# ST3201 Mastergradsseminar i statistikk – Spatial statistics

Notes from the organising meeting on September 1st

**Course structure:**

- The seminar will be denoted by TMA4505 for Indmat students, and by ST3201 for others
- The course is based on the spatial statistics course TMA4250, taught by Geir-Arne Fuglstad, and will reference video recorded lectures, exercises, textbooks, and lecture notes from the class on the wiki page (discussed in detail below) and Blackboard.
- There are multiple textbooks for the class. Each lecture from the Spatial Statistics has associated reading from various textbooks.
- The course will be divided into 3 parts:
- Gaussian random fields (this will be the biggest part)
- Point processes
- Gaussian Markov random fields
- There will be 7 meeting in total throughout the semester taking place every other week starting in week 37. Each meeting will be 1 hour long consisting of a 30 minute presentation and 30 minutes of discussion
- Meeting times and places may vary throughout the semester
- There will be a single required project based on the geostatistics portion of the class.
- There will be an oral exam worth 100% of the grade. Details for the exam are not finalized, but it will probably be around 30 minutes, and will require knowledge of all topics throughout the semester.

**Structure of individual meetings and presentations:**

- Each meeting will be 1 hour, with 30 minutes devoted to an individual student’s presentation, and 30 minutes devoted to discussion.
- Presentations will summarize lectures from Geir-Arne’s Spatial Statistics class and associated reading from the textbooks, specifically the lectures and reading mentioned on the wiki page.
- The presentations may also go through one of the exercises from the Spatial Statistics class associated with the lectures presented on.
- The exact structure of the presentations is somewhat flexible, and may change throughout the semester.

Other • Johannes agreed to present for the first meeting, which will be on either Thursday or Friday in week 37 • Project groups will be 2-3 people

Meeting | Date | Responsible | Lectures | Lectures note | Exercise | Relevant Reading | |
---|---|---|---|---|---|---|---|

1 | 16.09.23 | Johannes | Lecture 1.1 | Slides, Lecture notes | GG: Preface, 1.1 | ||

Lecture 1.2 | Slides, Lecture Notes | GG: 1.1, 1.2.1 | |||||

2 | 29.09.23 | Markus | Lecture 2.1 | Repetition, slides, Lecture notes | Exercise, Solution | GG: 1.3.1, 1.3.2, 1.3.3, 1.3.4, 1.4 | |

Lecture 2.2 | Repetition, slides, Lecture notes | GG: 1.4, 1.8 | |||||

3 | 13.10.23 | Lecture 3.1 | |||||

Lecture 3.2 part1,Lecture 3.2 part 2 | |||||||

4 | 26.10.23 | PP1-Part1,PP1_Part2 | Repetition, slides, Lecture notes | Solution, Exercise | [PP]: 1.1–1.9 (for motivation and overview), 2.1, and 2.3, [PP] 3.4.1, 6.2.1 | ||

PP2_part1, PP2_Part2 | Repetition, slides, Lecture notes | ||||||

5 | 03.11.23 | Lecture | Repetition, slides, Lecture notes | [PP] 3.6.1–3.6.2, 6.3.2, 4.1–4.2 [You can read 3.4.2 and 6.4 if you are interested in more info on Cox processes] | |||

Part 1, Part 2 | Repetition, Lecture notes | [PP] 4.2.2, 4.2.5–4.2.7, 4.3.1 | |||||

6 | 10.11.23 | Lecture | Repetition, slides, Lecture notes | Solution, Exercise | [Tutorial]: 3.1–3.3 | ||

Part 1, Part 2 | Repetition, Lecture notes | [GMRF]: 1, 2.1.5, 2.2.1, 2.2.2. | |||||

7 | 24.11.23 | Lecture | Repetition, slides, Lecture notes | [GMRF] 2.2–2.4 | |||

Part 1, Part 2 | Repetition, slides, Lecture notes | [GMRF] 3.3, 2.2.4 |

**References:**

**GG**: Gaetan, C., & Guyon, X. (2010). Spatial statistics and modeling. New York: Springer.

**PP**: Illian, J., Penttinen, A., Stoyan, H., & Stoyan, D. (2008). Statistical analysis and modelling of spatial point patterns. John Wiley & Sons.

**Tutorial**: Hurn, M.A., Husby, O.K., & Rue, H. (2003). A Tutorial on Image Analysis. In: Møller J. (eds) Spatial Statistics and Computational Methods. Lecture Notes in Statistics, vol 173. Springer, New York, NY.

**GMRF**: Rue, H., & Held, L. (2005). Gaussian Markov random fields: theory and applications. CRC press.

**Project:**

Here is the project description and the data you need to use.

Some info about the project:

- This project is compulsory. To be able to take the exam, a reasonable attempt must be made to solve all problems.
- The project must be completed in groups of size 1–2.
- The deadline is set to the end of November
- The submission must be a nicely formatted and well-structured pdf-file. All figures must have captions, and be readable and easily-understandable. All figures must be described in the text. Use consistent notation for vectors, say \boldsymbol{…}, and matrices, say \mathbf{…}.
- Submit code as separate files.
- You can write names on the report