DE

Modul

Spatial Stochastics [M-MATH-102903]

Credits
8
Recurrence
Jedes Wintersemester
Duration
1 Semester
Language
Level
4
Version
1

Responsible

Organisation

  • KIT-Fakultät für Mathematik

Part of

Bricks

Identifier Name LP
T-MATH-105867 Spatial Stochastics 8

Competence Certificate

The module will be completed by an oral exam (ca. 30 min).

Competence Goal

The students are familiar with some basic spatial stochastic processes. They do not only understand how to deal with general properties of distributions, but also know how to describe and apply specific models (Poisson process, Gaussian random fields). They know how to work self-organised and self-reflexive.

Prerequisites

none

Content

  • Random sets
  • Point processes
  • Random measures
  • Palm distributions
  • Random fields
  • Gaussian fields
  • Spectral theory of random fields
  • Spatial ergodic theorem

Recommendation

The contents of the module Probability Theory are recommended.

Workload

Total workload: 240 hours

Attendance: 90 hours

  • lectures, problem classes, and examination

Self-studies: 150 hours

  • follow-up and deepening of the course content,
  • work on problem sheets,
  • literature study and internet research relating to the course content,
  • preparation for the module examination