Syllabus. Stat 222, UP m215. Spatial Statistics.
Prof. Rick Paik Schoenberg.
Spring 2020.

Lectures: Online, TTh 930-1045am, via zoom.

Office Hours: Thu 1045am-11:30am, via zoom.

Email: frederic@stat.ucla.edu

Course webpage: http://www.stat.ucla.edu/~frederic/222/S20 .

Statistics 222 will explore the methods used in the analysis of spatial-temporal data, especially point process data. The course will be both theoretical and applied. Students will learn standard concepts in modeling and parameter estimation, followed by some more recent topics such as point process residual analysis and nonparametric estimation of triggering functions in Hawkes models. Examples will be provided throughout the instruction of the course, and students will implement the techniques discussed in class, using real data sets. Dedicated students should come away with an in-depth understanding of statistical concepts related to spatial-temporal point processes, as well as a thorough comprehension of how and when to implement various techniques in practice.

The course is designed for graduate students in statistics or mathematics, and may also be taken by students from other disciplines provided those students have sufficient mathematical and statistical backgrounds. Some experience in statistical computing with R is recommended.

Grading:
exam (45%) Thu May 21 930-1045am.
Oral Presentation (10%) -- via zoom, last 2 weeks of class.
Written project (45%) -- due Wed Jun10, 8pm, by email to me.

Attendance in class is generally not mandatory and not counted as part of the grade. However, the last weeks of class is an exception: all students MUST zoom into class, on time, for the final two weeks.

There will most likely be no extensions for the project or presentation. Students who are unable to make these dates or otherwise fulfill the course requirements must consult with the instructor in advance, if possible.

I am almost always open to questions, but one question I would like you not to ask me is "What did we do in class?" If you miss class, please get caught up from a fellow classmate. I will post pdfs of my presentations on the course website, http://www.stat.ucla.edu/~frederic/222/S20 , and the roster with your names and email addresses is also there. If you would like me to remove your name and/or email from the file roster.txt because of privacy reasons, just let me know by email and I will do it immediately. But if you miss class, I would appreciate it if you could ask someone else in the class what you missed.

Written Project:
Find a spatial-temporal point process dataset and analyze it using some of the relevant methods described in class. Your report should contain about 4-6 pages of text, followed by as many figures as appropriate. You may include as many figures as you like, but the text itself should not exceed 6 pages, double spaced.

In selecting your dataset, choose something that interests you, and try to choose a dataset where the quantification of clustering or inhibition of the locations of the points would be of interest. Begin your paper with an introduction, a description of your data and how they were obtained, and a summary of the main question(s) to be addressed in your paper. Then summarize your analyses, paying special attention to any assumptions you are making and the plausibility of those assumptions. Conclude by assessing how effective the methods you used were in helping to answer your main question(s).

Oral presentations of project results will take place on the last 2 weeks of class. These will involve simply presenting a clear and concise summary of your dataset including a couple of your main results. Do not try to show all the results from your paper in your oral presentation! I will talk more about the presentations as we get closer to the date.