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Course, academic year 2024/2025
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Invariance Principles - NSTP125
Title: Principy invariance
Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: winter
E-Credits: 6
Hours per week, examination: winter s.:4/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Guarantor: doc. RNDr. Petr Lachout, CSc.
Classification: Mathematics > Probability and Statistics
Pre-requisite : NSTP050
Interchangeability : NMTP434
Annotation -
Convergence of stochastic processes to Wiener process.
Last update: T_KPMS (14.05.2003)
Aim of the course -

To teach and explain theory of convergence of random processes, especially in functional spaces C([0,1]) and D([0,1]).

Last update: T_KPMS (22.05.2008)
Literature - Czech

Štěpán J.: Teorie pravděpodobnosti. Matematické základy. Academia, Praha 1987

Neveu J.: Dicrete Parameter Martingales. North Holland, Amsterodam 1975

Last update: Zakouřil Pavel, RNDr., Ph.D. (05.08.2002)
Teaching methods -

Lecture.

Last update: G_M (27.05.2008)
Syllabus -

Probability measures on metric spaces.

Invariance principles and their applications.

Last update: T_KPMS (14.05.2003)
 
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