:

Gaussian RF: Buland and Omre; 2003: Bayesian linearized AVO Inversion; Geophysics, Vol.68, No.1 pdf