Information
The course is divided in 3 parts:
- Continuous random fields
- Point random fields
- Mosaic random fields
These 3 parts are lectured with exercises in between as follows:
| Week | Topic | Lectures /Exercises |
|---|---|---|
| 2-6 | Continuous random fields | Lectures |
| 7-8 | Continuous random fields | Exercise 1 |
| 9-10 | Point random fields | Lectures |
| 11-12 | Point random fields | Exercise 2 |
| 13-14 | Mosaic random fields | Lectures |
| 14-15 | Mosaic random fields | Exercise 3 |
Staff
Responsible of lectures: Jo Eidsvik, 1034 Central building II, joeid (at) math.ntnu.no http://www.math.ntnu.no/~joeid/
Responsible of exercises: Erlend Aune, 1022 Central building II, erlenda (at) math.ntnu.no http://www.math.ntnu.no/~erlenda/
Books
Main book in part 1: Le, N.D. and Zidek, J.V.: "Statistical analysis of environmental space-time processes" Springer. Chapter 6,7,8. Available as an e-book from the NTNU library. http://www.springerlink.com/content/978-0-387-26209-3 Note on frequentist methods (www.math.ntnu.no/~joeid/TMA4250/notepart1.pdf) and article (www.math.ntnu.no/~joeid/TMA4250/bulandomre.pdf). Go through these in week 6 (8 og 10 feb).
Main notes in part 2: Stoyan and Stoyan: "Poisson point fields" http://www.math.ntnu.no/~joeid/TMA4250/stoyan.pdf Møller and Waagepetersen: "Modern statistics for spatial point processes" http://www.math.ntnu.no/~joeid/TMA4250/point_proc.pdf
Main note in part 3: Hurn et al. "A tutorial on image analysis" http://www.math.ntnu.no/~joeid/TMA4250/image_ana.pdf
Other books of interest are
- Banerjee et al. "Hierarchical modeling and analysis for spatial data"
- Gaetan and Guyon: "Spatial statistics and modeling"
- and various articles.
Curriculum
Part 1:
- Le and Zidek, chapter 6, 7.1-2 and 8.1-2.
- Note on frequentist estimation and kriging (www.math.ntnu.no/~joeid/TMA4250/notepart1.pdf)
- Article on seismic inversion (www.math.ntnu.no/~joeid/TMA4250/bulandomre.pdf).
Part 2:
- Stoyan and Stoyan: "Poisson point fields" http://www.math.ntnu.no/~joeid/TMA4250/stoyan.pdf
- Møller and Waagepetersen (Special focus on chapter 4 and 5.2) "Modern statistics for spatial point processes" http://www.math.ntnu.no/~joeid/TMA4250/point_proc.pdf
Part 3:
- Hurn et al. (page 1-28) "A tutorial on image analysis" (http://www.math.ntnu.no/~joeid/TMA4250/image_ana.pdf)
Exam
The exam is on 23 May.
You are allowed to bring: 1) Statistical tables and formulas, 2) A yellow sheet of paper with your own notes, stamped by the department, 3) A standard calculator.
One of the exercises counts 30 % of the grade. This must be handed in before 17 May!