MU:MU11184 Applied Statistics II - Course Information

MU11184 Applied Statistics II

Extent and Intensity

0/2/0. 2 credit(s). Type of Completion: z (credit).

Teacher(s)

Mgr. Samuel Joshua Roth, Ph.D. (seminar tutor)

Guaranteed by

RNDr. Oldřich Stolín, Ph.D.
Mathematical Institute in Opava

Timetable of Seminar Groups

MU11184/01: Mon 13:05–14:40 202, S. Roth

Prerequisites

MU11160 Applied Statistics && TYP_STUDIA(B)
The student is supposed to be acquainted with the material covered in Applied statistics.

Course Enrolment Limitations

The course is also offered to the students of the fields other than those the course is directly associated with.

fields of study / plans the course is directly associated with

• Applied Mathematics in Risk Management (programme MU, B1101)
• Mathematical Methods in Economics (programme MU, B1101)

Course objectives (in Czech)

a

Syllabus

• Statistical models.
  The geometry of the space of probability distributions.
  Singular statistical models.
  Variational Bayesian methods.
  Hierarchical models
  Pseudo-Bayesian methods: Expectation-maximization algorithm. Empirical Bayesian methods.
  First encounter with stochastic differential equations.
  Kalman filters.
  Dynamic filters.
  Purposeful control under random influences.
  

Literature

recommended literature
• Sumio Watanabe. Algebraic geometry and statistical learning theory. New York, 2009. ISBN 9780521864671. info
• Amari, Shun-ichi and Nagaoka, Hiroshi. Methods of Information Geometry. Oxford University Press, AMS, 2007. info
• Christian P. Robert. The Bayesian choice: From decision-theoretic foundations to computational implementation. New York, 2007. info
• Christian P. Robert and George Casella. Monte Carlo statistical methods. New York, 2004. info

not specified
• Karl Friston and Klaas Stephan and Baojuan Li and Jean Daunizeau. Generalised Filtering, Mathematical Problems in Engineering, Article ID 621670. 2010. info

Language of instruction

English

Further comments (probably available only in Czech)

Study Materials
The course can also be completed outside the examination period.

Teacher's information

Requirements to pass the course:
Satisfactory completion of all assigned exercises with at most two exceptions.

• Enrolment Statistics (recent)
  
• Permalink: https://is.slu.cz/course/sumu/summer2021/MU11184