Course Syllabus for

Statistical Inference for Partially Observed Stochastic Processes
Statistisk inferens för partiellt observerade stokastiska processer

FMS020F, 7.5 credits

Valid from: Spring 2016
Decided by: FN1/AndersGustafsson
Date of establishment: 2015-12-21

General Information

Division: Mathematical Statistics
Course type: Third-cycle course
Teaching language: English


The main aim lies in enhancing the scope of statistical problems that the doctoral student will be able to solve. The aim is also that the doctoral student shall gain proficiency with modern statistical methods for inference in partially observed stochastic processes. Partially observed processes encompass a broad class of statistical models with applications in, e.g. finance, environment, and biology. The last purpose of the course is to give the doctoral student knowledge and tools for both parameter inference in partially observed stochastic processes, and reconstruction of the unobserved parts of the process. Computational difficulties of the methods and possible solutions will be presented, allowing the students to apply the methods in their own research.


Knowledge and Understanding

For a passing grade the doctoral student must

Competences and Skills

For a passing grade the doctoral student must

Judgement and Approach

For a passing grade the doctoral student must

Course Contents

Inference and data imputation for diffusions and other continuos-time stochastic processes; iterated filtering; particle marginal methods for parameter inference; approximate Bayesian computation (ABC); inference for Gaussian Markov random fields.

Course Literature

The literature will consist of relevant key publications chosen by the lecturer(s).

Instruction Details

Types of instruction: Lectures, exercises, project

Examination Details

Examination formats: Written report, written assignments. To pass the course students must present the home assignments and an approved written project report.
Grading scale: Failed, pass

Admission Details

Admission requirements: Basics of inference for stochastic processes, Bayesian methods and Monte Carlo methods (e.g. Markov Chain Monte Carlo, Metropolis-Hastings method). For example having taken the courses Time series analysis (FMS051/MASM17) and Monte Carlo and Empirical Methods for Stochastic Inference (FMS091/MASM11).

Course Occasion Information

Contact and Other Information

Course coordinators:
Web page:

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